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A Flexible Reservation Algorithm
      for Advance Network
           Provisioning

  Mehmet Balman , Evangelos Chaniotakis,
         Arie Shoshani, Alex Sim

    Scientific Data Management Research Group (SDM)
              Energy Sciences Network (ESNet)
    Lawrence Berkeley National Laboratory

         SC'10 November 2010, New Orleans, Louisiana, USA
Introduction
   Next generation research networks such as ESNet
    (Energy Sciences Network) provide high-speed on-
    demand data access between collaborating
    institutions by delivering network-as-a-service

    Currently, reservation systems (i.e. OSCARS)
    provides yes/no answers to a reservation request for
    (bandwidth, start_time, end_time)

   We present a novel approach to improve advance
    network reservation system by presenting to the
    clients, the possible reservation options and
    alternatives for earliest completion time and shortest
    transfer duration.
Motivation
    •       We are in a new era that offers new oppurtunities to
            conduct scientific research with the help of
            computation
               •   Computational intensive science: particle physics, climate modelling,
                    bio-informatics simulations

•        Scientific simulations and                       experimental facilities
        generate massive data sets
        •   Climate modelling data
                      •   35 terabytes shared by more then 2500 users worldwide,
                      •   Next generation archive will be more than 650 terabytes

        •   Large Hadron Collider
                      •   Expected to generate 100gigabits per second


        Scientific applications are becoming more data-intensive
        (dealing with petabytes of data)
                      •
Motivation

Large scale application necessitate collaborations

     Data need to be transferred to remote sites for
      further analysis (validate with simulations)
     Need on demand high speed data access between
      collaborating parties
              High performance visualization
              Large volume data analysis
     Need coordination and management of resources

Complex middleware is required to manage the end-
 to-end distribution of data
ESNet (Energy Sciences Network)
   Provides high bandwidth network interconnect
    between more than 40 sites

   Connecting experimental facilities, supercomputing
    centers and thousands DOE scientists

   Delivering network as a service (OSCARS)
      Predictable performance

      Efficient resource utilization

      Guaranteed bandwidth
On-Demand Secure Circuits and Advance Reservation
                    System
                  (OSCARS)
   Conducts a QoS path for guaranteed bandwidth
   End-to-end provisioning between multiple domains

   Guaranteed bandwidth (at certain time, for a certain
    bandwidth and length of time)
          OSCARS components include reservation manager,
           Bandwidth scheduler, and path setup system
          Needs to have information about current and future
           states of the network

Making a reservation → need to ensure availability of the requested
    bandwidth from source to destination for the requested time
    interval
Revervation Request
For every new reservation request
  R={ nsource, ndestination, Mbandwidth, tstart, tend}.

     committed reservations between tstart and tend are examined

     a snapshot graph G' of the network topology is generated
          by extracting available bandwidth information for each
           port in the time period (tstart, tend)



  The shortest path from source to destination is calculated based
  on the engineering metric on each link, and a bandwidth
  guaranteed path is set up to commit and eventually complete the
  reservation request for the given time period
Network Reservation / Topology
 Components (Graph):
   node (router), port, link (connecting two ports)
   engineering metric (~latency)
   maximum bandwidth (capacity)
                                                                     A
                                                          1000Mbps
 Reservation:                                                           800Mbps

    source, destination, path, time                         B                    C
                                                                 300Mbps

                                                           900Mbps       500Mbps
    (time t1, t3) A -> B -> D (900Mbps)
    (time t2, t3) A -> C -> D (400Mbps)                             D

    (time t4, t5) A -> B -> D (800Mpbs)
                            Reservation 1
                     t1
                                     Reservation 2          t4               t5
                                t2                   t3      Reservation 3
Network Reservation / Example
(time t1, t2) :
                                                   A

A to D (600Mbps) no                                    800 Mbps / 0Mbps (800Mbps)
                       100 Mbps / 900Mbps (1000Mbps)


A to D (500Mbps) yes
                                     300 Mbps / 0 Mbps (300Mbps)
                                 B                                     C




                          0 Mbps / 900Mbps (900Mbps)       500 Mbps / 0Mbps (500Mbps)



                                                       D

Active reservation
reservation 1: (time t1, t3) A -> B -> D (900Mbps)
reservation 2: (time t2, t3) A -> C -> D (400Mbps)
reservation 3: (time t4, t5) A -> B -> D (800Mpbs)
Network Reservation / Example
(time t1, t3) :

                                                             A
A to D (500Mbps) no
                                                                 400 Mbps / 400Mbps (800Mbps)
                            100 Mbps / 900Mbps (1000Mbps)
A to C (500Mbps) no

(no splitting – not max-flow)
                                            300 Mbps / 0 Mbps (300Mbps)
                                      B                                            C




                                0 Mbps / 900Mbps (900Mbps)           100 Mbps / 400Mbps (500Mbps)



                                                                 D
Active reservation
reservation 1: (time t1, t3) A -> B -> D (900Mbps)
reservation 2: (time t2, t3) A -> C -> D (400Mbps)
reservation 3: (time t4, t5) A -> B -> D (800Mpbs)
Problem
if the requested bandwidth can not be guaranteed:
                Try-and-error until get an available reservation

     Client is not given other possible options
     Does not provide an optimal choice for client

     May cause ineffective use of overall system

     Overload system with trial-and-error attempts




       End-to-end High Performance Data Movement
                    Bandwidth network reservation

                    Bandwidth provisioning in client sites

                    Storage allocation




   How can we enhance the OSCARS reservation system?
              • Submit constraints and the system suggests possible
                 reservations satisfying requirements
Alternative Approach / Flexible
               Reservation
 Users provide maximum bandwidth they can use, total size of the
  data requested to be transferred, the earliest start time, and the
  latest completion time

 Users can set criteria such that they would like to reserve a path
  for earliest completion time or reserve a path for shortest transfer
  duration.
  Rs'={ nsource , ndestination, MMAXbandwidth, DdataSize, tEarliestStart, tLatestEnd}.

 The reservation engine finds out the reservation
    R={ nsource, ndestination, Mbandwidth, tstart, tend}

    for the earliest completion or for the shortest duration
    where Mbandwidth≤ MMAXbandwidth and tEarliestStart ≤ tstart < tend≤ tLatestEnd .
Time-dependent Graphs

  We deal with a dynamic network such that the bandwidth
  value for every link is time dependent

  The most common approach is the discrete-time algorithms in
   which the time is modeled as a set of discrete values and a
   static graph is constructed for every time interval.

Flexible Reservation Service
   –   Source / destination end-points
   –   Maximum bandwidth that can be used (provisioning in clients)
   –   Amount of data requested to be transferred (Volume)
   –   Earliest start time
   –   Latest completion time
   –   Criteria
                    – reserve a path for earliest completion,
                    – reserve a path shortest transfer duration
Max Bandwidth
   The maximum bandwidth available for allocation
   from a source node to a destination node

Modified version of Kruskal and Dijstra's algorithms
                  » Shortest path,
                  » Min-cost path
                  » Minimum spanning tree              Bottleneck constraint
                  » Max bandwidth path
                                                       (max-bandwith)

                                                           Ex: QoS Constraint is additive
                                                            in shortest path
Path Finding                               A

                  A
                                                                    B                          C
    1000Mbps/          800Mbps /
    eng metric 10      eng metric 20

                                                                                       B           D
                                                               D             C
       B     300Mbps /
                            C
              eng metric 20
     900Mbps
/eng metric 30         500Mbps /                                             D         D
                        eng metric 100
                  D
                                          (2)        A
              (1)       A                                              (3)       A
                                800
                  00
               10




                                                     300
                                          B                C
              B                       C
                                                                    B                      C
                                              90
                                                 0



                                                      D
                         D
                                          Visit B
                                                                                 D
           Visit A                        C (parent A) 800/20/1 hop
           B (parent A) 1000/10/ 1hop     D (parent B) 900/30/2 hops         Visit D
           C (parent A) 800/20/1 hop
                                                           Max bandwidth from A to D is 900
Example Problem
   A vehicle travelling from city A to city B
   There are multiple cities between A and B connected with separate
    highways.
   Each highway has a specific speed limit
        – (maximum bandwidth)
   But we need to reduce our speed if there is high traffic load on the road
   We know the load on each highway for every time period
        – (active reservations)

   The first question is which path the vehicle should follow in order to
    reach city B from city A as early as possible?
   Or, we can delay our journey and start later if the total travel time would
    be reduced. Thus, the second question is to find the route along with
    the starting time for shortest travel duration.
Challange
   But, we are dealing with bandwidth reservation
    where allocation should be set in advance when a
    request is received.

   We have to set the speed limit before starting and
    cannot change that during the journey
      Advance Bandwitdth Reservation




   Therefore, known time-dependent graph algorithms
    do not fit into our problem domain.
Approach
We discretize the time-dependent dynamic network topology by
 dividing the search interval into time steps.
Each time step represents a stable status of the topology.
A time window is subsequent combinations of time steps.

    Search interval is divided into time windows
    Obtain a snaphots of the network topology each
      time windows
    The algorithm should be fast and scalable.
         – Searching the given time interval is accomplished in
             polynomial time.
         – Number of time windows is bounded by the number of active
            reservations
Time steps
Reservation 1: (time t1, t6) A -> B -> D                            A
 (900Mbps)                                        1000Mbps
                                                                          800Mbps
Reservation 2: (time t4, t7) A -> C -> D
                                                         B                   C
 (400Mbps)                                                    300Mbps

Reservation 3: (time t9, t12) A -> B -> D             900Mbps             500Mbps
 (700Mpbs)                                                          D


   t1   t2     t3   t4       t5   t6   t7   t8   t9     t10   t11   t12    t13



             Reservation 1
                         Reservation 2
                                                      Reservation 3
Time steps

      Time steps between t1 and t13                                  Max (2r+1) time steps,
                                                                      where r is the number of
                                                                      reservations
         t1    t2      t3   t4       t5    t6      t7     t8     t9     t10   t11   t12     t13
time


                     Reservation 1
                                   Reservation 2
                                                                      Reservation 3
time steps
                                                  Res
                    Res 1          Res 1,2                                Res 3
                                                   2
          t1                  t4             t6      t7           t9                  t12     t13

  time
                     ts1             ts2          ts3      ts4
Static Graphs
                                                               Res
          Res 1                     Res 1,2                     2
                               t4                            t6        t7          t7       t9
  t1                t4                        t6


           A                          A                            A                        A

            800 Mbps                   400 Mbps                      400 Mbps                800 Mbps
100 Mbps                 100 Mbps                      1000 Mbps                1000 Mbps



       300 Mbps)               300 Mbps)                     300 Mbps)                  300 Mbps)
  B                 C      B                       C     B                  C     B                  C




 0 Mbps         500 Mbps 0 Mbps           100 Mbps 900 Mbps            100 Mbps 900 Mbps         500 Mbps


            D                         D                            D                         D


        G(ts1)                      G(ts2)                    G(ts3)                     G(ts4)
Time Windows
  Max (s × (s + 1))/2 time windows, where s is the number of time steps




                      Res 1,2                                                     Res 2
                                                                   t6                               t9
  t1                                              t6
                                                                tw=ts3+ts4
                          A                                                               A
tw=ts1+ts2
                              400 Mbps                                                        400 Mbps
            100 Mbps                                                        1000 Mbps


                    300 Mbps                                                       300 Mbps
               B                    C                                         B                    C

                                           Bottleneck constraint
              0 Mbps           100 Mbps                                      900 Mbps          100 Mbps


                           D                                                              D

    G(tw)=G(ts1) x G(ts2)                                                 G(tw)=G(ts3) x G(ts4)
Search Time Windows

• Search through these time windows in a sequential order
  to check whether we can satisfy the requested allocation
  for that time window.

• First, check the duration of the time window
   – Can we satisfy the user request in that time windows?
     (we know the max bandwidth user can support)

• Then, calculate the max bandwidth available in the time
  window
Performance
max-bandwidth path ~ O(n^2 )
     n is the number of nodes in the topology graph
In the worst-case, we may require to search all time
windows, (s × (s + 1))/2, where s is the number of
time steps.
If there are r committed reservations in the search
period, there can be a maximum of 2r + 1 different
time steps in the worst-case.
Overall, the worst-case complexity is bounded
by O(r^2 n^2 )
Note: r is relatively very small compared to the number
of nodes n
Example
                                                                         A
    Reservation 1: (time t1, t6) A -> B -> D           1000Mbps
                                                                               800Mbps
      (900Mbps)
    Reservation 2: (time t4, t7) A -> C -> D                  B                   C
                                                                   300Mbps
      (400Mbps)
                                                           900Mbps             500Mbps
    Reservation 3: (time t9, t12) A -> B -> D
      (700Mpbs)                                                          D

        t1   t2     t3   t4       t5   t6   t7   t8   t9     t10   t11   t12    t13



                  Reservation 1
                              Reservation 2
                                                           Reservation 3

from A to D (earliest completion)
       max bandwidth = 200Mbps, volume = 200Mbps x 4 time slots
         earliest start = t1, latest finish t13
Search Order - Time Windows
time                                                 Res
                 Res 1               Res 1,2                                    Res 3
windows                                               2
            t1                t4                t6        t7           t9                     t12   t13

                                                               Max bandwidth from A to D
  t1--t4         Res 1                                                      1. 900Mbps (3)

  t4—t6                              Res 1, 2                               2. 100Mbps (2)

                         Res 1, 2                                           3. 100Mbps (5)
  t1--t6
  t6—t7                                                                     4. 900Mbps (1)
                                                      2
                                                                            5. 100Mbps (3)
  t4—t7                                 Res 1,2
                                                                            6. 100Mbps (6)
  t1—t7                     Res 1, 2                                        7. 900Mpbs (2)
  t7—t9                                                                     8. 900Mbps (3)
  t6—t9                                                        Res 2        9. 100Mbps (5)
  t4—t9                                         Res 1, 2                    10. 100Mbps (8)

  t1—t9                             Res 1, 2


  Reservation: ( A to D ) (100Mbps) start=t1 end=t9
Search Order - Time Windows
Shortest duration?
 time                                            Res
                   Res 1          Res 1,2         2
                                                             Res 3
 windows
             t1              t4             t6     t7   t9              t12   t13
                   Max bandwidth from A to D
   t9—t12                                                    Res 3
                       1. 200Mbps (3)
   t12—t12
                       2. 900Mbps (1)
   t9—t13              3. 200Mbps (4)                           Res 3

                   Reservation: (A to D ) (200Mbps) start=t9 end=t13


from A to D, max bandwidth = 200Mbps
  volume = 175Mbps x 4 time slots
  earliest start = t1, latest finish t13

                  earliest completion: ( A to D ) (100Mbps) start=t1 end=t8
                  shortest duration:   ( A to D ) (200Mbps) start=t9 end=t12.5
Implementation Details

• Query (source, destination, max bandwidth, volume, max hop
  count)
   – Find reachable set from source to destination
   – Search time windows
      •   If reservation request can not fit into the time window skip
      •   Get active reservations for the time window
      •   Query and obtain a value object for the time window
      •   Calculate max bandwidth using the value object
      •   Examine whether request can be satisfied or not?
   – Return a reservation request
            – Start time, end time
            – Bandwidth to allocate
            – Path Value (bandwidth, eng metric, hop count)



Reachable set (hop count?)
Time Steps and Reservations
Experimenting Flexible Reservation
             Service
Each point is average of 100 measurement
      Random graphs
                Set 1: sparse graph


                   Set 2: dense graph
Experimenting Flexible Reservation
             Service
Experimenting Flexible Reservation
             Service
Experimenting Flexible Reservation
 Service (hopCount = 10) (set 1)
Experimenting Flexible Reservation
 Service (hopCount = 10) (set 1)
Summary
●  A new methodology in which users submit constraints
and the system suggests possible reservation options
satisfying requirements

●   Polynomial-time algorithm, where the user species the
     total volume that needs to be transferred, a maximum
     bandwidth that he/she can use, and a desired time
     period within which the transfer should be done.

●   Quite practical even it is applied to large networks with
     thousands of routers and links

●   Implemented our algorithm as a new library (not specific
     to OSCARS) – any reservation system can use that
Thanks

Special Thanks to David Robertson, Mary
Thompson, Chin Guok @ ESNet


     Scientific Data Management Research Group
     http://sdm.lbl.gov


                             Mehmet Balman
                             mbalman@lbl.gov
                             sdm.lbl.gov/~balman
BACKUP
 slides
Implementation Details

• Value
  – bandwidth values used to calculate path in each step
    (searching time windows)
  – Keeps only related link values
• ValueBucket
  – Register reservation list
  – Initialize with a reachable set
  – Query value object by giving a set of active reservations

• Keeps the status of the topology for a specific time
  interval
Implementation Details
• Flow
  –   Register graph object
  –   Find the reachable set with the given maximum hop count
  –   Load a value object
  –   Find maximum bandwidth from source to destination
  –   No unnecessary memory allocation

• Suggest
  –   Register graph object
  –   Register reservation list
  –   Update time window list if necessary
  –   Search time windows
  –   Suggest a reservation request for earliest completion time or
      shortest duration
Implementation
• Graph object
• Reservation list
   – Register graph
   – Register reservations

• Query (source, destination, max bandwidth, volume, max hop
  count)
   – Find reachable set from source to destination
   – Search time windows
       •   If reservation request can not fit into the time window skip
       •   Get active reservations for the time window
       •   Query and obtain a value object for the time window
       •   Calculate max bandwidth using the value object
       •   Examine whether request can be satisfied or not?
   – Return a reservation request
             – Start time, end time
             – Bandwidth to allocate
             – Path Value (bandwidth, eng metric, hop count)
Modular Design for easy
            integration into OSCARS
• Graph object, and Reservation objects already exist in OSCARS
   – No need to replace them
• Other objects need to be added to OSCARS, including:
   –   Time Window object,
   –   Flow object,
   –   Value Bucket object,
   –   Suggest object
• Using “Registration” (reference) method, not “Loading” method
   – E.g. in “flow”, a new graph needs to be only registered; no need to
     recreate a new object
   – This approach supports modularity
Demo
Demo
Generated graph has 12 nodes (node1 to node12       800Mbps available)
   (node1 to node5 800Mbps available )

Reservations from node1 to node12
   1 )max bandwidth 500, volume 3600000 (2hours x 500), start now
   2) max bandwidth 300, volume 2160000 (2hours x 300), start after 1hour
   3) max bandwidth 800, volume 2880000(1hours x 800), start after 4 hours
   4) max bandwidth 200, volume 1440000 (2hours x 200), start after 6 hours
   5) max bandwidth 300, volume 2160000 (2hours x 300), start after 7 hours

For each:
   Ask for a reservation request for earliest completion time
   Apply the reservation


node1 to node12       max bandwidth 700, volume 4320000(2hours x 600)
node1 to node5 max bandwidth 700, volume 4320000(2hours x 600)
Demo

now   1     2     3   4     5    6   7      8
                                                      hours


      500                                             reservations

            300
                          800
                                      200

                                         300

                                                      Time windows

 Available bandwidth from node1 to node12
 300      0      500     800    0     800       600     300

 Available bandwidth from node1 to node5 (node1 to node8)
 500    200      700     800    200    800    800 500
Demo

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Sc10 nov16th-flex res-presentation

  • 1. A Flexible Reservation Algorithm for Advance Network Provisioning Mehmet Balman , Evangelos Chaniotakis, Arie Shoshani, Alex Sim Scientific Data Management Research Group (SDM) Energy Sciences Network (ESNet) Lawrence Berkeley National Laboratory SC'10 November 2010, New Orleans, Louisiana, USA
  • 2. Introduction  Next generation research networks such as ESNet (Energy Sciences Network) provide high-speed on- demand data access between collaborating institutions by delivering network-as-a-service  Currently, reservation systems (i.e. OSCARS) provides yes/no answers to a reservation request for (bandwidth, start_time, end_time)  We present a novel approach to improve advance network reservation system by presenting to the clients, the possible reservation options and alternatives for earliest completion time and shortest transfer duration.
  • 3. Motivation • We are in a new era that offers new oppurtunities to conduct scientific research with the help of computation • Computational intensive science: particle physics, climate modelling, bio-informatics simulations • Scientific simulations and experimental facilities generate massive data sets • Climate modelling data • 35 terabytes shared by more then 2500 users worldwide, • Next generation archive will be more than 650 terabytes • Large Hadron Collider • Expected to generate 100gigabits per second Scientific applications are becoming more data-intensive (dealing with petabytes of data) •
  • 4. Motivation Large scale application necessitate collaborations  Data need to be transferred to remote sites for further analysis (validate with simulations)  Need on demand high speed data access between collaborating parties  High performance visualization  Large volume data analysis  Need coordination and management of resources Complex middleware is required to manage the end- to-end distribution of data
  • 5. ESNet (Energy Sciences Network)  Provides high bandwidth network interconnect between more than 40 sites  Connecting experimental facilities, supercomputing centers and thousands DOE scientists  Delivering network as a service (OSCARS)  Predictable performance  Efficient resource utilization  Guaranteed bandwidth
  • 6. On-Demand Secure Circuits and Advance Reservation System (OSCARS)  Conducts a QoS path for guaranteed bandwidth  End-to-end provisioning between multiple domains  Guaranteed bandwidth (at certain time, for a certain bandwidth and length of time)  OSCARS components include reservation manager, Bandwidth scheduler, and path setup system  Needs to have information about current and future states of the network Making a reservation → need to ensure availability of the requested bandwidth from source to destination for the requested time interval
  • 7. Revervation Request For every new reservation request R={ nsource, ndestination, Mbandwidth, tstart, tend}. committed reservations between tstart and tend are examined a snapshot graph G' of the network topology is generated by extracting available bandwidth information for each port in the time period (tstart, tend) The shortest path from source to destination is calculated based on the engineering metric on each link, and a bandwidth guaranteed path is set up to commit and eventually complete the reservation request for the given time period
  • 8. Network Reservation / Topology  Components (Graph): node (router), port, link (connecting two ports) engineering metric (~latency) maximum bandwidth (capacity) A 1000Mbps  Reservation: 800Mbps  source, destination, path, time B C 300Mbps 900Mbps 500Mbps  (time t1, t3) A -> B -> D (900Mbps)  (time t2, t3) A -> C -> D (400Mbps) D  (time t4, t5) A -> B -> D (800Mpbs) Reservation 1 t1 Reservation 2 t4 t5 t2 t3 Reservation 3
  • 9. Network Reservation / Example (time t1, t2) : A A to D (600Mbps) no 800 Mbps / 0Mbps (800Mbps) 100 Mbps / 900Mbps (1000Mbps) A to D (500Mbps) yes 300 Mbps / 0 Mbps (300Mbps) B C 0 Mbps / 900Mbps (900Mbps) 500 Mbps / 0Mbps (500Mbps) D Active reservation reservation 1: (time t1, t3) A -> B -> D (900Mbps) reservation 2: (time t2, t3) A -> C -> D (400Mbps) reservation 3: (time t4, t5) A -> B -> D (800Mpbs)
  • 10. Network Reservation / Example (time t1, t3) : A A to D (500Mbps) no 400 Mbps / 400Mbps (800Mbps) 100 Mbps / 900Mbps (1000Mbps) A to C (500Mbps) no (no splitting – not max-flow) 300 Mbps / 0 Mbps (300Mbps) B C 0 Mbps / 900Mbps (900Mbps) 100 Mbps / 400Mbps (500Mbps) D Active reservation reservation 1: (time t1, t3) A -> B -> D (900Mbps) reservation 2: (time t2, t3) A -> C -> D (400Mbps) reservation 3: (time t4, t5) A -> B -> D (800Mpbs)
  • 11. Problem if the requested bandwidth can not be guaranteed: Try-and-error until get an available reservation  Client is not given other possible options  Does not provide an optimal choice for client  May cause ineffective use of overall system  Overload system with trial-and-error attempts  End-to-end High Performance Data Movement  Bandwidth network reservation  Bandwidth provisioning in client sites  Storage allocation  How can we enhance the OSCARS reservation system? • Submit constraints and the system suggests possible reservations satisfying requirements
  • 12. Alternative Approach / Flexible Reservation  Users provide maximum bandwidth they can use, total size of the data requested to be transferred, the earliest start time, and the latest completion time  Users can set criteria such that they would like to reserve a path for earliest completion time or reserve a path for shortest transfer duration. Rs'={ nsource , ndestination, MMAXbandwidth, DdataSize, tEarliestStart, tLatestEnd}.  The reservation engine finds out the reservation R={ nsource, ndestination, Mbandwidth, tstart, tend} for the earliest completion or for the shortest duration where Mbandwidth≤ MMAXbandwidth and tEarliestStart ≤ tstart < tend≤ tLatestEnd .
  • 13. Time-dependent Graphs We deal with a dynamic network such that the bandwidth value for every link is time dependent The most common approach is the discrete-time algorithms in which the time is modeled as a set of discrete values and a static graph is constructed for every time interval. Flexible Reservation Service – Source / destination end-points – Maximum bandwidth that can be used (provisioning in clients) – Amount of data requested to be transferred (Volume) – Earliest start time – Latest completion time – Criteria – reserve a path for earliest completion, – reserve a path shortest transfer duration
  • 14. Max Bandwidth The maximum bandwidth available for allocation from a source node to a destination node Modified version of Kruskal and Dijstra's algorithms » Shortest path, » Min-cost path » Minimum spanning tree Bottleneck constraint » Max bandwidth path (max-bandwith)  Ex: QoS Constraint is additive in shortest path
  • 15. Path Finding A A B C 1000Mbps/ 800Mbps / eng metric 10 eng metric 20 B D D C B 300Mbps / C eng metric 20 900Mbps /eng metric 30 500Mbps / D D eng metric 100 D (2) A (1) A (3) A 800 00 10 300 B C B C B C 90 0 D D Visit B D Visit A C (parent A) 800/20/1 hop B (parent A) 1000/10/ 1hop D (parent B) 900/30/2 hops Visit D C (parent A) 800/20/1 hop Max bandwidth from A to D is 900
  • 16. Example Problem  A vehicle travelling from city A to city B  There are multiple cities between A and B connected with separate highways.  Each highway has a specific speed limit – (maximum bandwidth)  But we need to reduce our speed if there is high traffic load on the road  We know the load on each highway for every time period – (active reservations)  The first question is which path the vehicle should follow in order to reach city B from city A as early as possible?  Or, we can delay our journey and start later if the total travel time would be reduced. Thus, the second question is to find the route along with the starting time for shortest travel duration.
  • 17. Challange  But, we are dealing with bandwidth reservation where allocation should be set in advance when a request is received.  We have to set the speed limit before starting and cannot change that during the journey  Advance Bandwitdth Reservation  Therefore, known time-dependent graph algorithms do not fit into our problem domain.
  • 18. Approach We discretize the time-dependent dynamic network topology by dividing the search interval into time steps. Each time step represents a stable status of the topology. A time window is subsequent combinations of time steps.  Search interval is divided into time windows  Obtain a snaphots of the network topology each time windows  The algorithm should be fast and scalable. – Searching the given time interval is accomplished in polynomial time. – Number of time windows is bounded by the number of active reservations
  • 19. Time steps Reservation 1: (time t1, t6) A -> B -> D A (900Mbps) 1000Mbps 800Mbps Reservation 2: (time t4, t7) A -> C -> D B C (400Mbps) 300Mbps Reservation 3: (time t9, t12) A -> B -> D 900Mbps 500Mbps (700Mpbs) D t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 Reservation 1 Reservation 2 Reservation 3
  • 20. Time steps  Time steps between t1 and t13 Max (2r+1) time steps, where r is the number of reservations t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 time Reservation 1 Reservation 2 Reservation 3 time steps Res Res 1 Res 1,2 Res 3 2 t1 t4 t6 t7 t9 t12 t13 time ts1 ts2 ts3 ts4
  • 21. Static Graphs Res Res 1 Res 1,2 2 t4 t6 t7 t7 t9 t1 t4 t6 A A A A 800 Mbps 400 Mbps 400 Mbps 800 Mbps 100 Mbps 100 Mbps 1000 Mbps 1000 Mbps 300 Mbps) 300 Mbps) 300 Mbps) 300 Mbps) B C B C B C B C 0 Mbps 500 Mbps 0 Mbps 100 Mbps 900 Mbps 100 Mbps 900 Mbps 500 Mbps D D D D G(ts1) G(ts2) G(ts3) G(ts4)
  • 22. Time Windows Max (s × (s + 1))/2 time windows, where s is the number of time steps Res 1,2 Res 2 t6 t9 t1 t6 tw=ts3+ts4 A A tw=ts1+ts2 400 Mbps 400 Mbps 100 Mbps 1000 Mbps 300 Mbps 300 Mbps B C B C Bottleneck constraint 0 Mbps 100 Mbps 900 Mbps 100 Mbps D D G(tw)=G(ts1) x G(ts2) G(tw)=G(ts3) x G(ts4)
  • 23. Search Time Windows • Search through these time windows in a sequential order to check whether we can satisfy the requested allocation for that time window. • First, check the duration of the time window – Can we satisfy the user request in that time windows? (we know the max bandwidth user can support) • Then, calculate the max bandwidth available in the time window
  • 24. Performance max-bandwidth path ~ O(n^2 ) n is the number of nodes in the topology graph In the worst-case, we may require to search all time windows, (s × (s + 1))/2, where s is the number of time steps. If there are r committed reservations in the search period, there can be a maximum of 2r + 1 different time steps in the worst-case. Overall, the worst-case complexity is bounded by O(r^2 n^2 ) Note: r is relatively very small compared to the number of nodes n
  • 25. Example A Reservation 1: (time t1, t6) A -> B -> D 1000Mbps 800Mbps (900Mbps) Reservation 2: (time t4, t7) A -> C -> D B C 300Mbps (400Mbps) 900Mbps 500Mbps Reservation 3: (time t9, t12) A -> B -> D (700Mpbs) D t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 Reservation 1 Reservation 2 Reservation 3 from A to D (earliest completion) max bandwidth = 200Mbps, volume = 200Mbps x 4 time slots earliest start = t1, latest finish t13
  • 26. Search Order - Time Windows time Res Res 1 Res 1,2 Res 3 windows 2 t1 t4 t6 t7 t9 t12 t13 Max bandwidth from A to D t1--t4 Res 1 1. 900Mbps (3) t4—t6 Res 1, 2 2. 100Mbps (2) Res 1, 2 3. 100Mbps (5) t1--t6 t6—t7 4. 900Mbps (1) 2 5. 100Mbps (3) t4—t7 Res 1,2 6. 100Mbps (6) t1—t7 Res 1, 2 7. 900Mpbs (2) t7—t9 8. 900Mbps (3) t6—t9 Res 2 9. 100Mbps (5) t4—t9 Res 1, 2 10. 100Mbps (8) t1—t9 Res 1, 2 Reservation: ( A to D ) (100Mbps) start=t1 end=t9
  • 27. Search Order - Time Windows Shortest duration? time Res Res 1 Res 1,2 2 Res 3 windows t1 t4 t6 t7 t9 t12 t13 Max bandwidth from A to D t9—t12 Res 3 1. 200Mbps (3) t12—t12 2. 900Mbps (1) t9—t13 3. 200Mbps (4) Res 3 Reservation: (A to D ) (200Mbps) start=t9 end=t13 from A to D, max bandwidth = 200Mbps volume = 175Mbps x 4 time slots earliest start = t1, latest finish t13 earliest completion: ( A to D ) (100Mbps) start=t1 end=t8 shortest duration: ( A to D ) (200Mbps) start=t9 end=t12.5
  • 28. Implementation Details • Query (source, destination, max bandwidth, volume, max hop count) – Find reachable set from source to destination – Search time windows • If reservation request can not fit into the time window skip • Get active reservations for the time window • Query and obtain a value object for the time window • Calculate max bandwidth using the value object • Examine whether request can be satisfied or not? – Return a reservation request – Start time, end time – Bandwidth to allocate – Path Value (bandwidth, eng metric, hop count) Reachable set (hop count?)
  • 29. Time Steps and Reservations
  • 30. Experimenting Flexible Reservation Service Each point is average of 100 measurement  Random graphs  Set 1: sparse graph  Set 2: dense graph
  • 33. Experimenting Flexible Reservation Service (hopCount = 10) (set 1)
  • 34. Experimenting Flexible Reservation Service (hopCount = 10) (set 1)
  • 35. Summary ● A new methodology in which users submit constraints and the system suggests possible reservation options satisfying requirements ● Polynomial-time algorithm, where the user species the total volume that needs to be transferred, a maximum bandwidth that he/she can use, and a desired time period within which the transfer should be done. ● Quite practical even it is applied to large networks with thousands of routers and links ● Implemented our algorithm as a new library (not specific to OSCARS) – any reservation system can use that
  • 36. Thanks Special Thanks to David Robertson, Mary Thompson, Chin Guok @ ESNet Scientific Data Management Research Group http://sdm.lbl.gov Mehmet Balman mbalman@lbl.gov sdm.lbl.gov/~balman
  • 38. Implementation Details • Value – bandwidth values used to calculate path in each step (searching time windows) – Keeps only related link values • ValueBucket – Register reservation list – Initialize with a reachable set – Query value object by giving a set of active reservations • Keeps the status of the topology for a specific time interval
  • 39. Implementation Details • Flow – Register graph object – Find the reachable set with the given maximum hop count – Load a value object – Find maximum bandwidth from source to destination – No unnecessary memory allocation • Suggest – Register graph object – Register reservation list – Update time window list if necessary – Search time windows – Suggest a reservation request for earliest completion time or shortest duration
  • 40. Implementation • Graph object • Reservation list – Register graph – Register reservations • Query (source, destination, max bandwidth, volume, max hop count) – Find reachable set from source to destination – Search time windows • If reservation request can not fit into the time window skip • Get active reservations for the time window • Query and obtain a value object for the time window • Calculate max bandwidth using the value object • Examine whether request can be satisfied or not? – Return a reservation request – Start time, end time – Bandwidth to allocate – Path Value (bandwidth, eng metric, hop count)
  • 41. Modular Design for easy integration into OSCARS • Graph object, and Reservation objects already exist in OSCARS – No need to replace them • Other objects need to be added to OSCARS, including: – Time Window object, – Flow object, – Value Bucket object, – Suggest object • Using “Registration” (reference) method, not “Loading” method – E.g. in “flow”, a new graph needs to be only registered; no need to recreate a new object – This approach supports modularity
  • 42. Demo
  • 43. Demo Generated graph has 12 nodes (node1 to node12 800Mbps available) (node1 to node5 800Mbps available ) Reservations from node1 to node12 1 )max bandwidth 500, volume 3600000 (2hours x 500), start now 2) max bandwidth 300, volume 2160000 (2hours x 300), start after 1hour 3) max bandwidth 800, volume 2880000(1hours x 800), start after 4 hours 4) max bandwidth 200, volume 1440000 (2hours x 200), start after 6 hours 5) max bandwidth 300, volume 2160000 (2hours x 300), start after 7 hours For each: Ask for a reservation request for earliest completion time Apply the reservation node1 to node12 max bandwidth 700, volume 4320000(2hours x 600) node1 to node5 max bandwidth 700, volume 4320000(2hours x 600)
  • 44. Demo now 1 2 3 4 5 6 7 8 hours 500 reservations 300 800 200 300 Time windows Available bandwidth from node1 to node12 300 0 500 800 0 800 600 300 Available bandwidth from node1 to node5 (node1 to node8) 500 200 700 800 200 800 800 500
  • 45. Demo