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Lot Sizing Techniques To determine batch size for purchased or produced items Anand Subramaniam
[object Object],[object Object]
Lot Sizing Decision – Impact & Determined ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Lot Sizing & Safety Stock  Lot Size Item quantity that is made or purchased. Safety Stock  Quantity of stock planned to be in inventory to protect against fluctuations in demand and / or supply
Lot Sizing Techniques ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Fixed Order Quantity (FOQ) ,[object Object],[object Object]
Example - FOQ           500   500   Planned Order Releases       500   500       Planned Receipts 150 265 450 570 200 460 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 500 Order Quantity
Economic Order Quantity (EOQ) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],H p C D C / 2
Example - EOQ Avg. Demand = 152.5/wk  D = 152.5 ´ 52 wks/yr = 7,930  EOQ =  =  = 650  50 . 1 25 . 0 ) 930 , 7 )( 10 ( 2        650       650   Planned Order Releases   650       650       Planned Receipts 450 565 100 220 350 610 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80  EOQ Order Quantity Setup cost = $10/order : Cost of item = $1.50/unit : Inventory carrying cost = 25% /year
Lot-for-Lot (LFL) ,[object Object],[object Object],[object Object],[object Object]
Example – LFL     115 185 120 130 260 120   Planned Order Releases 115 185 120 130 260 120       Planned Receipts 80 80 80 80 80 80 80 80 80 Projected Available             160 130   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 LFL Order Quantity
Periods of Supply (POS) ,[object Object]
Example - POS 3 Weeks         420     510   Planned Order Releases     420     510       Planned Receipts 80 195 380 80 210 470 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 POS Order Quantity
Period Order Quantity (POQ) ,[object Object],[object Object]
Example - POQ EOQ = 650 (Slide # 13)               630   Planned Order Releases           630       Planned Receipts ? ? 80 200 330 590 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 Avg Week Use = 152.5 : POQ = 650/152.5 = 4.26 » 4 POQ Order Quantity
Least Unit Cost (LUC) ,[object Object],[object Object],[object Object],[object Object]
Example - LUC COQ *= Carrying cost - (260)(0.007212)(1 wk) = 1.875 : (185)(0.007212)(4 wks) = 5.337 : (115)(0.007212)(5 wks) = 4.147 Inventory carrying cost = (25%)($1.50/52) = $0.007212/unit/wk 0.028 25.83 15.83 4.15 10 5 115 930 8 115 0.027 21.68 11.68 5.34 10 4 185 815 7 185 0.026 16.35 6.35 2.60 10 3 120 630 6 120 0.027 13.75 3.75 1.88 10 2 130 510 5 130 0.031 11.88 1.88 1.88 10 1 260 380 4 260 0.083 10 0.00 0.00 10 0 0 120 3 120 Unit Cost Total Cost Cum Cost This Period (*) Order Cost Week Carried  Excess Inv Cum Order Qty In Period  Future Reqmnt     Carrying Cost            
Example - LUC LUC = COQ* = 630               630   Planned Order Releases           630       Planned Receipts ? ? 80 200 330 590 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 Order Quantity
Least Total Cost (LTC) ,[object Object],[object Object],[object Object],[object Object]
Example - LTC 25.83 15.83 4.15 10 5 115 930 8 115 21.68 11.68 5.34 10 4 185 815 7 185 16.35 6.35 2.60 10 3 120 630 6 120 13.75 3.75 1.88 10 2 130 510 5 130 11.88 1.88 1.88 10 1 260 380 4 260 10 0.00 0.00 10 0 0 120 3 120 Total Cost Cum Cost This Period Order Cost Week Carried  Excess Inv Cum Order Qty In Period  Future Reqmnt   Carrying Cost            
Example - LTC LTC = 815       ?         815   Planned Order Releases   ?         815       Planned Receipts ? 80 265 385 515 775 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 Order Quantity
Part Period Balancing (PPB) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example - PPB 2195 575 5 115 930 8 115 1620 740 4 185 815 7 185 880 360 3 120 630 6 120 520 260 2 130 510 5 130 260 260 1 260 380 4 260 0 0 0 0 120 3 120 Cum Cost This Period Week Carried  Excess Inv Cum Order Qty In Period  Future Reqmnt Part Period          
Example - PPB PPB = 815       ?         815   Planned Order Releases   ?         815       Planned Receipts ? 80 265 385 515 775 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 Order Quantity
[object Object],[object Object]
[object Object],[object Object]

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Lot Sizing Techniques

  • 1. Lot Sizing Techniques To determine batch size for purchased or produced items Anand Subramaniam
  • 2.
  • 3.
  • 4. Lot Sizing & Safety Stock Lot Size Item quantity that is made or purchased. Safety Stock Quantity of stock planned to be in inventory to protect against fluctuations in demand and / or supply
  • 5.
  • 6.
  • 7. Example - FOQ           500   500   Planned Order Releases       500   500       Planned Receipts 150 265 450 570 200 460 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 500 Order Quantity
  • 8.
  • 9. Example - EOQ Avg. Demand = 152.5/wk D = 152.5 ´ 52 wks/yr = 7,930 EOQ = = = 650 50 . 1 25 . 0 ) 930 , 7 )( 10 ( 2        650       650   Planned Order Releases   650       650       Planned Receipts 450 565 100 220 350 610 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 EOQ Order Quantity Setup cost = $10/order : Cost of item = $1.50/unit : Inventory carrying cost = 25% /year
  • 10.
  • 11. Example – LFL     115 185 120 130 260 120   Planned Order Releases 115 185 120 130 260 120       Planned Receipts 80 80 80 80 80 80 80 80 80 Projected Available             160 130   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 LFL Order Quantity
  • 12.
  • 13. Example - POS 3 Weeks         420     510   Planned Order Releases     420     510       Planned Receipts 80 195 380 80 210 470 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 POS Order Quantity
  • 14.
  • 15. Example - POQ EOQ = 650 (Slide # 13)               630   Planned Order Releases           630       Planned Receipts ? ? 80 200 330 590 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 Avg Week Use = 152.5 : POQ = 650/152.5 = 4.26 » 4 POQ Order Quantity
  • 16.
  • 17. Example - LUC COQ *= Carrying cost - (260)(0.007212)(1 wk) = 1.875 : (185)(0.007212)(4 wks) = 5.337 : (115)(0.007212)(5 wks) = 4.147 Inventory carrying cost = (25%)($1.50/52) = $0.007212/unit/wk 0.028 25.83 15.83 4.15 10 5 115 930 8 115 0.027 21.68 11.68 5.34 10 4 185 815 7 185 0.026 16.35 6.35 2.60 10 3 120 630 6 120 0.027 13.75 3.75 1.88 10 2 130 510 5 130 0.031 11.88 1.88 1.88 10 1 260 380 4 260 0.083 10 0.00 0.00 10 0 0 120 3 120 Unit Cost Total Cost Cum Cost This Period (*) Order Cost Week Carried Excess Inv Cum Order Qty In Period Future Reqmnt     Carrying Cost            
  • 18. Example - LUC LUC = COQ* = 630               630   Planned Order Releases           630       Planned Receipts ? ? 80 200 330 590 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 Order Quantity
  • 19.
  • 20. Example - LTC 25.83 15.83 4.15 10 5 115 930 8 115 21.68 11.68 5.34 10 4 185 815 7 185 16.35 6.35 2.60 10 3 120 630 6 120 13.75 3.75 1.88 10 2 130 510 5 130 11.88 1.88 1.88 10 1 260 380 4 260 10 0.00 0.00 10 0 0 120 3 120 Total Cost Cum Cost This Period Order Cost Week Carried Excess Inv Cum Order Qty In Period Future Reqmnt   Carrying Cost            
  • 21. Example - LTC LTC = 815       ?         815   Planned Order Releases   ?         815       Planned Receipts ? 80 265 385 515 775 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 Order Quantity
  • 22.
  • 23. Example - PPB 2195 575 5 115 930 8 115 1620 740 4 185 815 7 185 880 360 3 120 630 6 120 520 260 2 130 510 5 130 260 260 1 260 380 4 260 0 0 0 0 120 3 120 Cum Cost This Period Week Carried Excess Inv Cum Order Qty In Period Future Reqmnt Part Period          
  • 24. Example - PPB PPB = 815       ?         815   Planned Order Releases   ?         815       Planned Receipts ? 80 265 385 515 775 80 240 370 Projected Available                   Scheduled Receipts 115 185 120 130 260 120 160 130   Gross Requirement 8 7 6 5 4 3 2 1 Lead Time = 2 weeks Week Safety Stock = 80 Order Quantity
  • 25.
  • 26.