1、Input Data(Demand)Input Data(Costs etc.)MonthDemandItemCostJanuary1,000Materials cost/unit20.0February1,100Inventory holding cost/unit/month3.0March1,000Marginal cost of stockout/unit/monthApril1,200Hiring and training cost/worker800.0May1,500Layoff cost/worker1,200.0June1,600Labor hours required/un
2、it0.1667July1,600Regular time cost/hour20.0August900Over time cost/hour30.0September1,100Marginal subcontracting cost/unitOctober800November1,400Initial Workforce size1200December1,700Maximum overtime per worker per month20Starting inventory(000s)50Ending inventory(000s)50Temporary Pool100Aggregate
3、Plan Decision Variables(demand,inventory,production in 000s)HtLtTtWtOtItPeriod#Hired#Laid off#Temp#WorkforceOvertimeInventory00001,3000501-310-9900.00.02156-1,1460.00.03154-1,3006000.0284.040-1,30026000.0488.05(0)-1,30026000.0392.060-1,30026000.0196.07-1,30026000.00.08-363-9380.00.09208-1,1460.00.01
4、044-1,1900.0342.011110-1,30026000.0346.012-0-1,30026000.050.0CostsPeriodHiringLay offTempRegular timeOvertimeInventory10372,50003,166,667002125,000003,666,667003123,333004,160,000180,000852,00040004,160,000780,0001,464,00050004,160,000780,0001,176,00060004,160,000780,000588,00070004,160,000780,00008
5、0435,00003,000,000009166,667003,666,667001035,000003,806,66701,026,0001188,333004,160,000780,0001,038,000120004,160,000780,000150,000Total cost=$356,926,500ConstraintsStCtPtStockoutSubcontractProductionDemandInventory00000.09501,0000000.011001,1000000.012841,0000000.014041,2000000.014041,500 200000.
6、014041,600 200000.014041,600 200000.09009000000.011001,1000000.011428000000.014041,4000000.014041,70000StockoutSubcontractMaterial 0019,000,000#Temp0022,000,000500025,680,00000028,080,00000028,080,000500028,080,000500028,080,000500018,000,000500022,000,000500022,840,00000028,080,00000028,080,0000298
7、,000,0005050OvertimeProductionWorkforceOT Production19791.6666700022916.666670002000000360001560001560001560001561875000022916.6666700023791.66667000000156000156 Wt#Permanent#Workforce1,2501,3009909901,1461,1461,2501,3001,2501,3001,2501,3001,2501,3001,2501,3009389381,1461,1461,1901,1901,2501,3001,25
8、01,300Production Plan for Year1234567891011120.0200.0400.0600.0800.01000.01200.01400.01600.01800.0MonthInventoryTotal ProductionDemandOvertime ProductionSubcontractHtLtTtWtPtHtLtTt#Hired#Laid off#Temp#Workforce Production#Hired#Laid off#Temp0001,25000000-1,2509500-(0)-1,25011000-0-1,2501200-0100-100
9、1,250132650-50-1001,25014580-500-1001,2501458-50-01001,2501458-050-100-1,250900-50-(0)-1,2501100-(0)-1,2501200(0)-96-961,250129250-504-1001,25014580-50WtPtHtLtTtWtWt#WorkforceProduction#Hired#Laid off#Temp#Permanent#workforce1,250000501,2501,3001,250950-31009909901,2501184156-01,1461,1461,2501200 154-501,2501,3001,2501404-501,2501,3001,2501404-501,2501,3001,2501404-501,2501,3001,2501404-501,2501,3001,250900-36309389381,2501100208-01,1461,1461,250120044-01,1901,1901,2501346110-501,2501,3001,25014040-501,2501,300PtProduction09501100128414041404140414049001100114214041404
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