SummarySOM Assignment Submission Group 3

Ruchi SinghPGP/18/163Vineet Prashant ToppoPGP/18/116Jaspreet KaurPGP/18/298BenjaminTo become efficientInefficient TerminalsReduce Labor-Hours byORReduce Facility Dollars byBaltimore6.3043478261-Richmond38.333333333356.0975609756Charleston41.666666666760.9756097561Jacksonville-171.4285714286Jacksonville is the worst performer with efficiency of 0.5714285714Can reduce labor hours by 12.85 & facility dollars by 171.43

ResultsService UnitEfficiency RatingEfficiency Reference SetRelative Labor Hour Value (v1)Relative Material Value (v2)To become efficientBy reducing laborBy reducing facility dollar ($)S1Philadelphia1NA00.002000S2Baltimore0.8739130435Washington(0.717391304347826)0.020.0000000.12608695656.30434782610.7173913043Savannah(0.195652173913044)0.1956521739S3Washington1NA00.002500S4Richmond0.9021276596Washington(0.595744680851064)0.00255319150.0017450.097872340438.333333333356.09756097560.5957446809Raleigh(0.0851063829787234)0.085106383Savannah(0.297872340425532)0.2978723404S5Raleigh1NA00.002500S6Charleston0.8936170213Washington(0.212765957446808)0.00255319150.0017450.106382978741.666666666760.97560975610.2127659574Raleigh(0.74468085106383)0.7446808511Savannah(0.106382978723404)0.1063829787S7Savannah1NA00.001667S8Jacksonville0.5714285714Raleigh(0.142857142857143)00.0025000.4285714286171.42857142860.1428571429Savannah(0.285714285714286)0.2857142857Calculation of Excess Inputs Used ByS2Outputs & InputsReference SetsS2Excess Inputs UsedBaltimoreTicket Sales3003000Philadelphia70030040500Freight Sales6006000Baltimore30060050500Labor-Hours43.6956521739506.3043478261Washington20070050400Facility Dollars404.34782608750095.652173913Richmond40060050500Raleigh50040040400Calculation of Excess Inputs Used ByCharleston50050050500S4Outputs & InputsReference SetsS4Excess Inputs UsedSavannah80050040600RichmondTicket Sales4004000Jacksonville30020030400Freight Sales6006000Labor-Hours45.1063829787504.8936170213Facility Dollars451.063829787250048.9361702128Calculation of Excess Inputs Used ByS6Outputs & InputsReference SetsS6Excess Inputs UsedCharlestonTicket Sales5005000Freight Sales5005000Labor-Hours44.6808510638505.3191489362Facility Dollars446.808510638350053.1914893617Calculation of Excess Inputs Used ByS8Outputs & InputsReference SetsS8Excess Inputs UsedJacksonvilleTicket Sales3003000Freight Sales2002000Labor-Hours17.14285714293012.8571428571Facility Dollars228.5714285714400171.4285714286

PhiladelphiaVariablesu1u2v1v2Value0.0014285714000.002Obj.FunE(Max)=700*u1300*u2=1ConstraintsValueRHSPhiladelphia700300-40-500=0