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HW6 Solutions

# HW6 Solutions - OSCM 230 Homework 06 HOMEWORK#6 SOLUTIONS...

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OSCM 230 Homework 06 H O M E W O R K # 6 S O L U T I O N S I N T E G E R P R O G R A M M I N G 1. A startup problem Define Ai=1 if generator  A  is on in period  i , 0 otherwise, i=1,2. Bi=1 if generator  B  is on in period  i , 0 otherwise, i=1,2. Ci=1 if generator  C  is on in period  i , 0 otherwise, i=1,2. X Ai  = megawatts generated by generator A in period i, i=1,2 X Bi  = megawatts generated by generator B in period i, i=1,2 X Ci  = megawatts generated by generator A in period i, i=1,2 The ILP is: Min 5( X A1 + X A2 ) + 4( X B1 + X B2 ) + 7( X C1 + X C2 ) + 3000A 2 + 2000B 2 + 1000C 2 s.t. A <= A 2   (if a generator is start up in period 1, it is best to leave it on in period 2  B <= B 2     just in case its capacity is needed in period 2)  C <= C 2      X Ai  <= 2100 Ai, i=1,2      X Bi  <= 1800 Bi, i=1,2      X ci  <= 3000 Ci, i=1,2      X Ai  + X Bi  + X Ci  >= 2900      X A2 + X B2  + X

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• Spring '09
• Trus
• Period, Yi, Names of large numbers, Noble gas, Min 15Xa1+32Xa2+21Xa3+9Xb1+7Xb2+6Xb3+11Xc1+18Xc2+5Xc3+500A+750B+600C s.t, startup problem Define

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HW6 Solutions - OSCM 230 Homework 06 HOMEWORK#6 SOLUTIONS...

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