/* Please email questions, comments, and significant results to: Robert.C.Green@gmail.com. Thanks! (c) 2009-2010 Zhu Wang, Robert Green ALL RIGHTS RESERVED WORLDWIDE THIS PROGRAM IS FREEWARE. IT MAY BE COPIED AND DISTRIBUTED WITHOUT LIMITATION AS LONG AS THIS COPYRIGHT NOTICE AND REFERENCE INFORMATION BELOW ARE INCLUDED WITHOUT MODIFICATION, AND AS LONG AS NO FEE OR COMPENSATION IS CHARGED, INCLUDING "TIE-IN" OR "BUNDLING" FEES CHARGED FOR OTHER PRODUCTS. This code implements the IEEE-RTS96 model DC Optimal Power FLow using LP_Solve References concerning this code include: 1 - R. Green, L. Wang, Z. Wang, M. Alam, and C. Singh, “Power System Reliability Assessment Using Intelligent State Space Pruning Techniques: A Comparative Study” Submitted to 2010 Conference on Power System Technology, Hangzou China, October 2010. 2 - R. Green, L. Wang, M. Alam, and C. Singh, “State space pruning for Reliability Evaluation using Binary Particle Swarm Optimization,” Submitted to Hawaii International Conference on System Sciences,University of Hawaii at Manoa, January 2011. 3 - R. Green, L. Wang, and C. Singh, “State space pruning for power system reliability evaluation using genetic algorithms,” IEEE Power & Energy Society General Meeting 2010, Minneapolis, MN, July 2010. 4 - R. Green, Z. Wang, L. Wang, M. Alam, and C. Singh, “Evaluation of loss of load probability for power systems using intelligent search based state space pruning,” The 11th International Conference on Probabilistic Methods Applied to Power Systems, Singapore, June 2010*/ /* Objective function */ min: +C1 +C2 +C3 +C4 +C5 +C6 +C7 +C8 +C9 +C10 +C11 +C12 +C13 +C14 +C15 +C16 +C17 +C18 +C19 +C20 +C21 +C22 +C23 +C24 +C25 +C26 +C27 +C28 +C29 +C30 +C31 +C32 +C33 +C34 +C35 +C36 +C37 +C38 +C39 +C40 +C41 +C42 +C43 +C44 +C45 +C46 +C47 +C48 +C49 +C50 +C51 +C52 +C53 +C54 +C55 +C56 +C57 +C58 +C59 +C60 +C61 +C62 +C63 +C64 +C65 +C66 +C67 +C68 +C69 +C70 +C71 +C72 +C73; +88.5116T1 -71.9424T2 -4.7348T3 -11.8343T5-1G1 -C1 =-1.0800; -71.9424T1 +85.0434T2 -7.8927T4 -5.2083T6-1G2 -C2 =-0.9700; -4.7348T1 +24.8810T3 -8.4034T9 -11.7428T24-1G3 -C3 =-1.8000; -7.8927T2 +17.5359T4 -9.6432T9-1G4 -C4 =-0.7400; -11.8343T1 +23.1593T5 -11.3250T10-1G5 -C5 =-0.7100; -5.2083T2 +21.7373T6 -16.5289T10-1G6 -C6 =-1.3600; +22.4978T7 -16.2866T8 -6.2112T27-1G7 -C7 =-1.2500; -16.2866T7 +28.4005T8 -6.0569T9 -6.0569T10-1G8 -C8 =-1.7100; -8.4034T3 -9.6432T4 -6.0569T8 +47.2471T9 -11.5718T11 -11.5718T12-1G9 -C9 =-1.7500; -11.3250T5 -16.5289T6 -6.0569T8 +57.3965T10 -11.7428T11 -11.7428T12-1G10 -C10 =-1.9500; -11.5718T9 -11.7428T10 +68.2465T11 -21.0084T13 -23.9234T14-1G11 -C11 =-0.0000; -11.5718T9 -11.7428T10 +54.6750T12 -21.0084T13 -10.3520T23-1G12 -C12 =-0.0000; -21.0084T11 -21.0084T12 +66.9108T13 -11.5607T23 -13.3333T39-1G13 -C13 =-2.6500; -23.9234T11 +49.6304T14 -25.7069T16-1G14 -C14 =-1.9400; +117.8876T15 -57.8035T16 -40.8163T21 -19.2678T24-1G15 -C15 =-3.1700; -25.7069T14 -57.8035T15 +165.4105T16 -38.6100T17 -43.2900T19-1G16 -C16 =-1.0000; -38.6100T16 +117.5512T17 -69.4444T18 -9.4967T22-1G17 -C17 =-0.0000; -69.4444T17 +146.6645T18 -77.2201T21-1G18 -C18 =-3.3300; -43.2900T16 +93.7951T19 -50.5051T20-1G19 -C19 =-1.8100; -50.5051T19 +143.0976T20 -92.5926T23-1G20 -C20 =-1.2800; -40.8163T15 -77.2201T18 +143.0949T21 -14.7493T22 -10.3093T73-1G21 -C21 =0.0000; -9.4967T17 -14.7493T21 +24.2459T22-1G22 -C22 =0.0000; -10.3520T12 -11.5607T13 -92.5926T20 +128.0188T23 -13.5135T41-1G23 -C23 =0.0000; -11.7428T3 -19.2678T15 +31.0106T24-1G24 -C24 =0.0000; +88.5116T25 -71.9424T26 -4.7348T27 -11.8343T29-1G25 -C25 =-1.0800; -71.9424T25 +85.0434T26 -7.8927T28 -5.2083T30-1G26 -C26 =-0.9700; -6.2112T7 -4.7348T25 +31.0922T27 -8.4034T33 -11.7428T48-1G27 -C27 =-1.8000; -7.8927T26 +17.5359T28 -9.6432T33-1G28 -C28 =-0.7400; -11.8343T25 +23.1593T29 -11.3250T34-1G29 -C29 =-0.7100; -5.2083T26 +21.7373T30 -16.5289T34-1G30 -C30 =-1.3600; +16.2866T31 -16.2866T32-1G31 -C31 =-1.2500; -16.2866T31 +28.4005T32 -6.0569T33 -6.0569T34-1G32 -C32 =-1.7100; -8.4034T27 -9.6432T28 -6.0569T32 +47.2471T33 -11.5718T35 -11.5718T36-1G33 -C33 =-1.7500; -11.3250T29 -16.5289T30 -6.0569T32 +57.3965T34 -11.7428T35 -11.7428T36-1G34 -C34 =-1.9500; -11.5718T33 -11.7428T34 +68.2465T35 -21.0084T37 -23.9234T38-1G35 -C35 =0.0000; -11.5718T33 -11.7428T34 +54.6750T36 -21.0084T37 -10.3520T47-1G36 -C36 =0.0000; -21.0084T35 -21.0084T36 +53.5775T37 -11.5607T47-1G37 -C37 =-2.6500; -23.9234T35 +49.6304T38 -25.7069T40-1G38 -C38 =-1.9400; -13.3333T13 +131.2210T39 -57.8035T40 -40.8163T45 -19.2678T48-1G39 -C39 =-3.1700; -25.7069T38 -57.8035T39 +165.4105T40 -38.6100T41 -43.2900T43-1G40 -C40 =-1.0000; -13.5135T23 -38.6100T40 +131.0647T41 -69.4444T42 -9.4967T46-1G41 -C41 =0.0000; -69.4444T41 +146.6645T42 -77.2201T45-1G42 -C42 =-3.3300; -43.2900T40 +93.7951T43 -50.5051T44-1G43 -C43 =-1.8100; -50.5051T43 +143.0976T44 -92.5926T47-1G44 -C44 =-1.2800; -40.8163T39 -77.2201T42 +132.7857T45 -14.7493T46-1G45 -C45 =0.0000; -9.4967T41 -14.7493T45 +24.2459T46-1G46 -C46 =0.0000; -10.3520T36 -11.5607T37 -92.5926T44 +124.1206T47 -9.6154T66-1G47 -C47 =0.0000; -11.7428T27 -19.2678T39 +31.0106T48-1G48 -C48 =0.0000; +88.5116T49 -71.9424T50 -4.7348T51 -11.8343T53-1G49 -C49 =-1.0800; -71.9424T49 +85.0434T50 -7.8927T52 -5.2083T54-1G50 -C50 =-0.9700; -4.7348T49 +24.8810T51 -8.4034T57 -11.7428T72-1G51 -C51 =-1.8000; -7.8927T50 +17.5359T52 -9.6432T57-1G52 -C52 =-0.7400; -11.8343T49 +23.1593T53 -11.3250T58-1G53 -C53 =-0.7100; -5.2083T50 +21.7373T54 -16.5289T58-1G54 -C54 =-1.3600; +16.2866T55 -16.2866T56-1G55 -C55 =-1.2500; -16.2866T55 +28.4005T56 -6.0569T57 -6.0569T58-1G56 -C56 =-1.7100; -8.4034T51 -9.6432T52 -6.0569T56 +47.2471T57 -11.5718T59 -11.5718T60-1G57 -C57 =-1.7500; -11.3250T53 -16.5289T54 -6.0569T56 +57.3965T58 -11.7428T59 -11.7428T60-1G58 -C58 =-1.9500; -11.5718T57 -11.7428T58 +68.2465T59 -21.0084T61 -23.9234T62-1G59 -C59 =0.0000; -11.5718T57 -11.7428T58 +54.6750T60 -21.0084T61 -10.3520T71-1G60 -C60 =0.0000; -21.0084T59 -21.0084T60 +53.5775T61 -11.5607T71-1G61 -C61 =-2.6500; -23.9234T59 +49.6304T62 -25.7069T64-1G62 -C62 =-1.9400; +117.8876T63 -57.8035T64 -40.8163T69 -19.2678T72-1G63 -C63 =-3.1700; -25.7069T62 -57.8035T63 +165.4105T64 -38.6100T65 -43.2900T67-1G64 -C64 =-1.0000; -38.6100T64 +117.5512T65 -69.4444T66 -9.4967T70-1G65 -C65 =0.0000; -9.6154T47 -69.4444T65 +156.2799T66 -77.2201T69-1G66 -C66 =-3.3300; -43.2900T64 +93.7951T67 -50.5051T68-1G67 -C67 =-1.8100; -50.5051T67 +143.0976T68 -92.5926T71-1G68 -C68 =-1.2800; -40.8163T63 -77.2201T66 +132.7857T69 -14.7493T70-1G69 -C69 =0.0000; -9.4967T65 -14.7493T69 +24.2459T70-1G70 -C70 =0.0000; -10.3520T60 -11.5607T61 -92.5926T68 +225.6164T71 -111.1111T73-1G71 -C71 =0.0000; -11.7428T51 -19.2678T63 +31.0106T72-1G72 -C72 =0.0000; -10.3093T21 -111.1111T71 +121.4204T73-1G73 -C73 =0.0000; /* bATheta <= FMax */ +71.9424T1 -71.9424T2 <= 1.9300; +4.7348T1 -4.7348T3 <= 2.0800; +11.8343T1 -11.8343T5 <= 2.0800; +7.8927T2 -7.8927T4 <= 2.0800; +5.2083T2 -5.2083T6 <= 2.0800; +8.4034T3 -8.4034T9 <= 2.0800; +11.7428T3 -11.7428T24 <= 5.1000; +9.6432T4 -9.6432T9 <= 2.0800; +11.3250T5 -11.3250T10 <= 2.0800; +16.5289T6 -16.5289T10 <= 1.9300; +16.2866T7 -16.2866T8 <= 2.0800; +6.2112T7 -6.2112T27 <= 2.0800; +6.0569T8 -6.0569T9 <= 2.0800; +6.0569T8 -6.0569T10 <= 2.0800; +11.5718T9 -11.5718T11 <= 5.1000; +11.5718T9 -11.5718T12 <= 5.1000; +11.7428T10 -11.7428T11 <= 5.1000; +11.7428T10 -11.7428T12 <= 5.1000; +21.0084T11 -21.0084T13 <= 6.0000; +23.9234T11 -23.9234T14 <= 6.0000; +21.0084T12 -21.0084T13 <= 6.0000; +10.3520T12 -10.3520T23 <= 6.0000; +11.5607T13 -11.5607T23 <= 6.0000; +13.3333T13 -13.3333T39 <= 6.0000; +25.7069T14 -25.7069T16 <= 6.0000; +57.8035T15 -57.8035T16 <= 6.0000; +20.4082T15 -20.4082T21 <= 6.0000; +20.4082T15 -20.4082T21 <= 6.0000; +19.2678T15 -19.2678T24 <= 6.0000; +38.6100T16 -38.6100T17 <= 6.0000; +43.2900T16 -43.2900T19 <= 6.0000; +69.4444T17 -69.4444T18 <= 6.0000; +9.4967T17 -9.4967T22 <= 6.0000; +38.6100T18 -38.6100T21 <= 6.0000; +38.6100T18 -38.6100T21 <= 6.0000; +25.2525T19 -25.2525T20 <= 6.0000; +25.2525T19 -25.2525T20 <= 6.0000; +46.2963T20 -46.2963T23 <= 6.0000; +46.2963T20 -46.2963T23 <= 6.0000; +14.7493T21 -14.7493T22 <= 6.0000; +13.5135T23 -13.5135T41 <= 6.0000; +71.9424T25 -71.9424T26 <= 2.0800; +4.7348T25 -4.7348T27 <= 2.0800; +11.8343T25 -11.8343T29 <= 2.0800; +7.8927T26 -7.8927T28 <= 2.0800; +5.2083T26 -5.2083T30 <= 2.0800; +8.4034T27 -8.4034T33 <= 2.0800; +11.7428T27 -11.7428T48 <= 5.1000; +9.6432T28 -9.6432T33 <= 2.0800; +11.3250T29 -11.3250T34 <= 2.0800; +16.5289T30 -16.5289T34 <= 1.9300; +16.2866T31 -16.2866T32 <= 2.0800; +6.0569T32 -6.0569T33 <= 2.0800; +6.0569T32 -6.0569T34 <= 2.0800; +11.5718T33 -11.5718T35 <= 5.1000; +11.5718T33 -11.5718T36 <= 5.1000; +11.7428T34 -11.7428T35 <= 5.1000; +11.7428T34 -11.7428T36 <= 5.1000; +21.0084T35 -21.0084T37 <= 6.0000; +23.9234T35 -23.9234T38 <= 6.0000; +21.0084T36 -21.0084T37 <= 6.0000; +10.3520T36 -10.3520T47 <= 6.0000; +11.5607T37 -11.5607T47 <= 6.0000; +25.7069T38 -25.7069T40 <= 6.0000; +57.8035T39 -57.8035T40 <= 6.0000; +20.4082T39 -20.4082T45 <= 6.0000; +20.4082T39 -20.4082T45 <= 6.0000; +19.2678T39 -19.2678T48 <= 6.0000; +38.6100T40 -38.6100T41 <= 6.0000; +43.2900T40 -43.2900T43 <= 6.0000; +69.4444T41 -69.4444T42 <= 6.0000; +9.4967T41 -9.4967T46 <= 6.0000; +38.6100T42 -38.6100T45 <= 6.0000; +38.6100T42 -38.6100T45 <= 6.0000; +25.2525T43 -25.2525T44 <= 6.0000; +25.2525T43 -25.2525T44 <= 6.0000; +46.2963T44 -46.2963T47 <= 6.0000; +46.2963T44 -46.2963T47 <= 6.0000; +14.7493T45 -14.7493T46 <= 6.0000; +71.9424T49 -71.9424T50 <= 1.9300; +4.7348T49 -4.7348T51 <= 2.0800; +11.8343T49 -11.8343T53 <= 2.0800; +7.8927T50 -7.8927T52 <= 2.0800; +5.2083T50 -5.2083T54 <= 2.0800; +8.4034T51 -8.4034T57 <= 2.0800; +11.7428T51 -11.7428T72 <= 5.1000; +9.6432T52 -9.6432T57 <= 2.0800; +11.3250T53 -11.3250T58 <= 2.0800; +16.5289T54 -16.5289T58 <= 1.9300; +16.2866T55 -16.2866T56 <= 2.0800; +6.0569T56 -6.0569T57 <= 2.0800; +6.0569T56 -6.0569T58 <= 2.0800; +11.5718T57 -11.5718T59 <= 5.1000; +11.5718T57 -11.5718T60 <= 5.1000; +11.7428T58 -11.7428T59 <= 5.1000; +11.7428T58 -11.7428T60 <= 5.1000; +21.0084T59 -21.0084T61 <= 6.0000; +23.9234T59 -23.9234T62 <= 6.0000; +21.0084T60 -21.0084T61 <= 6.0000; +10.3520T60 -10.3520T71 <= 6.0000; +11.5607T61 -11.5607T71 <= 6.0000; +25.7069T62 -25.7069T64 <= 6.0000; +57.8035T63 -57.8035T64 <= 6.0000; +20.4082T63 -20.4082T69 <= 6.0000; +20.4082T63 -20.4082T69 <= 6.0000; +19.2678T63 -19.2678T72 <= 6.0000; +38.6100T64 -38.6100T65 <= 6.0000; +43.2900T64 -43.2900T67 <= 6.0000; +69.4444T65 -69.4444T66 <= 6.0000; +9.4967T65 -9.4967T70 <= 6.0000; +38.6100T66 -38.6100T69 <= 6.0000; +38.6100T66 -38.6100T69 <= 6.0000; +25.2525T67 -25.2525T68 <= 6.0000; +25.2525T67 -25.2525T68 <= 6.0000; +46.2963T68 -46.2963T71 <= 6.0000; +46.2963T68 -46.2963T71 <= 6.0000; +14.7493T69 -14.7493T70 <= 6.0000; -10.3093T21 +10.3093T73 <= 6.0000; -9.6154T47 +9.6154T66 <= 6.0000; +111.1111T71 -111.1111T73 <= 8.9300; -71.9424T1 +71.9424T2 <= 1.9300; -4.7348T1 +4.7348T3 <= 2.0800; -11.8343T1 +11.8343T5 <= 2.0800; -7.8927T2 +7.8927T4 <= 2.0800; -5.2083T2 +5.2083T6 <= 2.0800; -8.4034T3 +8.4034T9 <= 2.0800; -11.7428T3 +11.7428T24 <= 5.1000; -9.6432T4 +9.6432T9 <= 2.0800; -11.3250T5 +11.3250T10 <= 2.0800; -16.5289T6 +16.5289T10 <= 1.9300; -16.2866T7 +16.2866T8 <= 2.0800; -6.2112T7 +6.2112T27 <= 2.0800; -6.0569T8 +6.0569T9 <= 2.0800; -6.0569T8 +6.0569T10 <= 2.0800; -11.5718T9 +11.5718T11 <= 5.1000; -11.5718T9 +11.5718T12 <= 5.1000; -11.7428T10 +11.7428T11 <= 5.1000; -11.7428T10 +11.7428T12 <= 5.1000; -21.0084T11 +21.0084T13 <= 6.0000; -23.9234T11 +23.9234T14 <= 6.0000; -21.0084T12 +21.0084T13 <= 6.0000; -10.3520T12 +10.3520T23 <= 6.0000; -11.5607T13 +11.5607T23 <= 6.0000; -13.3333T13 +13.3333T39 <= 6.0000; -25.7069T14 +25.7069T16 <= 6.0000; -57.8035T15 +57.8035T16 <= 6.0000; -20.4082T15 +20.4082T21 <= 6.0000; -20.4082T15 +20.4082T21 <= 6.0000; -19.2678T15 +19.2678T24 <= 6.0000; -38.6100T16 +38.6100T17 <= 6.0000; -43.2900T16 +43.2900T19 <= 6.0000; -69.4444T17 +69.4444T18 <= 6.0000; -9.4967T17 +9.4967T22 <= 6.0000; -38.6100T18 +38.6100T21 <= 6.0000; -38.6100T18 +38.6100T21 <= 6.0000; -25.2525T19 +25.2525T20 <= 6.0000; -25.2525T19 +25.2525T20 <= 6.0000; -46.2963T20 +46.2963T23 <= 6.0000; -46.2963T20 +46.2963T23 <= 6.0000; -14.7493T21 +14.7493T22 <= 6.0000; -13.5135T23 +13.5135T41 <= 6.0000; -71.9424T25 +71.9424T26 <= 2.0800; -4.7348T25 +4.7348T27 <= 2.0800; -11.8343T25 +11.8343T29 <= 2.0800; -7.8927T26 +7.8927T28 <= 2.0800; -5.2083T26 +5.2083T30 <= 2.0800; -8.4034T27 +8.4034T33 <= 2.0800; -11.7428T27 +11.7428T48 <= 5.1000; -9.6432T28 +9.6432T33 <= 2.0800; -11.3250T29 +11.3250T34 <= 2.0800; -16.5289T30 +16.5289T34 <= 1.9300; -16.2866T31 +16.2866T32 <= 2.0800; -6.0569T32 +6.0569T33 <= 2.0800; -6.0569T32 +6.0569T34 <= 2.0800; -11.5718T33 +11.5718T35 <= 5.1000; -11.5718T33 +11.5718T36 <= 5.1000; -11.7428T34 +11.7428T35 <= 5.1000; -11.7428T34 +11.7428T36 <= 5.1000; -21.0084T35 +21.0084T37 <= 6.0000; -23.9234T35 +23.9234T38 <= 6.0000; -21.0084T36 +21.0084T37 <= 6.0000; -10.3520T36 +10.3520T47 <= 6.0000; -11.5607T37 +11.5607T47 <= 6.0000; -25.7069T38 +25.7069T40 <= 6.0000; -57.8035T39 +57.8035T40 <= 6.0000; -20.4082T39 +20.4082T45 <= 6.0000; -20.4082T39 +20.4082T45 <= 6.0000; -19.2678T39 +19.2678T48 <= 6.0000; -38.6100T40 +38.6100T41 <= 6.0000; -43.2900T40 +43.2900T43 <= 6.0000; -69.4444T41 +69.4444T42 <= 6.0000; -9.4967T41 +9.4967T46 <= 6.0000; -38.6100T42 +38.6100T45 <= 6.0000; -38.6100T42 +38.6100T45 <= 6.0000; -25.2525T43 +25.2525T44 <= 6.0000; -25.2525T43 +25.2525T44 <= 6.0000; -46.2963T44 +46.2963T47 <= 6.0000; -46.2963T44 +46.2963T47 <= 6.0000; -14.7493T45 +14.7493T46 <= 6.0000; -71.9424T49 +71.9424T50 <= 1.9300; -4.7348T49 +4.7348T51 <= 2.0800; -11.8343T49 +11.8343T53 <= 2.0800; -7.8927T50 +7.8927T52 <= 2.0800; -5.2083T50 +5.2083T54 <= 2.0800; -8.4034T51 +8.4034T57 <= 2.0800; -11.7428T51 +11.7428T72 <= 5.1000; -9.6432T52 +9.6432T57 <= 2.0800; -11.3250T53 +11.3250T58 <= 2.0800; -16.5289T54 +16.5289T58 <= 1.9300; -16.2866T55 +16.2866T56 <= 2.0800; -6.0569T56 +6.0569T57 <= 2.0800; -6.0569T56 +6.0569T58 <= 2.0800; -11.5718T57 +11.5718T59 <= 5.1000; -11.5718T57 +11.5718T60 <= 5.1000; -11.7428T58 +11.7428T59 <= 5.1000; -11.7428T58 +11.7428T60 <= 5.1000; -21.0084T59 +21.0084T61 <= 6.0000; -23.9234T59 +23.9234T62 <= 6.0000; -21.0084T60 +21.0084T61 <= 6.0000; -10.3520T60 +10.3520T71 <= 6.0000; -11.5607T61 +11.5607T71 <= 6.0000; -25.7069T62 +25.7069T64 <= 6.0000; -57.8035T63 +57.8035T64 <= 6.0000; -20.4082T63 +20.4082T69 <= 6.0000; -20.4082T63 +20.4082T69 <= 6.0000; -19.2678T63 +19.2678T72 <= 6.0000; -38.6100T64 +38.6100T65 <= 6.0000; -43.2900T64 +43.2900T67 <= 6.0000; -69.4444T65 +69.4444T66 <= 6.0000; -9.4967T65 +9.4967T70 <= 6.0000; -38.6100T66 +38.6100T69 <= 6.0000; -38.6100T66 +38.6100T69 <= 6.0000; -25.2525T67 +25.2525T68 <= 6.0000; -25.2525T67 +25.2525T68 <= 6.0000; -46.2963T68 +46.2963T71 <= 6.0000; -46.2963T68 +46.2963T71 <= 6.0000; -14.7493T69 +14.7493T70 <= 6.0000; +10.3093T21 -10.3093T73 <= 6.0000; +9.6154T47 -9.6154T66 <= 6.0000; -111.1111T71 +111.1111T73 <= 8.9300; /* G <= GMax */ +1G1 <= 1.92; +1G2 <= 1.92; +1G3 <= 0.00; +1G4 <= 0.00; +1G5 <= 0.00; +1G6 <= 0.00; +1G7 <= 3.00; +1G8 <= 0.00; +1G9 <= 0.00; +1G10 <= 0.00; +1G11 <= 0.00; +1G12 <= 0.00; +1G13 <= 5.91; +1G14 <= 0.00; +1G15 <= 2.15; +1G16 <= 1.55; +1G17 <= 0.00; +1G18 <= 4.00; +1G19 <= 0.00; +1G20 <= 0.00; +1G21 <= 4.00; +1G22 <= 3.00; +1G23 <= 6.60; +1G24 <= 0.00; +1G25 <= 1.92; +1G26 <= 1.92; +1G27 <= 0.00; +1G28 <= 0.00; +1G29 <= 0.00; +1G30 <= 0.00; +1G31 <= 3.00; +1G32 <= 0.00; +1G33 <= 0.00; +1G34 <= 0.00; +1G35 <= 0.00; +1G36 <= 0.00; +1G37 <= 5.91; +1G38 <= 0.00; +1G39 <= 2.15; +1G40 <= 1.55; +1G41 <= 0.00; +1G42 <= 4.00; +1G43 <= 0.00; +1G44 <= 0.00; +1G45 <= 4.00; +1G46 <= 3.00; +1G47 <= 6.60; +1G48 <= 0.00; +1G49 <= 1.92; +1G50 <= 1.92; +1G51 <= 0.00; +1G52 <= 0.00; +1G53 <= 0.00; +1G54 <= 0.00; +1G55 <= 3.00; +1G56 <= 0.00; +1G57 <= 0.00; +1G58 <= 0.00; +1G59 <= 0.00; +1G60 <= 0.00; +1G61 <= 5.91; +1G62 <= 0.00; +1G63 <= 2.15; +1G64 <= 1.55; +1G65 <= 0.00; +1G66 <= 4.00; +1G67 <= 0.00; +1G68 <= 0.00; +1G69 <= 4.00; +1G70 <= 3.00; +1G71 <= 6.60; +1G72 <= 0.00; +1G73 <= 0.00; /* Variable bounds */ G1 >= 0; G2 >= 0; G3 >= 0; G4 >= 0; G5 >= 0; G6 >= 0; G7 >= 0; G8 >= 0; G9 >= 0; G10 >= 0; G11 >= 0; G12 >= 0; G13 >= 0; G14 >= 0; G15 >= 0; G16 >= 0; G17 >= 0; G18 >= 0; G19 >= 0; G20 >= 0; G21 >= 0; G22 >= 0; G23 >= 0; G24 >= 0; G25 >= 0; G26 >= 0; G27 >= 0; G28 >= 0; G29 >= 0; G30 >= 0; G31 >= 0; G32 >= 0; G33 >= 0; G34 >= 0; G35 >= 0; G36 >= 0; G37 >= 0; G38 >= 0; G39 >= 0; G40 >= 0; G41 >= 0; G42 >= 0; G43 >= 0; G44 >= 0; G45 >= 0; G46 >= 0; G47 >= 0; G48 >= 0; G49 >= 0; G50 >= 0; G51 >= 0; G52 >= 0; G53 >= 0; G54 >= 0; G55 >= 0; G56 >= 0; G57 >= 0; G58 >= 0; G59 >= 0; G60 >= 0; G61 >= 0; G62 >= 0; G63 >= 0; G64 >= 0; G65 >= 0; G66 >= 0; G67 >= 0; G68 >= 0; G69 >= 0; G70 >= 0; G71 >= 0; G72 >= 0; G73 >= 0; C1 >= 0; C2 >= 0; C3 >= 0; C4 >= 0; C5 >= 0; C6 >= 0; C7 >= 0; C8 >= 0; C9 >= 0; C10 >= 0; C11 >= 0; C12 >= 0; C13 >= 0; C14 >= 0; C15 >= 0; C16 >= 0; C17 >= 0; C18 >= 0; C19 >= 0; C20 >= 0; C21 >= 0; C22 >= 0; C23 >= 0; C24 >= 0; C25 >= 0; C26 >= 0; C27 >= 0; C28 >= 0; C29 >= 0; C30 >= 0; C31 >= 0; C32 >= 0; C33 >= 0; C34 >= 0; C35 >= 0; C36 >= 0; C37 >= 0; C38 >= 0; C39 >= 0; C40 >= 0; C41 >= 0; C42 >= 0; C43 >= 0; C44 >= 0; C45 >= 0; C46 >= 0; C47 >= 0; C48 >= 0; C49 >= 0; C50 >= 0; C51 >= 0; C52 >= 0; C53 >= 0; C54 >= 0; C55 >= 0; C56 >= 0; C57 >= 0; C58 >= 0; C59 >= 0; C60 >= 0; C61 >= 0; C62 >= 0; C63 >= 0; C64 >= 0; C65 >= 0; C66 >= 0; C67 >= 0; C68 >= 0; C69 >= 0; C70 >= 0; C71 >= 0; C72 >= 0; C73 >= 0;