# MINLP written by GAMS Convert at 02/12/18 09:53:10 # # Equation counts # Total E G L N X C B # 12 10 2 0 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 18 10 0 8 0 0 0 0 # FX 0 0 0 0 0 0 0 0 # # Nonzero counts # Total const NL DLL # 43 27 16 0 # # Reformulation has removed 1 variable and 1 equation var x1 >= 0; var x2 >= 0; var x3 >= 0; var x4 >= 0; var x5 >= 0; var x6 >= 0; var x7 >= 0; var x8 >= 0; var x9 >= 0; var i10 integer >= 0; var i11 integer >= 0; var i12 integer >= 0; var i13 integer >= 0; var i14 integer >= 0; var i15 integer >= 0; var i16 integer >= 0; var i17 integer >= 0; minimize obj: x9; subject to e2: 1.07813636363636*x1 - sqrt(0.0476190476190476*(-0.00313636363636371*x1 - 0.150909090909091*x2 - 0.267772727272727*x3 - 0.308636363636363*x4 - 0.423318181818182*x5 - 0.0687727272727274*x6 - 0.290227272727273*x7 + 0.548045454545455*x8)^2 + 0.0476190476190476*(0.0058636363636364*x1 - 0.0729090909090906*x2 - 0.384772727272727*x3 - 0.407636363636363*x4 - 0.459318181818182*x5 - 0.0897727272727273*x6 - 0.373227272727273*x7 + 0.593045454545455*x8)^2 + 0.0476190476190476*(-0.0171363636363637*x1 - 0.0369090909090906*x2 + 0.251227272727273*x3 + 0.261363636363637*x4 + 0.196681818181818*x5 + 0.0312272727272727*x6 + 0.212772727272727*x7 - 0.368954545454545*x8)^2 + 0.0476190476190476*(0.0820909090909094*x2 - 0.0261363636363636*x1 + 0.116227272727273*x3 + 0.142363636363637*x4 + 0.158681818181818*x5 + 0.0642272727272726*x6 - 0.116227272727273*x7 - 0.168954545454545*x8)^2 + 0.0476190476190476*(-0.0231363636363637*x1 - 0.0909090909090906*x2 - 0.193772727272727*x3 - 0.149636363636363*x4 - 0.0283181818181817*x5 - 0.0617727272727273*x6 + 0.0397727272727273*x7 + 0.0710454545454546*x8)^2 + 0.0476190476190476*(-0.00113636363636371*x1 - 0.110909090909091*x2 - 0.0557727272727273*x3 - 0.0306363636363634*x4 + 0.0246818181818182*x5 - 0.0797727272727273*x6 + 0.184772727272727*x7 + 0.166045454545455*x8)^2 + 0.0476190476190476*(0.0308636363636363*x1 - 0.114909090909091*x2 + 0.0642272727272726*x3 + 0.132363636363637*x4 + 0.185681818181818*x5 - 0.0687727272727274*x6 - 0.0932272727272727*x7 + 1.08304545454545*x8)^2 + 0.0476190476190476*(0.0488636363636363*x1 - 0.145909090909091*x2 + 0.203227272727273*x3 + 0.213363636363637*x4 + 0.245681818181818*x5 - 0.0607727272727274*x6 + 0.0847727272727272*x7 + 0.167045454545455*x8)^2 + 0.0476190476190476*(0.0778636363636362*x1 - 0.0899090909090907*x2 - 0.170772727272727*x3 - 0.160636363636363*x4 - 0.131318181818182*x5 - 0.0187727272727274*x6 - 0.164227272727273*x7 - 0.440954545454545*x8)^2 + 0.0476190476190476*(0.0388636363636363*x1 + 0.372090909090909*x2 + 0.0952272727272727*x3 + 0.0633636363636367*x4 + 0.0916818181818184*x5 + 0.219227272727273*x6 - 0.160227272727273*x7 - 0.0449545454545452*x8)^2 + 0.0476190476190476*(0.0138636363636364*x1 - 0.107909090909091*x2 + 0.104227272727273*x3 + 0.111363636363637*x4 + 0.0956818181818184*x5 - 0.0117727272727273*x6 + 0.0957727272727273*x7 - 0.256954545454545*x8)^2 + 0.0476190476190476*(0.0248636363636363*x1 + 0.0660909090909094*x2 - 0.0587727272727274*x3 - 0.0936363636363633*x4 - 0.218318181818182*x5 + 0.0582272727272726*x6 - 0.0672272727272727*x7 - 0.303954545454545*x8)^2 + 0.0476190476190476*(0.0018636363636364*x1 + 0.273090909090909*x2 + 0.196227272727273*x3 + 0.202363636363637*x4 + 0.211681818181818*x5 + 0.121227272727273*x6 + 0.420772727272727*x7 - 0.122954545454545*x8)^2 + 0.0476190476190476*(0.216090909090909*x2 - 0.0151363636363637*x1 + 0.0662272727272726*x3 + 0.0373636363636367*x4 - 0.0353181818181816*x5 + 0.0642272727272726*x6 + 0.552772727272727*x7 + 0.0870454545454546*x8)^2 + 0.0476190476190476*(-0.0171363636363637*x1 - 0.167909090909091*x2 - 0.0677727272727273*x3 - 0.100636363636363*x4 - 0.162318181818182*x5 - 0.0687727272727274*x6 + 0.104772727272727*x7 + 0.115045454545455*x8)^2 + 0.0476190476190476*(-0.00713636363636372*x1 - 0.00690909090909053*x2 + 0.0452272727272727*x3 + 0.0553636363636367*x4 + 0.0436818181818184*x5 - 0.0157727272727273*x6 + 0.141772727272727*x7 - 0.267954545454545*x8)^2 + 0.0476190476190476*(0.0088636363636363*x1 + 0.119090909090909*x2 + 0.196227272727273*x3 + 0.168363636363637*x4 + 0.0826818181818183*x5 + 0.0502272727272726*x6 - 0.0362272727272728*x7 - 0.151954545454545*x8)^2 + 0.0476190476190476*(0.0018636363636364*x1 - 0.0389090909090906*x2 - 0.151772727272727*x3 - 0.185636363636363*x4 - 0.291318181818182*x5 - 0.00877272727272738*x6 - 0.375227272727273*x7 - 0.206954545454545*x8)^2 + 0.0476190476190476*(0.100090909090909*x2 - 0.0211363636363637*x1 + 0.184227272727273*x3 + 0.218363636363637*x4 + 0.472681818181818*x5 + 0.0692272727272727*x6 - 0.0202272727272728*x7 - 0.170954545454545*x8)^2 + 0.0476190476190476*(-0.0421363636363636*x1 - 0.0139090909090906*x2 - 0.0437727272727273*x3 - 0.0336363636363632*x4 + 0.0526818181818183*x5 - 0.0157727272727273*x6 - 0.263227272727273*x7 - 0.202954545454545*x8)^2 + 0.0476190476190476*(0.124090909090909*x2 - 0.0471363636363638*x1 - 0.0197727272727273*x3 - 0.0106363636363633*x4 + 0.0406818181818183*x5 + 0.0182272727272728*x6 + 0.184772727272727*x7 + 0.0170454545454546*x8)^2 + 0.0476190476190476*(-0.0331363636363637*x1 - 0.203909090909091*x2 - 0.107772727272727*x3 - 0.124636363636363*x4 - 0.153318181818182*x5 - 0.126772727272727*x6 - 0.0632272727272727*x7 - 0.138954545454545*x8)^2) + 1.09290909090909*x2 + 1.11977272727273*x3 + 1.12363636363636*x4 + 1.12131818181818*x5 + 1.09177272727273*x6 + 1.14122727272727*x7 + 1.12895454545455*x8 >= 0.05; e3: -sqrt(0.0476190476190476*(-0.00313636363636371*x1 - 0.150909090909091*x2 - 0.267772727272727*x3 - 0.308636363636363*x4 - 0.423318181818182*x5 - 0.0687727272727274*x6 - 0.290227272727273*x7 + 0.548045454545455*x8)^2 + 0.0476190476190476*(0.0058636363636364*x1 - 0.0729090909090906*x2 - 0.384772727272727*x3 - 0.407636363636363*x4 - 0.459318181818182*x5 - 0.0897727272727273*x6 - 0.373227272727273*x7 + 0.593045454545455*x8)^2 + 0.0476190476190476*(-0.0171363636363637*x1 - 0.0369090909090906*x2 + 0.251227272727273*x3 + 0.261363636363637*x4 + 0.196681818181818*x5 + 0.0312272727272727*x6 + 0.212772727272727*x7 - 0.368954545454545*x8)^2 + 0.0476190476190476*(0.0820909090909094*x2 - 0.0261363636363636*x1 + 0.116227272727273*x3 + 0.142363636363637*x4 + 0.158681818181818*x5 + 0.0642272727272726*x6 - 0.116227272727273*x7 - 0.168954545454545*x8)^2 + 0.0476190476190476*(-0.0231363636363637*x1 - 0.0909090909090906*x2 - 0.193772727272727*x3 - 0.149636363636363*x4 - 0.0283181818181817*x5 - 0.0617727272727273*x6 + 0.0397727272727273*x7 + 0.0710454545454546*x8)^2 + 0.0476190476190476*(-0.00113636363636371*x1 - 0.110909090909091*x2 - 0.0557727272727273*x3 - 0.0306363636363634*x4 + 0.0246818181818182*x5 - 0.0797727272727273*x6 + 0.184772727272727*x7 + 0.166045454545455*x8)^2 + 0.0476190476190476*(0.0308636363636363*x1 - 0.114909090909091*x2 + 0.0642272727272726*x3 + 0.132363636363637*x4 + 0.185681818181818*x5 - 0.0687727272727274*x6 - 0.0932272727272727*x7 + 1.08304545454545*x8)^2 + 0.0476190476190476*(0.0488636363636363*x1 - 0.145909090909091*x2 + 0.203227272727273*x3 + 0.213363636363637*x4 + 0.245681818181818*x5 - 0.0607727272727274*x6 + 0.0847727272727272*x7 + 0.167045454545455*x8)^2 + 0.0476190476190476*(0.0778636363636362*x1 - 0.0899090909090907*x2 - 0.170772727272727*x3 - 0.160636363636363*x4 - 0.131318181818182*x5 - 0.0187727272727274*x6 - 0.164227272727273*x7 - 0.440954545454545*x8)^2 + 0.0476190476190476*(0.0388636363636363*x1 + 0.372090909090909*x2 + 0.0952272727272727*x3 + 0.0633636363636367*x4 + 0.0916818181818184*x5 + 0.219227272727273*x6 - 0.160227272727273*x7 - 0.0449545454545452*x8)^2 + 0.0476190476190476*(0.0138636363636364*x1 - 0.107909090909091*x2 + 0.104227272727273*x3 + 0.111363636363637*x4 + 0.0956818181818184*x5 - 0.0117727272727273*x6 + 0.0957727272727273*x7 - 0.256954545454545*x8)^2 + 0.0476190476190476*(0.0248636363636363*x1 + 0.0660909090909094*x2 - 0.0587727272727274*x3 - 0.0936363636363633*x4 - 0.218318181818182*x5 + 0.0582272727272726*x6 - 0.0672272727272727*x7 - 0.303954545454545*x8)^2 + 0.0476190476190476*(0.0018636363636364*x1 + 0.273090909090909*x2 + 0.196227272727273*x3 + 0.202363636363637*x4 + 0.211681818181818*x5 + 0.121227272727273*x6 + 0.420772727272727*x7 - 0.122954545454545*x8)^2 + 0.0476190476190476*(0.216090909090909*x2 - 0.0151363636363637*x1 + 0.0662272727272726*x3 + 0.0373636363636367*x4 - 0.0353181818181816*x5 + 0.0642272727272726*x6 + 0.552772727272727*x7 + 0.0870454545454546*x8)^2 + 0.0476190476190476*(-0.0171363636363637*x1 - 0.167909090909091*x2 - 0.0677727272727273*x3 - 0.100636363636363*x4 - 0.162318181818182*x5 - 0.0687727272727274*x6 + 0.104772727272727*x7 + 0.115045454545455*x8)^2 + 0.0476190476190476*(-0.00713636363636372*x1 - 0.00690909090909053*x2 + 0.0452272727272727*x3 + 0.0553636363636367*x4 + 0.0436818181818184*x5 - 0.0157727272727273*x6 + 0.141772727272727*x7 - 0.267954545454545*x8)^2 + 0.0476190476190476*(0.0088636363636363*x1 + 0.119090909090909*x2 + 0.196227272727273*x3 + 0.168363636363637*x4 + 0.0826818181818183*x5 + 0.0502272727272726*x6 - 0.0362272727272728*x7 - 0.151954545454545*x8)^2 + 0.0476190476190476*(0.0018636363636364*x1 - 0.0389090909090906*x2 - 0.151772727272727*x3 - 0.185636363636363*x4 - 0.291318181818182*x5 - 0.00877272727272738*x6 - 0.375227272727273*x7 - 0.206954545454545*x8)^2 + 0.0476190476190476*(0.100090909090909*x2 - 0.0211363636363637*x1 + 0.184227272727273*x3 + 0.218363636363637*x4 + 0.472681818181818*x5 + 0.0692272727272727*x6 - 0.0202272727272728*x7 - 0.170954545454545*x8)^2 + 0.0476190476190476*(-0.0421363636363636*x1 - 0.0139090909090906*x2 - 0.0437727272727273*x3 - 0.0336363636363632*x4 + 0.0526818181818183*x5 - 0.0157727272727273*x6 - 0.263227272727273*x7 - 0.202954545454545*x8)^2 + 0.0476190476190476*(0.124090909090909*x2 - 0.0471363636363638*x1 - 0.0197727272727273*x3 - 0.0106363636363633*x4 + 0.0406818181818183*x5 + 0.0182272727272728*x6 + 0.184772727272727*x7 + 0.0170454545454546*x8)^2 + 0.0476190476190476*(-0.0331363636363637*x1 - 0.203909090909091*x2 - 0.107772727272727*x3 - 0.124636363636363*x4 - 0.153318181818182*x5 - 0.126772727272727*x6 - 0.0632272727272727*x7 - 0.138954545454545*x8)^2) + x9 >= 0; e4: x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 = 1; e5: - 100000*x1 + i10 = 0; e6: - 32000*x2 + i11 = 0; e7: - 78000*x3 + i12 = 0; e8: - 56000*x4 + i13 = 0; e9: - 43000*x5 + i14 = 0; e10: - 100000*x6 + i15 = 0; e11: - 55000*x7 + i16 = 0; e12: - 78000*x8 + i17 = 0;