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Instance sssd18-08persp

Stochastic Service System Design. Servers are modeled as M/M/1 queues, and a set of customers must be assigned to the servers which can be operated at different service levels. The objective is to minimize assignment and operating costs.
Perspective reformulation of sssd18-08.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
838462.01030000 p1 ( gdx sol )
(infeas: 0)
834228.06470000 p2 ( gdx sol )
(infeas: 4e-16)
832848.03820000 p3 ( gdx sol )
(infeas: 4e-16)
832795.58520000 p4 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
447699.51030000 (ANTIGONE)
407943.59160000 (BARON)
417510.06720000 (COUENNE)
832795.31940000 (GUROBI)
413431.75860000 (LINDO)
651057.68410000 (SCIP)
3759.66154200 (SHOT)
References Elhedhli, Samir, Service System Design with Immobile Servers, Stochastic Demand, and Congestion, Manufacturing & Service Operations Management, 8:1, 2006, 92-97.
Günlük, Oktay and Linderoth, Jeff T, Perspective reformulations of mixed integer nonlinear programs with indicator variables, Mathematical Programming, 124:1-2, 2010, 183-205.
Günlük, Oktay and Linderoth, Jeff T, Perspective Reformulation and Applications. In Lee, Jon and Leyffer, Sven, Eds, Mixed Integer Nonlinear Programming, Springer, 2012, 61-89.
Application Service System Design
Added to library 24 Feb 2014
Problem type MBQCP
#Variables 200
#Binary Variables 168
#Integer Variables 0
#Nonlinear Variables 56
#Nonlinear Binary Variables 24
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 176
#Nonlinear Nonzeros in Objective 0
#Constraints 82
#Linear Constraints 58
#Quadratic Constraints 24
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 456
#Nonlinear Nonzeros in Jacobian 72
#Nonzeros in (Upper-Left) Hessian of Lagrangian 144
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 8
Minimal blocksize in Hessian of Lagrangian 7
Maximal blocksize in Hessian of Lagrangian 7
Average blocksize in Hessian of Lagrangian 7.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.0739e-01
Maximal coefficient 1.0126e+05
Infeasibility of initial point 0.3333
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         83       27        0       56        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        201       33      168        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        633      561       72        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,objvar;

Positive Variables  x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
          ,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
          ,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
          ,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
          ,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153
          ,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166
          ,b167,b168;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83;


e1..  - 552.281145549261*b1 - 426.236209278853*b2 - 411.027424117795*b3
      - 466.68869062928*b4 - 288.317250921223*b5 - 590.182468227663*b6
      - 381.017859269849*b7 - 572.544284039417*b8 - 433.107424736324*b9
      - 429.289469802582*b10 - 722.101048978265*b11 - 30.0952649131444*b12
      - 408.663734727663*b13 - 327.144961122973*b14 - 408.872583504261*b15
      - 371.229606779419*b16 - 743.231830330272*b17 - 424.123388295749*b18
      - 1012.59483684509*b19 - 325.068016443889*b20 - 489.829200609382*b21
      - 616.392367634356*b22 - 717.376121177217*b23 - 671.497074168691*b24
      - 333.243033401626*b25 - 469.212452608196*b26 - 55.3101521264496*b27
      - 439.078549562248*b28 - 397.954628500691*b29 - 404.754476708584*b30
      - 260.583114103962*b31 - 374.661728741154*b32 - 705.865114334154*b33
      - 409.260796409624*b34 - 941.121512213036*b35 - 352.661317024937*b36
      - 478.410844041197*b37 - 592.864375784787*b38 - 688.804587834202*b39
      - 642.137051102147*b40 - 675.37494220409*b41 - 537.327976828555*b42
      - 326.270384675669*b43 - 667.587791945904*b44 - 430.879246065957*b45
      - 741.317344127774*b46 - 525.377882163679*b47 - 713.734501618144*b48
      - 449.47820772841*b49 - 590.656036300788*b50 - 825.357606588055*b51
      - 234.546168311308*b52 - 591.462084387522*b53 - 311.109367719916*b54
      - 500.934150264854*b55 - 370.791485521561*b56 - 344.058371833736*b57
      - 204.379731785556*b58 - 212.615335031657*b59 - 304.078143674645*b60
      - 160.084737093308*b61 - 363.67946743236*b62 - 273.136822990176*b63
      - 355.563806296337*b64 - 194.046191003143*b65 - 99.0010715125356*b66
      - 250.598725578763*b67 - 67.6669605181366*b68 - 88.2421148072165*b69
      - 169.700774043074*b70 - 163.618413602519*b71 - 179.622443088529*b72
      - 503.06832772418*b73 - 179.201297229611*b74 - 414.285319927326*b75
      - 359.134843842496*b76 - 90.9738416529607*b77 - 505.334430249411*b78
      - 394.341605011239*b79 - 504.182673743417*b80 - 232.742365145843*b81
      - 707.696470886055*b82 - 710.448776297179*b83 - 250.562514769084*b84
      - 650.238440560302*b85 - 77.1170572675807*b86 - 312.633669961727*b87
      - 142.269450675157*b88 - 153.022776132362*b89 - 551.147919857098*b90
      - 287.831002149329*b91 - 336.782937608947*b92 - 463.701548212201*b93
      - 241.611196591671*b94 - 24.1639213931607*b95 - 200.643830319498*b96
      - 376.097990316451*b97 - 154.600594109087*b98 - 278.64599329384*b99
      - 295.429713043008*b100 - 113.945955775425*b101 - 383.962346931602*b102
      - 302.65105541664*b103 - 380.813914126253*b104 - 773.198288152452*b105
      - 265.047476834782*b106 - 632.465317742327*b107 - 586.791111855992*b108
      - 260.082638813274*b109 - 769.354688759475*b110 - 657.006566335408*b111
      - 771.861427768791*b112 - 540.885172741987*b113 - 560.594490776333*b114
      - 890.488880299848*b115 - 259.942482707707*b116 - 580.756336311101*b117
      - 404.516739709834*b118 - 574.739678540771*b119 - 463.535898137432*b120
      - 245.785748722981*b121 - 872.250506358296*b122 - 704.377804059606*b123
      - 481.541576364034*b124 - 814.563195802202*b125 - 217.645632620131*b126
      - 397.523527704031*b127 - 215.278878363054*b128 - 660.689322162664*b129
      - 766.389526160548*b130 - 160.247965176608*b131 - 779.837433303884*b132
      - 633.958305188238*b133 - 773.22857535608*b134 - 502.341772532799*b135
      - 725.863386674913*b136 - 443.26403170523*b137 - 135.166265997905*b138
      - 513.770662349363*b139 - 239.391320299212*b140 - 194.33615146318*b141
      - 395.043386622235*b142 - 407.638910845368*b143 - 416.170540899117*b144
      - 268.22715225*b145 - 101.841745437534*b146 - 66.5583916008528*b147
      - 327.416664*b148 - 113.0930596242*b149 - 70.496630802465*b150
      - 318.91031775*b151 - 106.016440623009*b152 - 64.8321038352068*b153
      - 354.20971275*b154 - 116.787224755912*b155 - 71.1258209679967*b156
      - 409.67052*b157 - 127.189145909207*b158 - 75.1660702970269*b159
      - 440.1576845*b160 - 133.588180245023*b161 - 78.0570051826685*b162
      - 422.36333725*b163 - 136.77241788249*b164 - 82.5503807534421*b165
      - 437.47924675*b166 - 131.974510024443*b167 - 76.8812256404764*b168
      - 101259.483684509*x169 - 101259.483684509*x170 - 101259.483684509*x171
      - 101259.483684509*x172 - 101259.483684509*x173 - 101259.483684509*x174
      - 101259.483684509*x175 - 101259.483684509*x176 + objvar =E= 0;

e2..    1.465020132*b1 + 1.359734944*b9 + 1.421554108*b17 + 0.749119501*b25
      + 1.211666119*b33 + 1.222030951*b41 + 1.224720338*b49 + 0.583392775*b57
      + 0.507387528*b65 + 1.007181208*b73 + 1.448218778*b81 + 1.128698856*b89
      + 0.64088422*b97 + 1.073533103*b105 + 1.242005841*b113 + 1.242671696*b121
      + 1.400550697*b129 + 0.704652931*b137 - 1.8351027624375*x177
      - 3.670205524875*x178 - 5.5053082873125*x179 =E= 0;

e3..    1.465020132*b2 + 1.359734944*b10 + 1.421554108*b18 + 0.749119501*b26
      + 1.211666119*b34 + 1.222030951*b42 + 1.224720338*b50 + 0.583392775*b58
      + 0.507387528*b66 + 1.007181208*b74 + 1.448218778*b82 + 1.128698856*b90
      + 0.64088422*b98 + 1.073533103*b106 + 1.242005841*b114 + 1.242671696*b122
      + 1.400550697*b130 + 0.704652931*b138 - 1.686527528625*x180
      - 3.37305505725*x181 - 5.059582585875*x182 =E= 0;

e4..    1.465020132*b3 + 1.359734944*b11 + 1.421554108*b19 + 0.749119501*b27
      + 1.211666119*b35 + 1.222030951*b43 + 1.224720338*b51 + 0.583392775*b59
      + 0.507387528*b67 + 1.007181208*b75 + 1.448218778*b83 + 1.128698856*b91
      + 0.64088422*b99 + 1.073533103*b107 + 1.242005841*b115 + 1.242671696*b123
      + 1.400550697*b131 + 0.704652931*b139 - 1.464431797125*x183
      - 2.92886359425*x184 - 4.393295391375*x185 =E= 0;

e5..    1.465020132*b4 + 1.359734944*b12 + 1.421554108*b20 + 0.749119501*b28
      + 1.211666119*b36 + 1.222030951*b44 + 1.224720338*b52 + 0.583392775*b60
      + 0.507387528*b68 + 1.007181208*b76 + 1.448218778*b84 + 1.128698856*b92
      + 0.64088422*b100 + 1.073533103*b108 + 1.242005841*b116
      + 1.242671696*b124 + 1.400550697*b132 + 0.704652931*b140
      - 1.5869074876875*x186 - 3.173814975375*x187 - 4.7607224630625*x188 =E= 0
     ;

e6..    1.465020132*b5 + 1.359734944*b13 + 1.421554108*b21 + 0.749119501*b29
      + 1.211666119*b37 + 1.222030951*b45 + 1.224720338*b53 + 0.583392775*b61
      + 0.507387528*b69 + 1.007181208*b77 + 1.448218778*b85 + 1.128698856*b93
      + 0.64088422*b101 + 1.073533103*b109 + 1.242005841*b117
      + 1.242671696*b125 + 1.400550697*b133 + 0.704652931*b141
      - 1.5323799785625*x189 - 3.064759957125*x190 - 4.5971399356875*x191 =E= 0
     ;

e7..    1.465020132*b6 + 1.359734944*b14 + 1.421554108*b22 + 0.749119501*b30
      + 1.211666119*b38 + 1.222030951*b46 + 1.224720338*b54 + 0.583392775*b62
      + 0.507387528*b70 + 1.007181208*b78 + 1.448218778*b86 + 1.128698856*b94
      + 0.64088422*b102 + 1.073533103*b110 + 1.242005841*b118
      + 1.242671696*b126 + 1.400550697*b134 + 0.704652931*b142
      - 1.5380589155625*x192 - 3.076117831125*x193 - 4.6141767466875*x194 =E= 0
     ;

e8..    1.465020132*b7 + 1.359734944*b15 + 1.421554108*b23 + 0.749119501*b31
      + 1.211666119*b39 + 1.222030951*b47 + 1.224720338*b55 + 0.583392775*b63
      + 0.507387528*b71 + 1.007181208*b79 + 1.448218778*b87 + 1.128698856*b95
      + 0.64088422*b103 + 1.073533103*b111 + 1.242005841*b119
      + 1.242671696*b127 + 1.400550697*b135 + 0.704652931*b143
      - 1.792707516*x195 - 3.585415032*x196 - 5.378122548*x197 =E= 0;

e9..    1.465020132*b8 + 1.359734944*b16 + 1.421554108*b24 + 0.749119501*b32
      + 1.211666119*b40 + 1.222030951*b48 + 1.224720338*b56 + 0.583392775*b64
      + 0.507387528*b72 + 1.007181208*b80 + 1.448218778*b88 + 1.128698856*b96
      + 0.64088422*b104 + 1.073533103*b112 + 1.242005841*b120
      + 1.242671696*b128 + 1.400550697*b136 + 0.704652931*b144
      - 1.5012071746875*x198 - 3.002414349375*x199 - 4.5036215240625*x200 =E= 0
     ;

e10..    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 =E= 1;

e11..    b9 + b10 + b11 + b12 + b13 + b14 + b15 + b16 =E= 1;

e12..    b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 =E= 1;

e13..    b25 + b26 + b27 + b28 + b29 + b30 + b31 + b32 =E= 1;

e14..    b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 =E= 1;

e15..    b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 =E= 1;

e16..    b49 + b50 + b51 + b52 + b53 + b54 + b55 + b56 =E= 1;

e17..    b57 + b58 + b59 + b60 + b61 + b62 + b63 + b64 =E= 1;

e18..    b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72 =E= 1;

e19..    b73 + b74 + b75 + b76 + b77 + b78 + b79 + b80 =E= 1;

e20..    b81 + b82 + b83 + b84 + b85 + b86 + b87 + b88 =E= 1;

e21..    b89 + b90 + b91 + b92 + b93 + b94 + b95 + b96 =E= 1;

e22..    b97 + b98 + b99 + b100 + b101 + b102 + b103 + b104 =E= 1;

e23..    b105 + b106 + b107 + b108 + b109 + b110 + b111 + b112 =E= 1;

e24..    b113 + b114 + b115 + b116 + b117 + b118 + b119 + b120 =E= 1;

e25..    b121 + b122 + b123 + b124 + b125 + b126 + b127 + b128 =E= 1;

e26..    b129 + b130 + b131 + b132 + b133 + b134 + b135 + b136 =E= 1;

e27..    b137 + b138 + b139 + b140 + b141 + b142 + b143 + b144 =E= 1;

e28..    b145 + b146 + b147 =L= 1;

e29..    b148 + b149 + b150 =L= 1;

e30..    b151 + b152 + b153 =L= 1;

e31..    b154 + b155 + b156 =L= 1;

e32..    b157 + b158 + b159 =L= 1;

e33..    b160 + b161 + b162 =L= 1;

e34..    b163 + b164 + b165 =L= 1;

e35..    b166 + b167 + b168 =L= 1;

e36..  - b145 + x177 =L= 0;

e37..  - b146 + x178 =L= 0;

e38..  - b147 + x179 =L= 0;

e39..  - b148 + x180 =L= 0;

e40..  - b149 + x181 =L= 0;

e41..  - b150 + x182 =L= 0;

e42..  - b151 + x183 =L= 0;

e43..  - b152 + x184 =L= 0;

e44..  - b153 + x185 =L= 0;

e45..  - b154 + x186 =L= 0;

e46..  - b155 + x187 =L= 0;

e47..  - b156 + x188 =L= 0;

e48..  - b157 + x189 =L= 0;

e49..  - b158 + x190 =L= 0;

e50..  - b159 + x191 =L= 0;

e51..  - b160 + x192 =L= 0;

e52..  - b161 + x193 =L= 0;

e53..  - b162 + x194 =L= 0;

e54..  - b163 + x195 =L= 0;

e55..  - b164 + x196 =L= 0;

e56..  - b165 + x197 =L= 0;

e57..  - b166 + x198 =L= 0;

e58..  - b167 + x199 =L= 0;

e59..  - b168 + x200 =L= 0;

e60.. x177*b145 + x177*x169 - x169*b145 =L= 0;

e61.. x178*b146 + x178*x169 - x169*b146 =L= 0;

e62.. x179*b147 + x179*x169 - x169*b147 =L= 0;

e63.. x180*b148 + x180*x170 - x170*b148 =L= 0;

e64.. x181*b149 + x181*x170 - x170*b149 =L= 0;

e65.. x182*b150 + x182*x170 - x170*b150 =L= 0;

e66.. x183*b151 + x183*x171 - x171*b151 =L= 0;

e67.. x184*b152 + x184*x171 - x171*b152 =L= 0;

e68.. x185*b153 + x185*x171 - x171*b153 =L= 0;

e69.. x186*b154 + x186*x172 - x172*b154 =L= 0;

e70.. x187*b155 + x187*x172 - x172*b155 =L= 0;

e71.. x188*b156 + x188*x172 - x172*b156 =L= 0;

e72.. x189*b157 + x189*x173 - x173*b157 =L= 0;

e73.. x190*b158 + x190*x173 - x173*b158 =L= 0;

e74.. x191*b159 + x191*x173 - x173*b159 =L= 0;

e75.. x192*b160 + x192*x174 - x174*b160 =L= 0;

e76.. x193*b161 + x193*x174 - x174*b161 =L= 0;

e77.. x194*b162 + x194*x174 - x174*b162 =L= 0;

e78.. x195*b163 + x195*x175 - x175*b163 =L= 0;

e79.. x196*b164 + x196*x175 - x175*b164 =L= 0;

e80.. x197*b165 + x197*x175 - x175*b165 =L= 0;

e81.. x198*b166 + x198*x176 - x176*b166 =L= 0;

e82.. x199*b167 + x199*x176 - x176*b167 =L= 0;

e83.. x200*b168 + x200*x176 - x176*b168 =L= 0;

* set non-default levels
b1.l = 0.125;
b2.l = 0.125;
b3.l = 0.125;
b4.l = 0.125;
b5.l = 0.125;
b6.l = 0.125;
b7.l = 0.125;
b8.l = 0.125;
b9.l = 0.125;
b10.l = 0.125;
b11.l = 0.125;
b12.l = 0.125;
b13.l = 0.125;
b14.l = 0.125;
b15.l = 0.125;
b16.l = 0.125;
b17.l = 0.125;
b18.l = 0.125;
b19.l = 0.125;
b20.l = 0.125;
b21.l = 0.125;
b22.l = 0.125;
b23.l = 0.125;
b24.l = 0.125;
b25.l = 0.125;
b26.l = 0.125;
b27.l = 0.125;
b28.l = 0.125;
b29.l = 0.125;
b30.l = 0.125;
b31.l = 0.125;
b32.l = 0.125;
b33.l = 0.125;
b34.l = 0.125;
b35.l = 0.125;
b36.l = 0.125;
b37.l = 0.125;
b38.l = 0.125;
b39.l = 0.125;
b40.l = 0.125;
b41.l = 0.125;
b42.l = 0.125;
b43.l = 0.125;
b44.l = 0.125;
b45.l = 0.125;
b46.l = 0.125;
b47.l = 0.125;
b48.l = 0.125;
b49.l = 0.125;
b50.l = 0.125;
b51.l = 0.125;
b52.l = 0.125;
b53.l = 0.125;
b54.l = 0.125;
b55.l = 0.125;
b56.l = 0.125;
b57.l = 0.125;
b58.l = 0.125;
b59.l = 0.125;
b60.l = 0.125;
b61.l = 0.125;
b62.l = 0.125;
b63.l = 0.125;
b64.l = 0.125;
b65.l = 0.125;
b66.l = 0.125;
b67.l = 0.125;
b68.l = 0.125;
b69.l = 0.125;
b70.l = 0.125;
b71.l = 0.125;
b72.l = 0.125;
b73.l = 0.125;
b74.l = 0.125;
b75.l = 0.125;
b76.l = 0.125;
b77.l = 0.125;
b78.l = 0.125;
b79.l = 0.125;
b80.l = 0.125;
b81.l = 0.125;
b82.l = 0.125;
b83.l = 0.125;
b84.l = 0.125;
b85.l = 0.125;
b86.l = 0.125;
b87.l = 0.125;
b88.l = 0.125;
b89.l = 0.125;
b90.l = 0.125;
b91.l = 0.125;
b92.l = 0.125;
b93.l = 0.125;
b94.l = 0.125;
b95.l = 0.125;
b96.l = 0.125;
b97.l = 0.125;
b98.l = 0.125;
b99.l = 0.125;
b100.l = 0.125;
b101.l = 0.125;
b102.l = 0.125;
b103.l = 0.125;
b104.l = 0.125;
b105.l = 0.125;
b106.l = 0.125;
b107.l = 0.125;
b108.l = 0.125;
b109.l = 0.125;
b110.l = 0.125;
b111.l = 0.125;
b112.l = 0.125;
b113.l = 0.125;
b114.l = 0.125;
b115.l = 0.125;
b116.l = 0.125;
b117.l = 0.125;
b118.l = 0.125;
b119.l = 0.125;
b120.l = 0.125;
b121.l = 0.125;
b122.l = 0.125;
b123.l = 0.125;
b124.l = 0.125;
b125.l = 0.125;
b126.l = 0.125;
b127.l = 0.125;
b128.l = 0.125;
b129.l = 0.125;
b130.l = 0.125;
b131.l = 0.125;
b132.l = 0.125;
b133.l = 0.125;
b134.l = 0.125;
b135.l = 0.125;
b136.l = 0.125;
b137.l = 0.125;
b138.l = 0.125;
b139.l = 0.125;
b140.l = 0.125;
b141.l = 0.125;
b142.l = 0.125;
b143.l = 0.125;
b144.l = 0.125;
b145.l = 0.333333333333333;
b146.l = 0.333333333333333;
b147.l = 0.333333333333333;
b148.l = 0.333333333333333;
b149.l = 0.333333333333333;
b150.l = 0.333333333333333;
b151.l = 0.333333333333333;
b152.l = 0.333333333333333;
b153.l = 0.333333333333333;
b154.l = 0.333333333333333;
b155.l = 0.333333333333333;
b156.l = 0.333333333333333;
b157.l = 0.333333333333333;
b158.l = 0.333333333333333;
b159.l = 0.333333333333333;
b160.l = 0.333333333333333;
b161.l = 0.333333333333333;
b162.l = 0.333333333333333;
b163.l = 0.333333333333333;
b164.l = 0.333333333333333;
b165.l = 0.333333333333333;
b166.l = 0.333333333333333;
b167.l = 0.333333333333333;
b168.l = 0.333333333333333;
x169.l = 2.0180686234485;
x170.l = 2.67064491671916;
x171.l = 5.16946236688447;
x172.l = 3.40999341787307;
x173.l = 4.01899671228145;
x174.l = 3.94560764148528;
x175.l = 2.16932380733828;
x176.l = 4.47599655771955;
x177.l = 0.222887424070852;
x178.l = 0.222887424070852;
x179.l = 0.222887424070852;
x180.l = 0.242522769823075;
x181.l = 0.242522769823075;
x182.l = 0.242522769823075;
x183.l = 0.279303773947;
x184.l = 0.279303773947;
x185.l = 0.279303773947;
x186.l = 0.257747430646408;
x187.l = 0.257747430646408;
x188.l = 0.257747430646408;
x189.l = 0.266918997472609;
x190.l = 0.266918997472609;
x191.l = 0.266918997472609;
x192.l = 0.2659334590414;
x193.l = 0.2659334590414;
x194.l = 0.2659334590414;
x195.l = 0.228158427392347;
x196.l = 0.228158427392347;
x197.l = 0.228158427392347;
x198.l = 0.272461612575322;
x199.l = 0.272461612575322;
x200.l = 0.272461612575322;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-10-14 Git hash: 2be6d7c0
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