Lingo求解代码!!

min maxEip (i,p=1,2,3)

Sip>=0
Eip=Sip+Tip
(Sip+Tip-Si’p)(Si’p-Sip)<=0,Tip=0
i≠i’
(Sip+Tip-Si’p)(Si’p-Sip)<0,Tip≠0
(Sip+Tip-Sip’)(Sip’-Sip)<=0,Tip=0
p≠p’
(Sip+Tip-Sip’)(Sip’-Sip)<0,Tip≠0
(Sip-Sip’)Qipp’<=0

使用Lingo求解代码!

可以使用该代码来解决您的问题

Model:
maximize z;
 
! Define variables
variables
  S11, S12, S13, S21, S22, S23, S31, S32, S33    >= 0
  T11, T12, T13, T21, T22, T23, T31, T32, T33    >= 0;
  
! Define objective function
z = min(T11, T12, T13, T21, T22, T23, T31, T32, T33);
 
! Define constraints
S11 + T11 = S12 + T12 = S13 + T13;
S21 + T21 = S22 + T22 = S23 + T23;
S31 + T31 = S32 + T32 = S33 + T33;
 
(S11 + T11 - S21)(S21 - S11) <= 0; T21 = 0;
(S11 + T11 - S22)(S22 - S11) < 0; T22 <> 0;
(S11 + T11 - S23)(S23 - S11) < 0; T23 <>0;
(S12 + T12 - S21)(S21 - S12) < 0; T21 <> 0;
(S12 + T12 - S22)(S22 - S12) <= 0; T22 = 0;
(S12 + T12 - S23)(S23 - S12) < 0; T23 <> 0;
(S13 + T13 - S21)(S21 - S13) < 0; T21 <> 0;
(S13 + T13 - S22)(S22 - S13) < 0; T22 <> 0;
(S13 + T13 - S23)(S23 - S13) <= 0; T23 = 0;
 
(S11 + T11 - S31)(S31 - S11) < 0; T31 <> 0;
(S11 + T11 - S32)(S32 - S11) < 0; T32 <> 0;
(S11 + T11 - S33)(S33 - S11) <= 0; T33 = 0;
(S12 + T12 - S31)(S31 - S12) < 0; T31 <> 0;
(S12 + T12 - S32)(S32 - S12) <= 0; T32 = 0;
(S12 + T12 - S33)(S33 - S12) < 0; T33 <>0;
(S13 + T13 - S31)(S31 - S13) < 0; T31 <> 0;
(S13 + T13 - S32)(S32 - S13) < 0; T32 <> 0;
(S13 + T13 - S33)(S33 - S13) <= 0; T33 = 0;
 
(S21 + T21 - S31)(S31 - S21) < 0; T31 <> 0;
(S21 + T21 - S32)(S32 - S21) <= 0; T32 = 0;
(S21 + T21 - S33)(S33 - S21) < 0; T33 <> 0;
(S22 + T22 - S31)(S31 - S22) < 0; T31 <> 0;
(S22 + T22 - S32)(S32 - S22) < 0; T32 <> 0;
(S22 + T22 - S33)(S33 - S22) <= 0; T33 = 0;
(S23 + T23 - S31)(S31 - S23) < 0; T31 <> 0;
(S23 + T23 - S32)(S32 - S23) < 0; T32 <> 0;
(S23 + T23 - S33)(S33 - S23) <= 0; T33 =0;
 
(S11 - S21)*Q1121 <= 0;
(S11 - S31)*Q1131 <= 0;
(S12 - S22)*Q1222 <= 0;
(S12 - S32)*Q1232 <= 0;
(S13 - S23)*Q1323 <= 0;
(S13 - S33)*Q1333 <= 0;
 
! Solve the model
solve;
 
! Display the results
display z;
display S11, S12, S13, S21, S22, S23, S31, S32, S33;
display T11, T12, T13, T21, T22, T23, T31, T32, T33;

在这个模型中,我定义了变量Sip和Tip,以及目标函数z。我还定义了一系列约束条件,这些约束条件基于您提供的问题描述。最后,我使用Lingo的solve命令来解决模型,并使用显示

请注意,这只是一个示例模型,您需要根据您的具体问题和数据进行修改。此外,您需要定义和设置Qipp'变量的值,这里没有给出具体代码