### When solve Stackelberg problems with MPEC type, shows 1 error that "571 rows 599 columns 12094 non-zeroes 13372 nl-code 9947 nl-non-zeros "

Posted:

**Mon Apr 18, 2016 5:13 pm**Help:

When I using GAMS to solve an Economic phenomenon based on Stacklberg Modle, once I operate the system ,some error occurs, the information shows in the below picture:

Below is the whole program:

set i (*)

j (*);

$load i j

parameters

t(i,j) unit transport cost

c(j) unit product cost

sl(i) supply limit

da(j) demand constant a

db(j) demand constant b

dl(j) demand limit;

$load t c sl da db dl

$ gdxin

display i,j,t,c,sl,da,db,dl;

set leader(i) /6/;

positive variables

ps(i) supply price

pd(j) demand price

x(i,j) traffic volume between supply i to demand j;

variable benefitleader leader's benefit;

equations

profit_leader leader's profit

profit_follwer(i,j) follower's profit

sb(i) supply balance

deb(j) demand balance;

alias (i,ii);

x.lo(i,j)=0.01;

deb(j).. sum(i,x(i,j))=g=dl(j);

sb(i).. sl(i)=g=sum(j,x(i,j));

profit_follwer(i,j)$(not leader(i)).. t(i,j)+c(j)+ps(i)-pd(j)-exp(da(j))*sum(ii,x(ii,j))**db(j)=g=0;

profit_leader.. benefitleader =e=sum((i,j)$leader(i),exp(da(j))*sum(ii,x(i,j))**db(j)*x(i,j)-c(j)*x(i,j)-t(i,j)*x(i,j));

model sitanboge /sb.ps,deb.pd,profit_follwer.x,profit_leader/;

solve sitanboge using mpec max benefitleader;

option NLP=conopt;

display x.l,ps.l,pd.l;

Parameter report1(i,*) supply summary report

report2(j,*) demand summary report ;

report1(i,"supply") = sum(j,x.l(i,j)); report1(i,"capacity") = sl(i); report1(i,"prices") = ps.l(i);

report2(j,"demandl") = dl(j);report2(j,"demand")=sum(i,x.l(i,j)); report2(j,"priced") = pd.l(j);

Display report1,report2, x.l;

Sincerely ask for a solution to solve this problem !!!!

Many Many Thanks !!!!!!

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