DOLLAR $-Restrictions

GAMS
1

hi guys
i have a question that i coudnt find its answer for a long time.
please answer me if you know;
im working on MRCPCP(multi mode resource constrained project scheduling problem) and i want to code my problem with GAMS.
but i dont know how can i specify upper and lowe bound for summation over time. because this summation must be overt " t "and for every activity this " t " must be from “EF(j)” to “LF(j)”. i have problem to code it in GAMS. please help me if you know. thank you
AZAD AMIRI
best regards

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2

hello
Dear Azad, maybe the easiest solution for you problem is to define a parameters contain the value of earliest and latest time for each job in each t and then use $ in your summation over that parameters.

cheer,



On Tue, Apr 16, 2013 at 5:38 PM, Azad Amiri wrote:

hi guys
i have a question that i coudnt find its answer for a long time.
please answer me if you know;
im working on MRCPCP(multi mode resource constrained project scheduling problem) and i want to code my problem with GAMS.
but i dont know how can i specify upper and lowe bound for summation over time. because this summation must be overt " t "and for every activity this " t " must be from “EF(j)” to “LF(j)”. i have problem to code it in GAMS. please help me if you know. thank you
AZAD AMIRI
best regards

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Babak Saleck Pay
M.Sc
Socio-Economic System Engineering
Group of Industrial Engineering
University of Tehran
Tehran,Iran
www.babaksp.com

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3

Hello Azad Amiri,

did you solve your problem with MRCPCP?

I work for 6 years with this problem and some others variations too. If you have some aditional problem, you can contact me.

I use this to plan the manufacturing of complex products using GAMS/CPLEX of real world applications.

I already implemented this constraint you are asking for help. What kink of study are you doing?

Best Regards,
Jack


2013/4/16 Azad Amiri

hi guys
i have a question that i coudnt find its answer for a long time.
please answer me if you know;
im working on MRCPCP(multi mode resource constrained project scheduling problem) and i want to code my problem with GAMS.
but i dont know how can i specify upper and lowe bound for summation over time. because this summation must be overt " t "and for every activity this " t " must be from “EF(j)” to “LF(j)”. i have problem to code it in GAMS. please help me if you know. thank you
AZAD AMIRI
best regards

–
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4

HI GAMSWORLD
HI SIR BUSH
i’m working on multi skill project scheduling problem(mspsp).i’m confused because i can’t code precedece relations constrains.can you help me?


best regards

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5

Hello Sina,

did you solve your problem?

If you are using the literature notation, see the code bellow:

sum(T$((ord(T) ge r(H)) and (ord(T) le d(H))), ord(T) * X(H,T)) =l= sum(T$((ord(T) ge r(J)) and (ord(T) le d(J))), (ord(T) - p(J)) * X(J,T));

It will work to single mode PSP. Its easy extend to multi mode, using an aditional index (i, for example).

Jack


2013/6/3 Sina Zabihi

HI GAMSWORLD
HI SIR BUSH
i’m working on multi skill project scheduling problem(mspsp).i’m confused because i can’t code precedece relations constrains.can you help me?


best regards

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6

Dear sir bush
thanks for your help but i can’t solve my problem,i cant’t define lower & upper bound for summation…i attached mathemathical model & my gams code for you to skim it.thanks lot for your kindness.
yours sincerely

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second article.gms (2.87 KB)
mspsp.pdf (167 KB)

7

Hello Sina,

My name is Jack, not Bush.

I´m not pretty sure, but I think I found your mistake.

See your original code:

constrain7(j,i,a)…sum(k,x(i,j,k))=e=sum(t$((ord(t) ge k) and (ord(T) le k+d(i)-1)),z(i,t,a));

The paper uses:

constrain7(j,i,a)…sum(k,x(i,j,k))=e=sum(t$((ord(t) ge k) and (ord(T) le k+d(i)-1)),z(i,k,a));

Try this, maybe the problem is just an the second index of variable z.

Best regards,
Jack





2013/6/12 Sina Zabihi

Dear sir bush
thanks for your help but i can’t solve my problem,i cant’t define lower & upper bound for summation…i attached mathemathical model & my gams code for you to skim it.thanks lot for your kindness.
yours sincerely

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8

Hi SIna

The mistake has to do with using k as if it is a number. k is a set and the elements are characters not numbers, so you should use something like ord(k) or k.val.

You then have another problem, as you can’t use a “stand-alone” k in the equation (k should in this case appear in the equation definition or you should use k in the equation in a summation or product.

Cheers

Renger



From: gamsworld@googlegroups.com [mailto:gamsworld@googlegroups.com] On Behalf Of Jack Hagart
Sent: Freitag, 14. Juni 2013 05:44
To: gamsworld@googlegroups.com
Subject: Re: DOLLAR $-Restrictions



Hello Sina,

My name is Jack, not Bush.

I´m not pretty sure, but I think I found your mistake.

See your original code:

constrain7(j,i,a)…sum(k,x(i,j,k))=e=sum(t$((ord(t) ge k) and (ord(T) le k+d(i)-1)),z(i,t,a));

The paper uses:


constrain7(j,i,a)…sum(k,x(i,j,k))=e=sum(t$((ord(t) ge k) and (ord(T) le k+d(i)-1)),z(i,k,a));

Try this, maybe the problem is just an the second index of variable z.

Best regards,

Jack







2013/6/12 Sina Zabihi

Dear sir bush
thanks for your help but i can’t solve my problem,i cant’t define lower & upper bound for summation…i attached mathemathical model & my gams code for you to skim it.thanks lot for your kindness.
yours sincerely


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