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Re: [Help-glpk] Generate Set from Param data


From: Meketon, Marc
Subject: Re: [Help-glpk] Generate Set from Param data
Date: Mon, 2 Dec 2013 13:25:10 -0600

The "binary" in your param definition suggests that out of the cross-product of classes and students, you only really want a subset of them.
 
It might be better, and easier, to have a two-dimensional set.  Page 47 of the GMPL manual shows how to do the data section using "+" and "-" to represent membership in the set, and it looks very much like your table below.  Paraphasing the example, this shows the set A having (1,2), (2,2), (2,3):
 

set A : 1 2 3 4 :=

1 - + - -

2 - + + -

3 + - - +

4 - + - + ;

 

From: help-glpk-bounces+address@hidden [help-glpk-bounces+address@hidden On Behalf Of Timothy Calderwood address@hidden
Sent: Monday, December 02, 2013 2:09 PM
To: address@hidden
Subject: [Help-glpk] Generate Set from Param data

I have a list of students defined as a set. I have also a param defined for historical information that contains the set of students. As seen below...

set Students;
param HistoricalInfo {c in Classes, s in Students}, binary;

Our project might have any number of students, from 50 to over a 1000. I rather not have to list the students twice, once in the set of students, a second time in param Historical Info. 

set Students := David, Jerry, Fannie, Student4, Student5, Student6, Student7, Student8;
param HistoricalInfo (tr):
                 English     Math    Science        SocialStudies    Elective :=
Jerry          1            0        0            0                0
David         1            0        1            0                0
Fannie       0            1        0            1                0
Student4    1            1        0            1                0
Student5    0            1        0            1                0
Student6    0            1        1            0                1
Student7    1            1        0            0                1
Student8    0            0        0            0                1;

My question is, is there a way to define set Students from the param data so the students only need to be listed once?

Thanks for you time and help...


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