topic creating a decision variable which is binary but also could be range in Mathematical Optimization, Discrete-Event Simulation, and OR

creating a decision variable which is binary but also could be range

DanielZhang — Tue, 03 Sep 2019 04:02:07 GMT

Hi guys,

In the proc optmodel, I am trying to make a water valve as a decision variable. It could be either on and off, once it on, it is limited in range from 200 to 1000. How should I set up this? Thank you.

Re: creating a decision variable which is binary but also could be range

sertalpb — Tue, 03 Sep 2019 13:01:44 GMT

Hi,

Here is a way to do it:

proc optmodel;
   var valve binary;
   var flow;
   con flow_lb: flow >= valve * 200;
   con flow_ub: flow <= valve * 1000;
quit;

You are adding a binary variable for the valve (on/off behavior) and another one for the numerical value you want.