In the production/distribution model given in the text [formulation (8.70)–(8.75)] we used flow variables, Y k ijq . One of the problems with this formulation is that it leads to the use of rather...

In the production/distribution model given in the text [formulation

(8.70)–(8.75)] we used flow variables, Y^k
_ijq. One of the problems with this formulation is that it leads to the use of rather weak linkage constraints (8.71) between the flow variables and the warehouse location variables, X_j. Modify this formulation so that it uses variables that represent the fraction of the demand for product k
 K in market i
 I that is produced at plant q
 Q and goes via warehouse j
 J.