Name
Abstract | ||
|---|---|---|
The pooling problem consists of finding the optimal quantity of final products to obtain by blending different compositions of raw materials in pools. Bilinear terms are required to model the quality of products in the pools, making the pooling problem a non-convex continuous optimization problem. In this paper we study a generalization of the standard pooling problem where binary variables are used to model fixed costs associated with using a raw material in a pool. We derive four classes of strong valid inequalities for the problem and demonstrate that the inequalities dominate classic flow cover inequalities. The inequalities can be separated in polynomial time. Computational results are reported that demonstrate the utility of the inequalities when used in a global optimization solver. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/978-3-642-20807-2_10 | IPCO |
Keywords | Field | DocType |
computational result,classic flow cover inequality,different composition,optimal quantity,valid inequality,final product,global optimization solver,raw material,binary variable,non-convex continuous optimization problem,bilinear term | Mathematical optimization,Global optimization,Pooling,Fixed cost,Integer programming,Solver,Time complexity,Mathematics,Binary number,Bilinear interpolation | Conference |
Volume | ISSN | Citations |
6655 | 0302-9743 | 9 |
PageRank | References | Authors |
0.51 | 6 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Claudia D'Ambrosio | 1 | 159 | 20.07 |
| Jeff Linderoth | 2 | 654 | 50.26 |
| James Luedtke | 3 | 439 | 25.95 |