About This Item

Ask the MINDS@UW Librarian

Valid Inequalities for the Pooling Problem with Binary Variables

Show full item record


D'Ambrosio, Claudio; Linderoth, Jeff; Luedtke, James
University of Wisconsin-Madison Department of Computer Sciences
Mar 15, 2012
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.
Permanent link
Export to RefWorks 

Part of

Show full item record

Search and browse


Deposit materials

  1. Register to deposit in MINDS@UW
  2. Need deposit privileges? Contact us.
  3. Already registered? Have deposit privileges? Deposit materials.