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Separation Algorithms for Single-Machine Scheduling with Precedence Constraints

Mahjoub, Ali Ridha; McCormick, S. Thomas (2010), Separation Algorithms for Single-Machine Scheduling with Precedence Constraints, ISCO International Symposium on Combinatorial Optimization, 2010-03, Hammamet, Tunisie

Type
Communication / Conférence
Date
2010
Conference title
ISCO International Symposium on Combinatorial Optimization
Conference date
2010-03
Conference city
Hammamet
Conference country
Tunisie
Metadata
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Author(s)
Mahjoub, Ali Ridha

McCormick, S. Thomas
Abstract (EN)
In a 1991 paper M. Queyranne and Y. Wang proposed three classes of valid inequalities for the classic problem of scheduling a single machine with precedence constraints. These constraints are called "parallel constraints", "series constraints", and "Z constraints". It has been understood for a long time how to separate parallel constraints using submodular function minimization, or even just min cut, but separating series constraints has remained open since that time. We give a fast, practical separation algorithm for series constraints. It is based on parametric min cut algorithms. We also investigate separation of "Z constraints."
Subjects / Keywords
Constraints

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