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Flow Polyhedra and Resource Constrained Project Scheduling Problems

Published online by Cambridge University Press:  21 December 2012

Alain Quilliot  and
Hélène Toussaint
Alain Quilliot
Affiliation:
LIMOS, UMR CNRS 6158, Bat. ISIMA, Université Blaise Pascal, Campus des Cézeaux, BP 125, 63173 Aubiere, France. alain.quilliot@isima.fr
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Abstract

This paper aims at describing the way Flow machinery may be used in order to deal with Resource Constrained Project Scheduling Problems (RCPSP). In order to do it, it first introduces the Timed Flow Polyhedron related to a RCPSP instance. Next it states several structural results related to connectivity and to cut management. It keeps on with a description of the way this framework gives rise to a generic Insertion operator, which enables programmers to design greedy and local search algorithms. It ends with numerical experiments.

Keywords

Scheduling with resource constraintsnetwork flow theory
Type
Research Article
Information
RAIRO - Operations Research , Volume 46 , Issue 4 , October 2012 , pp. 373 - 409
Copyright
© EDP Sciences, ROADEF, SMAI, 2012

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