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Flow Polyhedra and Resource Constrained Project Scheduling Problems

Alain QuilliotHélène Toussaint — 2012

RAIRO - Operations Research - Recherche Opérationnelle

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....

Tree based models and algorithms for the preemptive asymmetric Stacker Crane problem

Hervé KerivinMathieu LacroixAlain QuilliotHélène Toussaint — 2011

RAIRO - Operations Research

In this paper we deal with the preemptive asymmetric stacker crane problem in a heuristic way. We first present some theoretical results which allow us to turn this problem into a specific tree design problem. We next derive from this new representation an integer linear programming model together with simple and efficient greedy and local search heuristics. We conclude by presenting experimental results which aim at both testing the efficiency of our heuristic and evaluating the impact of the...

Tree based models and algorithms for the preemptive asymmetric Stacker Crane problem

Hervé KerivinMathieu LacroixAlain QuilliotHélène Toussaint — 2011

RAIRO - Operations Research

In this paper we deal with the preemptive asymmetric stacker crane problem in a heuristic way. We first present some theoretical results which allow us to turn this problem into a specific tree design problem. We next derive from this new representation an integer linear programming model together with simple and efficient greedy and local search heuristics. We conclude by presenting experimental results which aim at both testing the efficiency of our heuristic and evaluating the impact of the...

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