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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...

A branch-and-cut algorithm for a resource-constrained scheduling problem

Renaud SirdeyHervé L. M. Kerivin — 2007

RAIRO - Operations Research

This paper is devoted to the exact resolution of a strongly -hard resource-constrained scheduling problem, the , which arises in relation to the operability of certain high-availability real-time distributed systems. Based on the study of the polytope defined as the convex hull of the incidence vectors of the admissible process move programs, we present a branch-and-cut algorithm along with extensive computational results demonstrating its practical relevance, in terms of both exact and approximate...

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