A simple genetic algorithm for a minimal overlapping scheduling problem

This article introduces a new version of the Multiple Machine Scheduling Problem: the Scheduling Problem with Time Windows and Minimal Overlap (SPTWMO). Given a set of nonpreemptive jobs with time windows and a number of identical machines, the problem consists on finding a starting time for each jo...

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Detalles Bibliográficos
Autores principales: Olivera, Alfredo, Nesmachnow, Sergio
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2004
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/22559
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Sumario:This article introduces a new version of the Multiple Machine Scheduling Problem: the Scheduling Problem with Time Windows and Minimal Overlap (SPTWMO). Given a set of nonpreemptive jobs with time windows and a number of identical machines, the problem consists on finding a starting time for each job which satisfies time window constraints while minimizing a measure of resource infeasibility (the Total Overlap). The problem is NP-Complete even in the case when only one machine is considered. We present a simple genetic algorithm applied to the SPTWMO, reporting efficient numerical results according to lower bounds obtained solving the preemptive version of the problem.