Operational fixed job scheduling problem under spread time constraints: a branch-and-price algorithm

Solyali O., Ozpeynirci O.

INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, vol.47, no.7, pp.1877-1893, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 7
  • Publication Date: 2009
  • Doi Number: 10.1080/00207540701666204
  • Journal Name: INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1877-1893
  • Keywords: fixed job scheduling, spread time constraints, column generation, branch and price, Dantzig-Wolfe decomposition, APPROXIMATION ALGORITHMS, COLUMN GENERATION
  • Middle East Technical University Affiliated: Yes

Abstract

This study addresses the operational fixed job scheduling problem under spread time constraints. The problem is to select a subset of jobs having fixed ready times and deadlines for processing on identical parallel machines such that total weight of the selected jobs is maximised. We first give a mathematical formulation of the problem and then reformulate it using Dantzig-Wolfe decomposition. We propose a branch-and-price algorithm that works on the reformulation of the problem. Computational results show that our algorithm is far superior to its competitor in the literature. It solves instances that could not be solved in one hour CPU time in less than a second and is able to solve large-scale instances in reasonable times which make it a computationally viable tool for decision-making.