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A heuristic for maximizing the number of on‐time jobs on two uniform parallel machines

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  • Christos Koulamas
  • George J. Kyparisis

Abstract

We consider the problem of maximizing the number of on‐time jobs on two uniform parallel machines. We show that a straightforward extension of an algorithm developed for the simpler two identical parallel machines problem yields a heuristic with a worst‐case ratio bound of at least $5\over 3$. We then show that the infusion of a “look ahead” feature into the aforementioned algorithm results in a heuristic with the tight worst‐case ratio bound of $3\over 2$, which, to our knowledge, is the tightest worst‐case ratio bound available for the problem. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006

Suggested Citation

  • Christos Koulamas & George J. Kyparisis, 2006. "A heuristic for maximizing the number of on‐time jobs on two uniform parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(6), pages 568-575, September.
    • Handle: RePEc:wly:navres:v:53:y:2006:i:6:p:568-575
    DOI: 10.1002/nav.20161
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    References listed on IDEAS

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    1. Labbe, Martine & Laporte, Gilbert & Martello, Silvano, 2003. "Upper bounds and algorithms for the maximum cardinality bin packing problem," European Journal of Operational Research, Elsevier, vol. 149(3), pages 490-498, September.
    2. Paul Mireault & James B. Orlin & Rakesh V. Vohra, 1997. "A Parametric Worst Case Analysis of the LPT Heuristic for Two Uniform Machines," Operations Research, INFORMS, vol. 45(1), pages 116-125, February.
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