Journal of Global Optimization

, Volume 9, Issue 3, pp 395–416

Machine scheduling with an availability constraint

  • Chung-Yee Lee

DOI: 10.1007/BF00121681

Cite this article as:
Lee, CY. J Glob Optim (1996) 9: 395. doi:10.1007/BF00121681


Most literature in scheduling assumes that machines are available simultaneously at all times. However, this availability may not be true in real industry settings. In this paper, we assume that the machine may not always be available. This happens often in the industry due to a machine breakdown (stochastic) or preventive maintenance (deterministic) during the scheduling period. We study the scheduling problem under this general situation and for the deterministic case.

We discuss various performance measures and various machine environments. In each case, we either provide a polynomial optimal algorithm to solve the problem, or prove that the problem is NP-hard. In the latter case, we develop pseudo-polynomial dynamic programming models to solve the problem optimally and/or provide heuristics with an error bound analysis.

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Chung-Yee Lee
    • 1
  1. 1.Department of Industrial and Systems EngineeringUniversity of FloridaGainesvilleUSA