Journal of Heuristics

, Volume 3, Issue 4, pp 287–297

A Fully Polynomial Approximation Scheme for Minimizing Makespan of Deteriorating Jobs

  • Mikhail Y. Kovalyov
  • Wieslaw Kubiak

DOI: 10.1023/A:1009626427432

Cite this article as:
Kovalyov, M.Y. & Kubiak, W. Journal of Heuristics (1998) 3: 287. doi:10.1023/A:1009626427432


A fully polynomial approximation scheme for the problem of scheduling n deteriorating jobs on a single machine to minimize makespan is presented. Each algorithm of the scheme runs in O(n5L4ɛ3) time, where L is the number of bits in the binary encoding of the largest numerical parameter in the input, and ɛ is required relative error. The idea behind the scheme is rather general and it can be used to develop fully polynomial approximation schemes for other combinatorial optimization problems. Main feature of the scheme is that it does not require any prior knowledge of lower and/or upper bounds on the value of optimal solutions.

fully polynomial approximation schemedeteriorating jobs

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Mikhail Y. Kovalyov
    • 1
  • Wieslaw Kubiak
    • 2
  1. 1.Institute of Engineering CyberneticsNational Academy of Sciences of BelarusMinskBelarus
  2. 2.Faculty of Business AdministrationMemorial University of NewfoundlandSt. John'sCanada