IIE Transactions

, Volume 30, Issue 11, pp 991–999

Algorithms for multiprocessor scheduling with machine release times

  • Hans Kellerer

DOI: 10.1023/A:1007526827236

Cite this article as:
Kellerer, H. IIE Transactions (1998) 30: 991. doi:10.1023/A:1007526827236


In this paper we present algorithms for the problem of scheduling n independent jobs on m identical machines. As a generalization of the classical multiprocessor scheduling problem each machine is available only at a machine dependent release time. Two objective functions are considered. To minimize the makespan, we develop a dual approximation algorithm with a worst case bound of 5/4. For the problem of maximizing the minimum completion time, we develop an algorithm, such that the minimum completion time in the schedule produced by this algorithm is at least 2/3 times the minimum completion time in the optimum schedule. The paper closes with some numerical results.

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • Hans Kellerer
    • 1
  1. 1.Institut für Statistik, Ökonometrie und Operations ResearchUniversität Graz, Universitätsstraße 15, A–GrazAustria