Scheduling a batch processing machine with non-identical job sizes


Azizoglu M. , Webster S.

INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, vol.38, no.10, pp.2173-2184, 2000 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 10
  • Publication Date: 2000
  • Doi Number: 10.1080/00207540050028034
  • Title of Journal : INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH
  • Page Numbers: pp.2173-2184

Abstract

The problem of scheduling batch processors is important in some industries and, at a more fundamental level, captures an element of complexity common to many practical scheduling problems. We describe a branch and bound procedure applicable to a batch processor model with arbitrary job processing times, job weights and job sizes. The scheduling objective is to minimize total weighted completion time. We find that the procedure returns optimal solutions to problems of up to similar to 25 jobs in reasonable CPU time, and can be adapted for use as a heuristic for larger problems.