Approximation Bounds for a General Class of Precedence Constrained Parallel Machine Scheduling Problems

  • Alix Munier
  • Maurice Queyranne
  • Andreas S. Schulz
Conference paper

DOI: 10.1007/3-540-69346-7_28

Part of the Lecture Notes in Computer Science book series (LNCS, volume 1412)
Cite this paper as:
Munier A., Queyranne M., Schulz A.S. (1998) Approximation Bounds for a General Class of Precedence Constrained Parallel Machine Scheduling Problems. In: Bixby R.E., Boyd E.A., Ríos-Mercado R.Z. (eds) Integer Programming and Combinatorial Optimization. IPCO 1998. Lecture Notes in Computer Science, vol 1412. Springer, Berlin, Heidelberg

Abstract

A well studied and difficult class of scheduling problems con- cerns parallel machines and precedence constraints. In order to model more realistic situations, we consider precedence delays, associating with each precedence constraint a certain amount of time which must elapse between the completion and start times of the corresponding jobs. Re- lease dates, among others, may be modeled in this fashion. We provide the first constant-factor approximation algorithms for the makespan and the total weighted completion time objectives in this general class of problems. These algorithms are rather simple and practical forms of list scheduling. Our analysis also unifies and simplifies that of a number of special cases heretofore separately studied, while actually improving some of the former approximation results.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Alix Munier
    • 1
  • Maurice Queyranne
    • 2
    • 4
  • Andreas S. Schulz
    • 3
  1. 1.Laboratoire LIP6Université Pierre et Marie CurieParis, cedex 05France
  2. 2.Faculty of Commerce and Business AdministrationUniversity of British ColumbiaVancouverCanada
  3. 3.Fachbereich Mathematik, MA 6-1Technische Universität BerlinBerlinGermany
  4. 4.Università di Bologna — Sede di RiminiRiminiItaly

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