Volume 6 Number 6 (Jun. 2011)
Home > Archive > 2011 > Volume 6 Number 6 (Jun. 2011) >
JSW 2011 Vol.6(6): 1146-1153
doi: 10.4304/jsw.6.6.1146-1153

A heuristic serial schedule algorithm for unrelated parallel machine scheduling with precedence constraints

Chunfeng Liu 1,2 , Shanlin Yang 1

  • 1 School of Management, Hefei University of Technology, Hefei, China
  • 2 Tourism College of Zhejiang, Hangzhou, China

Abstract

The paper presents a priority rule-based heuristic serial schedule (SS) algorithm for a deterministic scheduling problem where multiple jobs with arbitrary precedence constraints are processed on multiple unrelated parallel machines. The objective is to minimise makespan. The priority rule employs the arithmetic mean and deviation of the processing times to determine the prior job-machine pair. Moreover, at each iteration, the algorithm can schedule the prior job on the prior machine as early as possible to prevent certain machines from standing idle by the greatest extent. The proposed algorithm is demonstrated in detail through a test instance. Computational experiments are conducted to show that the new polynomial-time algorithm is effective in reducing makespan and efficient in shortening runtime.

Keywords

  • unrelated machines
  • scheduling
  • preceden
jsw0606-25

How to Cite

Copied

Chunfeng Liu and Shanlin Yang, "A heuristic serial schedule algorithm for unrelated parallel machine scheduling with precedence constraints," Journal of Software, vol. 6, no. 6, pp. 1146-1153, 2011. https://doi.org/ 10.4304/jsw.6.6.1146-1153

Copyright & License

Copyright © 2011 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Article Metrics in Dimensions

General Information

  • ISSN: 1796-217X (Online)

  • Abbreviated Title: J. Softw.

  • Frequency:  Biannually

  • APC: 500USD

  • DOI: 10.17706/JSW

  • Editor-in-Chief: Prof. Antanas Verikas

  • Executive Editor: Ms. Cecilia Xie

  • Abstracting/ Indexing: DBLP, CNKI, 

  • Google Scholar, ProQuest,
           INSPEC(IET), ULRICH's Periodicals
           Directory, WorldCat, etc

  • E-mail: editor@jsoftware.us

  • Aug 27, 2026 News!

    Vol 21, No 1 has been published with online version

  • Mar 30, 2026 News!

    Vol 20, No 2 has been published with online version   [Click]

  • Apr 01, 2024 News!

    Vol 14, No 4- Vol 14, No 12 has been indexed by IET-(Inspec)     [Click]

  • Apr 01, 2024 News!

    Papers published in JSW Vol 18, No 1- Vol 18, No 6 have been indexed by DBLP   [Click]

  • Mar 07, 2025 News!

    JSW had implemented online submission system   [Click]