Minimizing total flow time in single machine environment with release time: an experimental analysis

  • Authors:
  • Y. Guo;A. Lim;B. Rodrigues;S. Yu

  • Affiliations:
  • School of Computing, National University of Singapore, 3 Science Drive 2, Singapore, Singapore;Department of Industrial Engineering and Engineering Management, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China;School of Business, Singapore Management University, 269 Bukit Timah Road, Singapore, Singapore;School of Computing, National University of Singapore, 3 Science Drive 2, Singapore, Singapore

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2004

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Abstract

We study the problem of minimizing total flow time on a single machine with job release times. This problem is NP-complete for which is no constant ratio approximation algorithm. Our objective is to study experimentally how well, on average, the problem can be solved. The algorithm we use produces non-preemptive schedules converted from preemptive ones. We evaluate average solution quality for the problem to identify the characteristics of difficult instances. Results obtained are compared with those recently obtained by other researchers. Based on extensive experiments, we also develop an empirical model to predict solution quality using interpolation.