Scheduling a batch-processing machine subject to precedence constraints, release dates and identical processing times

Edwin Tai Chiu Cheng, J. J. Yuan, A. F. Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

24 Citations (Scopus)

Abstract

We consider the single machine parallel-batching scheduling problem with precedence relations, release dates and identical processing times to minimize a regular objective function. When the processing times are unit, we give an O(n2) time optimal algorithm. When there are no precedence relations, we solve this problem by dynamic programming in O(n3) time. When the precedence relations are "layerly complete", we solve this problem by a dynamic programming algorithm that runs in O(n7) time. For the total weighted completion time minimization problem, we give an O(n2) time 32-approximation algorithm. For the makespan minimization problem, we give an O(n2) time optimal algorithm and an expression of the minimum makespan.
Original languageEnglish
Pages (from-to)849-859
Number of pages11
JournalComputers and Operations Research
Volume32
Issue number4
DOIs
Publication statusPublished - 1 Apr 2005

Keywords

  • Algorithms
  • Batch processing
  • Identical processing times
  • Precedence constraints
  • Release dates
  • Scheduling

ASJC Scopus subject areas

  • Computer Science(all)
  • Modelling and Simulation
  • Management Science and Operations Research

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