ON SCHEDULING INDEPENDENT TASKS WITH RESTRICTED EXECUTION TIMES.

Joseph Y.T. Leung

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

Consideration is given to the problem of nonpreemptively scheduling n independent tasks on m identical and parallel machines with the objective of minimizing the overall finishing time. The problem is shown to be NP-complete in the strong sense and there probably will not be any pseudopolynomial time algorithm for solving this problem. It is shown, however, that if the execution times are restricted to a fixed number, say k, of different values, then it can be solved in polynomial time. The author's algorithm can be implemented to run in time O(log//2p*log//2m*n**2**(**k** minus **1**) and space O(log//2m*n**k** minus **1**) in the worst case, where p is the largest execution time.

Original languageEnglish (US)
Pages (from-to)163-171
Number of pages9
JournalOperations Research
Volume30
Issue number1
DOIs
StatePublished - Jan 1 1982

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Management Science and Operations Research

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