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Some Properties of Optimal Schedule of Jobs with a Common Due Date

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  • Raghavacahari M

Abstract

Kanet (Naval Research Logistics Quarters, 1981) considered the problem of minimizing the average deviation of job completion times above a common due date. Under the condition that the common due date exceeds the makespan of the job set, he obtained a procedure SCHED which yields optimal sequence for the problem. In this paper, we consider the general problem without any condition and some general properties and in particular the V – shape of optimal schedule is proved. It is also shown that the SCHED algorithm of Kanet gives optimal sequence under less restrictive and a more practical condition on d. A few special cases including the complete solution for n=3 jobs are also given.

Suggested Citation

  • Raghavacahari M, 1983. "Some Properties of Optimal Schedule of Jobs with a Common Due Date," IIMA Working Papers WP1983-06-01_00536, Indian Institute of Management Ahmedabad, Research and Publication Department.
  • Handle: RePEc:iim:iimawp:wp00536
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