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

Listed author(s):
  • Raghavacahari M
Registered author(s):

    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.

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    Paper provided by Indian Institute of Management Ahmedabad, Research and Publication Department in its series IIMA Working Papers with number WP1983-06-01_00536.

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    Date of creation: 01 Jun 1983
    Handle: RePEc:iim:iimawp:wp00536
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