Scheduling around a small common due date


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pp 237-242.
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A set of n jobs has to be scheduled on a single machine which can handle only one job at a time. Each job requires a given positive uninterrupted processing time and has a positive weight. The problem is to find a schedule that minimizes the sum of weighted deviations of the job completion times from a given common due date d, which is smaller than the sum of the processing times. We prove that this problem is NP-hard even if all job weights are equal. In addition, we present a pseudopolynomial algorithm that requires O(n2d) time and O(nd) space.



Keywords


Automatically Extracted Terms
  • problem
  • schedule
  • scheduling
  • completion
  • weight
  • processing
  • algorithm
  • velde / scheduling
  • theorem
  • t h e
  • research
  • partition
  • processing times
  • completion times
  • completion time
  • tardiness penalty weights
  • even-odd partition problem
  • time t
  • time 0
  • tardiness