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Apportionment methods and the Liu-Layland problem

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  • Józefowska, Joanna
  • Józefowski, Lukasz
  • Kubiak, Wieslaw

Abstract

The Liu-Layland periodic scheduling problem can be solved by the house monotone quota methods of apportionment. This paper shows that staying within the quota is necessary for any apportionment divisor method to solve this problem. As a consequence no divisor method, or equivalently no population monotone method, solves the Liu-Layland problem.

Suggested Citation

  • Józefowska, Joanna & Józefowski, Lukasz & Kubiak, Wieslaw, 2009. "Apportionment methods and the Liu-Layland problem," European Journal of Operational Research, Elsevier, vol. 193(3), pages 857-864, March.
  • Handle: RePEc:eee:ejores:v:193:y:2009:i:3:p:857-864
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    References listed on IDEAS

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    1. George Steiner & Scott Yeomans, 1993. "Level Schedules for Mixed-Model, Just-in-Time Processes," Management Science, INFORMS, vol. 39(6), pages 728-735, June.
    2. John Miltenburg, 1989. "Level Schedules for Mixed-Model Assembly Lines in Just-In-Time Production Systems," Management Science, INFORMS, vol. 35(2), pages 192-207, February.
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