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Single machine scheduling and due date assignment with positionally dependent processing times


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  • Gordon, Valery S.
  • Strusevich, Vitaly A.
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    We consider single machine scheduling and due date assignment problems in which the processing time of a job depends on its position in a processing sequence. The objective functions include the cost of changing the due dates, the total cost of discarded jobs that cannot be completed by their due dates and, possibly, the total earliness of the scheduled jobs. We present polynomial-time dynamic programming algorithms in the case of two popular due date assignment methods: CON and SLK. The considered problems are related to mathematical models of cooperation between the manufacturer and the customer in supply chain scheduling.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 198 (2009)
    Issue (Month): 1 (October)
    Pages: 57-62

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    Handle: RePEc:eee:ejores:v:198:y:2009:i:1:p:57-62

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    Keywords: Single machine scheduling Common due date assignment SLK due date assignment Positionally dependent processing times;


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    Cited by:
    1. Grundel, S. & Ciftci, B.B. & Borm, P.E.M. & Hamers, H.J.M., 2012. "Family Sequencing and Cooperation," Discussion Paper 2012-040, Tilburg University, Center for Economic Research.
    2. Vinod, V. & Sridharan, R., 2011. "Simulation modeling and analysis of due-date assignment methods and scheduling decision rules in a dynamic job shop production system," International Journal of Production Economics, Elsevier, vol. 129(1), pages 127-146, January.
    3. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Simple matching vs linear assignment in scheduling models with positional effects: A critical review," European Journal of Operational Research, Elsevier, vol. 222(3), pages 393-407.
    4. Li, Shisheng & Ng, C.T. & Yuan, Jinjiang, 2011. "Scheduling deteriorating jobs with CON/SLK due date assignment on a single machine," International Journal of Production Economics, Elsevier, vol. 131(2), pages 747-751, June.
    5. Slotnick, Susan A., 2011. "Order acceptance and scheduling: A taxonomy and review," European Journal of Operational Research, Elsevier, vol. 212(1), pages 1-11, July.


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