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Inventory constrained scheduling on a single machine

Author

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  • Briskorn, Dirk
  • Choi, Byung-Cheon
  • Lee, Kangbok
  • Leung, Joseph
  • Pinedo, Michael

Abstract

This paper studies inventory constraints in a machine scheduling environment. Jobs can add and remove items of different types to the inventory and from the inventory, respectively. Jobs removing items cannot be processed if the required amount of items is not available. We first have a look at general models and determine the computational status of these problems. Since it turns out that general models are strongly NP-hard except for makespan minimization on one machine we have a look at special cases in the following. We determine the computational complexity of all considered special cases for objection functions ∑Cj and Lmax and several special cases for objective functions ∑wjCj and ∑Uj.

Suggested Citation

  • Briskorn, Dirk & Choi, Byung-Cheon & Lee, Kangbok & Leung, Joseph & Pinedo, Michael, 2008. "Inventory constrained scheduling on a single machine," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 640, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:640
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    References listed on IDEAS

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    1. Neumann, Klaus & Schwindt, Christoph & Trautmann, Norbert, 2005. "Scheduling of continuous and discontinuous material flows with intermediate storage restrictions," European Journal of Operational Research, Elsevier, vol. 165(2), pages 495-509, September.
    2. Refael Hassin, 1992. "Approximation Schemes for the Restricted Shortest Path Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 36-42, February.
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    1. Briskorn, Dirk & Choi, Byung-Cheon & Lee, Kangbok & Leung, Joseph & Pinedo, Michael, 2009. "Genetic algorithms for inventory constrained scheduling on a single machine," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 649, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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