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Scheduling of inventory releasing jobs to satisfy time-varying demand

Listed author(s):
  • Nils Boysen


    (School of Economics and Business Administration, Friedrich-Schiller-University Jena)

  • Stefan Bock
  • Malte Fliedner


    (School of Economics and Business Administration, Friedrich-Schiller-University Jena)

This paper studies a new class of single-machine scheduling problems, that are faced by Just-in-Time-suppliers satisfying a given demand. In these models the processing of jobs leads to a release of a predefined number of product units into inventory. Consumption is triggered by predetermined time-varying, and product-specific demand requests. While all demands have to be fulfilled, the objective is to minimize the resulting product inventory. We investigate different subproblems of this general setting with regard to their computational complexity. For more restricted problem versions (equal processing times and equal number of released products) strongly polynomial time algorithms are presented. In contrast to this, NP-hardness in the strong sense is proven for more general problem versions (varying processing times or varying number of released products). Moreover, for the most general version, even finding a feasible solution is shown to be strongly NP-hard.

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Paper provided by Friedrich-Schiller-University Jena, School of Economics and Business Administration in its series Jena Research Papers in Business and Economics - Working and Discussion Papers with number 02/2011.

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Date of creation: 2011
Publication status: Published in: Journal of Scheduling 16/2 (2013), 185-198.
Handle: RePEc:jen:jenjbe:2011-02
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