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A hybrid binomial inverse hypergeometric probability distribution: Theory and applications

Author

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  • Jodlbauer, Herbert
  • Dehmer, Matthias
  • Strasser, Sonja

Abstract

In this paper, we define a novel probability distribution triggered by a due date setting problem from a multi-item single level production system. As a result, we derive a recurrence relation for the underlying distribution function and, finally, we also infer the novel discrete distribution function. We underpin our analytical findings by numerical results when computing the distribution function, the expected value as well as the variance. In order to apply and translate our apparatus to other problems, we come up with an application when determining due dates for a production system with sequence-dependent setup costs.

Suggested Citation

  • Jodlbauer, Herbert & Dehmer, Matthias & Strasser, Sonja, 2018. "A hybrid binomial inverse hypergeometric probability distribution: Theory and applications," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 44-54.
    • Handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:44-54
    DOI: 10.1016/j.amc.2018.05.063
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    References listed on IDEAS

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    1. Kamath B, Narasimha & Bhattacharya, Subir, 2007. "Lead time minimization of a multi-product, single-processor system: A comparison of cyclic policies," International Journal of Production Economics, Elsevier, vol. 106(1), pages 28-40, March.
    2. Hübl, Alexander & Jodlbauer, Herbert & Altendorfer, Klaus, 2013. "Influence of dispatching rules on average production lead time for multi-stage production systems," International Journal of Production Economics, Elsevier, vol. 144(2), pages 479-484.
    3. Jodlbauer, Herbert & Reitner, Sonja, 2012. "Optimizing service-level and relevant cost for a stochastic multi-item cyclic production system," International Journal of Production Economics, Elsevier, vol. 136(2), pages 306-317.
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