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Influence of dispatching rules on average production lead time for multi-stage production systems

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  • Hübl, Alexander
  • Jodlbauer, Herbert
  • Altendorfer, Klaus

Abstract

In this paper the influence of different dispatching rules on the average production lead time is investigated. Two theorems based on covariance between processing time and production lead time are formulated and proved theoretically. Theorem 1 links the average production lead time to the “processing time weighted production lead time” for the multi-stage production systems analytically. The influence of different dispatching rules on average lead time, which is well known from simulation and empirical studies, can be proved theoretically in Theorem 2 for a single stage production system. A simulation study is conducted to gain more insight into the influence of dispatching rules on average production lead time in a multi-stage production system. We find that the “processing time weighted average production lead time” for a multi-stage production system is not invariant of the applied dispatching rule and can be used as a dispatching rule independent indicator for single-stage production systems.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:144:y:2013:i:2:p:479-484
    DOI: 10.1016/j.ijpe.2013.03.020
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    References listed on IDEAS

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    1. Kleijnen, Jack P. C., 1995. "Verification and validation of simulation models," European Journal of Operational Research, Elsevier, vol. 82(1), pages 145-162, April.
    2. El-Bouri, Ahmed & Balakrishnan, Subramaniam & Popplewell, Neil, 2008. "Cooperative dispatching for minimizing mean flowtime in a dynamic flowshop," International Journal of Production Economics, Elsevier, vol. 113(2), pages 819-833, June.
    3. Chen, Binchao & Matis, Timothy I., 2013. "A flexible dispatching rule for minimizing tardiness in job shop scheduling," International Journal of Production Economics, Elsevier, vol. 141(1), pages 360-365.
    4. Jodlbauer, Herbert & Stocher, Wolfgang, 2006. "Little's Law in a continuous setting," International Journal of Production Economics, Elsevier, vol. 103(1), pages 10-16, September.
    5. Jodlbauer, Herbert, 2005. "Definition and properties of the input-weighted average lead-time," European Journal of Operational Research, Elsevier, vol. 164(2), pages 354-357, July.
    6. Jacek Błażewicz & Klaus H. Ecker & Erwin Pesch & Günter Schmidt & Jan Węglarz, 2007. "Handbook on Scheduling," International Handbooks on Information Systems, Springer, number 978-3-540-32220-7, September.
    7. Rajendran, Chandrasekharan & Holthaus, Oliver, 1999. "A comparative study of dispatching rules in dynamic flowshops and jobshops," European Journal of Operational Research, Elsevier, vol. 116(1), pages 156-170, July.
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    Cited by:

    1. Tanja Mlinar & Philippe Chevalier, 2016. "Pooling heterogeneous products for manufacturing environments," 4OR, Springer, vol. 14(2), pages 173-200, June.
    2. 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.

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