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Order quantities for perishable inventory control with non-stationary demand and a fill rate constraint

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  • Pauls-Worm, Karin G.J.
  • Hendrix, Eligius M.T.
  • Alcoba, Alejandro G.
  • Haijema, René

Abstract

We study the practical decision problem of fresh food production with a long production lead time to decide every period (e.g. week) how many items to produce. When a batch is ready for use, its items have a fixed shelf life, after which the items become waste in the sense that they cannot be sold anymore. The demand for (fresh) food products is uncertain and highly fluctuating, mainly caused by price promotions of retail organisations. We focus on cases where a so-called cycle fill rate service level requirement applies. We investigate the generation of a production plan that fixes the timing and quantity of the production for a finite time horizon. To minimise waste, one issues the oldest items first, i.e. a FIFO issuing policy. In case of out-of-stock, sales are lost.

Suggested Citation

  • Pauls-Worm, Karin G.J. & Hendrix, Eligius M.T. & Alcoba, Alejandro G. & Haijema, René, 2016. "Order quantities for perishable inventory control with non-stationary demand and a fill rate constraint," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 238-246.
  • Handle: RePEc:eee:proeco:v:181:y:2016:i:pa:p:238-246
    DOI: 10.1016/j.ijpe.2015.10.009
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    1. Tarim, S. Armagan & Kingsman, Brian G., 2004. "The stochastic dynamic production/inventory lot-sizing problem with service-level constraints," International Journal of Production Economics, Elsevier, vol. 88(1), pages 105-119, March.
    2. van Donselaar, Karel & de Kok, Ton & Rutten, Werner, 1996. "Two replenishment strategies for the lost sales inventory model: A comparison," International Journal of Production Economics, Elsevier, vol. 46(1), pages 285-295, December.
    3. Tempelmeier, Horst & Herpers, Sascha, 2011. "Dynamic uncapacitated lot sizing with random demand under a fillrate constraint," European Journal of Operational Research, Elsevier, vol. 212(3), pages 497-507, August.
    4. Pauls-Worm, Karin G.J. & Hendrix, Eligius M.T. & Haijema, René & van der Vorst, Jack G.A.J., 2014. "An MILP approximation for ordering perishable products with non-stationary demand and service level constraints," International Journal of Production Economics, Elsevier, vol. 157(C), pages 133-146.
    5. James H. Bookbinder & Jin-Yan Tan, 1988. "Strategies for the Probabilistic Lot-Sizing Problem with Service-Level Constraints," Management Science, INFORMS, vol. 34(9), pages 1096-1108, September.
    6. Bijvank, Marco & Vis, Iris F.A., 2011. "Lost-sales inventory theory: A review," European Journal of Operational Research, Elsevier, vol. 215(1), pages 1-13, November.
    7. Haijema, René & van Dijk, Nico & van der Wal, Jan & Smit Sibinga, Cees, 2009. "Blood platelet production with breaks: optimization by SDP and simulation," International Journal of Production Economics, Elsevier, vol. 121(2), pages 464-473, October.
    8. Chen, Frank Y. & Krass, Dmitry, 2001. "Inventory models with minimal service level constraints," European Journal of Operational Research, Elsevier, vol. 134(1), pages 120-140, October.
    9. Tunc, Huseyin & Kilic, Onur A. & Tarim, S. Armagan & Eksioglu, Burak, 2011. "The cost of using stationary inventory policies when demand is non-stationary," Omega, Elsevier, vol. 39(4), pages 410-415, August.
    10. Tempelmeier, Horst, 2011. "A column generation heuristic for dynamic capacitated lot sizing with random demand under a fill rate constraint," Omega, Elsevier, vol. 39(6), pages 627-633, December.
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    Cited by:

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    5. Chua, Geoffrey A. & Mokhlesi, Reza & Sainathan, Arvind, 2017. "Optimal Discounting and Replenishment Policies for Perishable Products," International Journal of Production Economics, Elsevier, vol. 186(C), pages 8-20.
    6. Santos, Maria João & Martins, Sara & Amorim, Pedro & Almada-Lobo, Bernardo, 2022. "On the impact of adjusting the minimum life on receipt (MLOR) criterion in food supply chains," Omega, Elsevier, vol. 112(C).

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