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Optimal time phasing and periodicity for MRP with POQ policy

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  • Louly, Mohamed-Aly
  • Dolgui, Alexandre

Abstract

This paper deals with component supply planning for assembly systems where several types of components are ordered from external suppliers to produce a single type of finished product. Actual component lead times are often different from those contracted because of random delays. An MRP approach with periodic order quantity (POQ) policy is used for the supply planning of components. Our aim is to find the optimal values of the order periodicity and planned lead times at the offsetting step of the MRP procedure. The goal is to minimise the sum of the average component holding, finished product backlogging and setup costs. Several theoretical properties of the objective function are proven and an efficient optimization algorithm is developed. The proofs of the explicit form and properties of the objective function as well as the development of the optimization algorithm occupy a large portion of this paper. The method developed can be used for the optimization of time phasing and periodicity for such an MRP system under lead time uncertainties.

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  • Louly, Mohamed-Aly & Dolgui, Alexandre, 2011. "Optimal time phasing and periodicity for MRP with POQ policy," International Journal of Production Economics, Elsevier, vol. 131(1), pages 76-86, May.
    • Handle: RePEc:eee:proeco:v:131:y:2011:i:1:p:76-86
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    1. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    2. Fujiwara, Okitsugu & Sedarage, Dayani, 1997. "An optimal (Q,r) policy for a multipart assembly system under stochastic part procurement lead times," European Journal of Operational Research, Elsevier, vol. 100(3), pages 550-556, August.
    3. Bookbinder, James H. & Cakanyildirim, Metin, 1999. "Random lead times and expedited orders in (Q,r) inventory systems," European Journal of Operational Research, Elsevier, vol. 115(2), pages 300-313, June.
    4. Chauhan, Satyaveer S. & Dolgui, Alexandre & Proth, Jean-Marie, 2009. "A continuous model for supply planning of assembly systems with stochastic component procurement times," International Journal of Production Economics, Elsevier, vol. 120(2), pages 411-417, August.
    5. Riezebos, Jan, 2006. "Inventory order crossovers," International Journal of Production Economics, Elsevier, vol. 104(2), pages 666-675, December.
    6. Liberopoulos, George & Tsikis, Isidoros & Delikouras, Stefanos, 2010. "Backorder penalty cost coefficient "b": What could it be?," International Journal of Production Economics, Elsevier, vol. 123(1), pages 166-178, January.
    7. Robert S. Kaplan, 1970. "A Dynamic Inventory Model with Stochastic Lead Times," Management Science, INFORMS, vol. 16(7), pages 491-507, March.
    8. Xin X. He & Susan H. Xu & J. Keith Ord & Jack C. Hayya, 1998. "An Inventory Model with Order Crossover," Operations Research, INFORMS, vol. 46(3-supplem), pages 112-119, June.
    9. Dolgui, Alexandre & Ould-Louly, Mohamed-Aly, 2002. "A model for supply planning under lead time uncertainty," International Journal of Production Economics, Elsevier, vol. 78(2), pages 145-152, July.
    10. Tang, Ou & Grubbstrom, Robert W. & Zanoni, Simone, 2007. "Planned lead time determination in a make-to-order remanufacturing system," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 426-435, July.
    11. Purushottaman Nandakumar & Thomas E. Morton, 1993. "Near Myopic Heuristics for the Fixed-Life Perishability Problem," Management Science, INFORMS, vol. 39(12), pages 1490-1498, December.
    12. Tang, Ou & Grubbstrom, Robert W., 2005. "Considering stochastic lead times in a manufacturing/remanufacturing system with deterministic demands and returns," International Journal of Production Economics, Elsevier, vol. 93(1), pages 285-300, January.
    13. Tang, Ou & Grubbstrom, Robert W., 2003. "The detailed coordination problem in a two-level assembly system with stochastic lead times," International Journal of Production Economics, Elsevier, vol. 81(1), pages 415-429, January.
    14. Louly, Mohamed-Aly & Dolgui, Alexandre & Hnaien, Faicel, 2008. "Supply planning for single-level assembly system with stochastic component delivery times and service-level constraint," International Journal of Production Economics, Elsevier, vol. 115(1), pages 236-247, September.
    15. Ould-Louly, Mohamed-Aly & Dolgui, Alexandre, 2004. "The MPS parameterization under lead time uncertainty," International Journal of Production Economics, Elsevier, vol. 90(3), pages 369-376, August.
    16. Wilhelm, W. E. & Som, Pradip, 1998. "Analysis of a single-stage, single-product, stochastic, MRP-controlled assembly system," European Journal of Operational Research, Elsevier, vol. 108(1), pages 74-93, July.
    17. Mula, J. & Poler, R. & Garcia-Sabater, J.P. & Lario, F.C., 2006. "Models for production planning under uncertainty: A review," International Journal of Production Economics, Elsevier, vol. 103(1), pages 271-285, September.
    18. Candace Arai Yano, 1987. "Setting Planned Leadtimes in Serial Production Systems with Tardiness Costs," Management Science, INFORMS, vol. 33(1), pages 95-106, January.
    19. van Donselaar, K. H. & Gubbels, B. J., 2002. "How to release orders in order to minimise system inventory and system nervousness?," International Journal of Production Economics, Elsevier, vol. 78(3), pages 335-343, August.
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    1. Faicel Hnaien & Alexandre Dolgui & Desheng Dash Wu, 2016. "Single-period inventory model for one-level assembly system with stochastic lead times and demand," International Journal of Production Research, Taylor & Francis Journals, vol. 54(1), pages 186-203, January.
    2. Manuel Díaz-Madroñero & Josefa Mula & Mariano Jiménez & David Peidro, 2017. "A rolling horizon approach for material requirement planning under fuzzy lead times," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2197-2211, April.

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