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Influence of lot size and planned lead time on service level and inventory for a single-stage production system with advance demand information and random required lead times

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  • Altendorfer, Klaus

Abstract

In this paper a single-stage make-to-stock production system with advance demand information and random required lead times is investigated which produces different items with item specific lot sizes and planned lead times. Stochastic modeling is applied to investigate the influence of the interrelated planning parameters lot size and planned lead time on the key figures service level and inventory. The interrelation between the planning parameters is implemented with an endogenous production lead time distribution which depends on the lot size. Furthermore, both planning parameters lead to a pre-production on stock either anonymous (lot size) or of known customer orders (planned lead time). Most analytical studies in this field either focus on planned lead time optimization, assuming single item processing or predefined production order processing distribution, or on the optimization of production lot sizes, neglecting the planned lead time effect. The main contribution of this paper is that it provides a simultaneous treatment of these two planning parameters linked to an endogenous production lead time. Analytical results enable the numerical optimization of both planning parameters to reach a service level constraint with minimum overall inventory and can, e.g., be applied to discuss the effect of customer required lead time variance on optimal planning parameters. Numerical study results indicate that for moderate service level objectives, optimal lot sizes are near the production lead time minimizing lot size. Furthermore, the results show that higher lot sizes can reduce the service level for predefined planned lead time values.

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  • Altendorfer, Klaus, 2015. "Influence of lot size and planned lead time on service level and inventory for a single-stage production system with advance demand information and random required lead times," International Journal of Production Economics, Elsevier, vol. 170(PB), pages 478-488.
    • Handle: RePEc:eee:proeco:v:170:y:2015:i:pb:p:478-488
    DOI: 10.1016/j.ijpe.2015.07.030
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    References listed on IDEAS

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    1. Vaughan, Timothy S., 2006. "Lot size effects on process lead time, lead time demand, and safety stock," International Journal of Production Economics, Elsevier, vol. 100(1), pages 1-9, March.
    2. Karmarkar, Uday S. & Kekre, Sham & Kekre, Sunder, 1992. "Multi-item batching heuristics for minimization of queueing delays," European Journal of Operational Research, Elsevier, vol. 58(1), pages 99-111, April.
    3. Ward Whitt, 1982. "Approximating a Point Process by a Renewal Process, I: Two Basic Methods," Operations Research, INFORMS, vol. 30(1), pages 125-147, February.
    4. J. A. Buzacott & J. G. Shanthikumar, 1994. "Safety Stock versus Safety Time in MRP Controlled Production Systems," Management Science, INFORMS, vol. 40(12), pages 1678-1689, December.
    5. Kuik, Roelof & Tielemans, Peter F. J., 1999. "Lead-time variability in a homogeneous queueing model of batching," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 435-441, March.
    6. Candace Arai Yano, 1987. "Setting Planned Leadtimes in Serial Production Systems with Tardiness Costs," Management Science, INFORMS, vol. 33(1), pages 95-106, January.
    7. Uday S. Karmarkar, 1987. "Lot Sizes, Lead Times and In-Process Inventories," Management Science, INFORMS, vol. 33(3), pages 409-418, March.
    8. Kuik, Roelof & Salomon, Marc & van Wassenhove, Luk N., 1994. "Batching decisions: structure and models," European Journal of Operational Research, Elsevier, vol. 75(2), pages 243-263, June.
    9. Lambrecht, Marc R. & Vandaele, Nico J., 1996. "A general approximation for the single product lot sizing model with queueing delays," European Journal of Operational Research, Elsevier, vol. 95(1), pages 73-88, November.
    10. Louly, Mohamed-Aly & Dolgui, Alexandre, 2013. "Optimal MRP parameters for a single item inventory with random replenishment lead time, POQ policy and service level constraint," International Journal of Production Economics, Elsevier, vol. 143(1), pages 35-40.
    11. Altendorfer, Klaus & Minner, Stefan, 2011. "Simultaneous optimization of capacity and planned lead time in a two-stage production system with different customer due dates," European Journal of Operational Research, Elsevier, vol. 213(1), pages 134-146, August.
    12. Lambrecht, Marc R. & Chen, Shaoxiang & Vandaele, Nico J., 1996. "A lot sizing model with queueing delays: The issue of safety time," European Journal of Operational Research, Elsevier, vol. 89(2), pages 269-276, March.
    13. Karimi, B. & Fatemi Ghomi, S. M. T. & Wilson, J. M., 2003. "The capacitated lot sizing problem: a review of models and algorithms," Omega, Elsevier, vol. 31(5), pages 365-378, October.
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    Cited by:

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    2. Karumbathil Rasmi & Machuveettil Joseph Jacob & Alexander S. Rumyantsev & Achyutha Krishnamoorthy, 2021. "A Multi-Server Heterogeneous Queuing-Inventory System with Class-Dependent Inventory Access," Mathematics, MDPI, vol. 9(9), pages 1-23, May.
    3. Tanja Mlinar & Philippe Chevalier, 2016. "Pooling heterogeneous products for manufacturing environments," 4OR, Springer, vol. 14(2), pages 173-200, June.

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