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Customer differentiated end-of-life inventory problem


  • Pourakbar, Morteza
  • Dekker, Rommert


This paper deals with the service parts end-of-life inventory problem in a circumstance that demands for service parts are differentiated. Customer differentiation might be due to criticality of the demand or based on various service contracts. In both cases, we model the problem as a finite horizon stochastic dynamic program and characterize the structure of the optimal inventory policy. We show that when customers are differentiated based on the demand criticality then the optimal structure consists of time and state dependent threshold levels for inventory rationing. In case of differentiation based on service contracts, we show that in addition to rationing thresholds we also need contract extension thresholds by which the system decides whether to offer an extension to an expiring contract or not. By numerical experiments in both cases, we identify the value of incorporating such decisions in service parts end-of-life inventory management with customer differentiation. Moreover, we show that these decisions not only result in cost efficiency but also decrease the risk of part obsolescence drastically.

Suggested Citation

  • Pourakbar, Morteza & Dekker, Rommert, 2012. "Customer differentiated end-of-life inventory problem," European Journal of Operational Research, Elsevier, vol. 222(1), pages 44-53.
  • Handle: RePEc:eee:ejores:v:222:y:2012:i:1:p:44-53
    DOI: 10.1016/j.ejor.2012.03.034

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    References listed on IDEAS

    1. Teunter, Ruud H. & Klein Haneveld, Willem K., 2002. "Inventory control of service parts in the final phase," European Journal of Operational Research, Elsevier, vol. 137(3), pages 497-511, March.
    2. FadIloglu, Mehmet Murat & Bulut, Önder, 2010. "A dynamic rationing policy for continuous-review inventory systems," European Journal of Operational Research, Elsevier, vol. 202(3), pages 675-685, May.
    3. Ritchie, E. & Wilcox, P., 1977. "Renewal theory forecasting for stock control," European Journal of Operational Research, Elsevier, vol. 1(2), pages 90-93, March.
    4. M. Pourakbar & E. Laan & R. Dekker, 2014. "End-of-Life Inventory Problem with Phaseout Returns," Production and Operations Management, Production and Operations Management Society, vol. 23(9), pages 1561-1576, September.
    5. Krikke, H.R. & van der Laan, E., 2009. "Last Time Buy and Control Policies With Phase-Out Returns : A Case Study in Plant Control Systems," Discussion Paper 2009-66, Tilburg University, Center for Economic Research.
    6. Teunter, Ruud H. & Klein Haneveld, Willem K., 2008. "Dynamic inventory rationing strategies for inventory systems with two demand classes, Poisson demand and backordering," European Journal of Operational Research, Elsevier, vol. 190(1), pages 156-178, October.
    7. Pourakbar, M. & Frenk, J.B.G. & Dekker, R., 2010. "End-of-Life Inventory Decisions for Consumer Electronics Service Parts," Econometric Institute Research Papers EI 2009-48, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    8. Dekker, R. & Kleijn, M. J. & de Rooij, P. J., 1998. "A spare parts stocking policy based on equipment criticality," International Journal of Production Economics, Elsevier, vol. 56(1), pages 69-77, September.
    9. Francis de Véricourt & Fikri Karaesmen & Yves Dallery, 2002. "Optimal Stock Allocation for a Capacitated Supply System," Management Science, INFORMS, vol. 48(11), pages 1486-1501, November.
    10. Teunter, Ruud H. & Fortuin, Leonard, 1999. "End-of-life service," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 487-497, March.
    11. Donald M. Topkis, 1968. "Optimal Ordering and Rationing Policies in a Nonstationary Dynamic Inventory Model with n Demand Classes," Management Science, INFORMS, vol. 15(3), pages 160-176, November.
    12. Vinayak Deshpande & Morris A. Cohen & Karen Donohue, 2003. "A Threshold Inventory Rationing Policy for Service-Differentiated Demand Classes," Management Science, INFORMS, vol. 49(6), pages 683-703, June.
    13. Cattani, Kyle D. & Souza, Gilvan C., 2003. "Good buy? Delaying end-of-life purchases," European Journal of Operational Research, Elsevier, vol. 146(1), pages 216-228, April.
    14. Teunter, Ruud H. & Fortuin, Leonard, 1998. "End-of-life service: A case study," European Journal of Operational Research, Elsevier, vol. 107(1), pages 19-34, May.
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    Cited by:

    1. Roni, Mohammad S. & Eksioglu, Sandra D. & Jin, Mingzhou & Mamun, Saleh, 2016. "A hybrid inventory policy with split delivery under regular and surge demand," International Journal of Production Economics, Elsevier, vol. 172(C), pages 126-136.
    2. Shen, Yuelin & Willems, Sean P., 2014. "Modeling sourcing strategies to mitigate part obsolescence," European Journal of Operational Research, Elsevier, vol. 236(2), pages 522-533.
    3. repec:eee:reensy:v:156:y:2016:i:c:p:40-50 is not listed on IDEAS
    4. Roni, Mohammad S. & Jin, Mingzhou & Eksioglu, Sandra D., 2015. "A hybrid inventory management system responding to regular demand and surge demand," Omega, Elsevier, vol. 52(C), pages 190-200.
    5. Benedikt Schulte & Richard Pibernik, 2016. "Service differentiation in a single-period inventory model with numerous customer classes," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 921-948, October.
    6. repec:eee:ejores:v:266:y:2018:i:2:p:395-414 is not listed on IDEAS


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