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Stochastic inventory system with lead time flexibility: offered by a manufacturer/transporter

Author

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  • Metin Çakanyildirim

    (The University of Texas at Dallas)

  • Sirong Luo

    (Shanghai University of Finance and Economics)

Abstract

This paper studies lead time flexibility in a two-stage continuous review supply chain in which the retailer uses the (R, Q) inventory system: when his inventory position reaches R, the retailer places orders with size Q to the manufacturer, who uses a transportation provider to deliver them with different lead time options. According to the contract, the manufacturer is able to expedite or postpone the delivery if the retailer makes such a request. Hence, the retailer has the flexibility to modify the lead time by using the most up-to-date demand information. The optimal lead time policy is found to be a threshold-type policy. The sensitivity analysis also shows that R is much more sensitive to the change of lead time than Q, and thus, the paper is primarily focused on finding optimal R. We also provide a cost approximation which yields unimodal cost in R. Furthermore, we analyze the order crossing problem and derive an upper bound for the probability of order crossing. Finally, we conduct an extensive sensitivity analysis to illustrate the effects of lead time flexibility on supply chain performance and discuss the managerial insights.

Suggested Citation

  • Metin Çakanyildirim & Sirong Luo, 2017. "Stochastic inventory system with lead time flexibility: offered by a manufacturer/transporter," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1533-1552, December.
    • Handle: RePEc:pal:jorsoc:v:68:y:2017:i:12:d:10.1057_s41274-016-0172-5
    DOI: 10.1057/s41274-016-0172-5
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    References listed on IDEAS

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    1. Dawn Barnes-Schuster & Yehuda Bassok & Ravi Anupindi, 2002. "Coordination and Flexibility in Supply Contracts with Options," Manufacturing & Service Operations Management, INFORMS, vol. 4(3), pages 171-207, May.
    2. Suresh P. Sethi & Houmin Yan & Hanqin Zhang, 2003. "Inventory Models with Fixed Costs, Forecast Updates, and Two Delivery Modes," Operations Research, INFORMS, vol. 51(2), pages 321-328, April.
    3. Andy A. Tsay, 1999. "The Quantity Flexibility Contract and Supplier-Customer Incentives," Management Science, INFORMS, vol. 45(10), pages 1339-1358, October.
    4. Duran, Alfonso & Gutierrez, Gil & Zequeira, Romulo I., 2004. "A continuous review inventory model with order expediting," International Journal of Production Economics, Elsevier, vol. 87(2), pages 157-169, January.
    5. George Tagaras & Dimitrios Vlachos, 2001. "A Periodic Review Inventory System with Emergency Replenishments," Management Science, INFORMS, vol. 47(3), pages 415-429, March.
    6. Aditya Jain & Harry Groenevelt & Nils Rudi, 2010. "Continuous Review Inventory Model with Dynamic Choice of Two Freight Modes with Fixed Costs," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 120-139, August.
    7. Glock, C. H. & Ries, J. M., 2013. "Reducing lead-time risk through multiple sourcing: the case of stochastic demand and variable lead-time (angenommen)," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57810, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Tang, Christopher & Tomlin, Brian, 2008. "The power of flexibility for mitigating supply chain risks," International Journal of Production Economics, Elsevier, vol. 116(1), pages 12-27, November.
    9. Serfozo, Richard & Stidham, Shaler, 1978. "Semi-stationary clearing processes," Stochastic Processes and their Applications, Elsevier, vol. 6(2), pages 165-178, January.
    10. Disney, Stephen M. & Maltz, Arnold & Wang, Xun & Warburton, Roger D.H., 2016. "Inventory management for stochastic lead times with order crossovers," European Journal of Operational Research, Elsevier, vol. 248(2), pages 473-486.
    11. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    12. Marcello Braglia & Davide Castellano & Marco Frosolini, 2016. "A novel approach to safety stock management in a coordinated supply chain with controllable lead time using present value," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(1), pages 99-112, January.
    13. Yu-Sheng Zheng, 1992. "On Properties of Stochastic Inventory Systems," Management Science, INFORMS, vol. 38(1), pages 87-103, January.
    14. Lawrence W. Robinson & James R. Bradley & L. Joseph Thomas, 2001. "Consequences of Order Crossover Under Order-Up-To Inventory Policies," Manufacturing & Service Operations Management, INFORMS, vol. 3(3), pages 175-188, September.
    15. Yoichiro Fukuda, 1964. "Optimal Policies for the Inventory Problem with Negotiable Leadtime," Management Science, INFORMS, vol. 10(4), pages 690-708, July.
    16. Kamran Moinzadeh & Steven Nahmias, 1988. "A Continuous Review Model for an Inventory System with Two Supply Modes," Management Science, INFORMS, vol. 34(6), pages 761-773, June.
    17. Paul Zipkin, 1986. "Inventory Service-Level Measures: Convexity and Approximation," Management Science, INFORMS, vol. 32(8), pages 975-981, August.
    18. Merschmann, Ulf & Thonemann, Ulrich W., 2011. "Supply chain flexibility, uncertainty and firm performance: An empirical analysis of German manufacturing firms," International Journal of Production Economics, Elsevier, vol. 130(1), pages 43-53, March.
    19. Jing-Sheng Song, 1994. "The Effect of Leadtime Uncertainty in a Simple Stochastic Inventory Model," Management Science, INFORMS, vol. 40(5), pages 603-613, May.
    20. Eric Logan Huggins & Tava Lennon Olsen, 2003. "Supply Chain Management with Guaranteed Delivery," Management Science, INFORMS, vol. 49(9), pages 1154-1167, September.
    21. David G. Lawson & Evan L. Porteus, 2000. "Multistage Inventory Management with Expediting," Operations Research, INFORMS, vol. 48(6), pages 878-893, December.
    22. Kumar Muthuraman & Sridhar Seshadri & Qi Wu, 2015. "Inventory Management with Stochastic Lead Times," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 302-327, February.
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