Abstract
This paper investigates a novel quantitative approach for planning and contracting performance-based logistics in the presence of uncertain system usage. Our efforts focus on an integrated service delivery environment where the manufacturer develops capital-intensive systems and also provides after-sales support. We propose an analytical model to characterize system operational availability by comprehending five performance drivers: inherent failure rate, usage rate, spare parts inventory, repair time, and the fleet size. This analytical insight into the system performance allows the service supplier to minimize the total cost across system design, production, maintenance, and repair. Two contracting schemes are investigated under cost minimization and profit maximization schemes. For the first time in literature, reliability design and service parts logistics are seamlessly integrated into one decision support model for improving operational availability while lowering the lifecycle cost. Numerical examples are provided to demonstrate the applicability and the effectiveness of the proposed decision support tool.
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References
Axsäter S (1990). Modelling emergency lateral transshipments in inventory systems. Management Science 36 (11): 1329–1338.
Cochran JK and Lewis TP (2002). Computing small-fleet aircraft availabilities including redundancy and spares. Computers and Operations Research 29 (5): 529–540.
Coit DW, Jin T and Wattanapongsakorn N (2004). System optimization considering component reliability estimation uncertainty: A multi-criteria approach. IEEE Transactions on Reliability 53 (3): 369–380.
Elsayed EA (1996). Reliability Engineering. Chapter 9, Addison Wesley Longman Publisher: Reading, MA.
Graves SC (1985). A multi-echelon inventory model for a repairable item with one-for-one replenishment. Management Science 31 (10): 1247–1256.
Gupta OK and Ravindran A (1985). Branch and bound experiments in convex nonlinear integer programming. Management Science 31 (12): 1533–1546.
Huang H-Z, Liu HJ and Murthy DNP (2007). Optimal reliability, warranty and price for new products. IIE Transactions 39 (8): 819–827.
Jin T and Liao H (2009). Spare parts inventory control considering stochastic growth of an installed base. Computers & Industrial Engineering 56 (1): 452–460.
Kang K and McDonald M (2010). Impact of logistics on readiness and life cycle cost: A design of experiments approach. In: S. Johansson, J. Montoya-Torres, J. Hugan, and E. Yücesan(eds.) Proceedings of Winter Simulation Conference, IEEE Xplore database, pp 1336–1346.
Kim SH, Cohen MA and Netessine S (2007). Performance contracting in after-sales service supply chains. Management Science 53 (12): 1843–1858.
Kim SH, Cohen MA and Netessine S (2010). Reliability or inventory? Analysis of product support contracts in the defense industry. Working Paper, Yale University, www.som.yale.edu/faculty/sangkim/ReliabilityInventory.pdf, accessed 8 January 2011.
Kuo W and Wan R (2007). Recent advances in optimal reliability allocation. IEEE Transactions on Systems, Man, and Cybernetics 37 (2): 143–156.
Lee HL (1987). A multi-echelon inventory model for repairable items with emergency lateral transshipments. Management Science 33 (10): 1302–1316.
Loerch AG (1999). Incorporating learning curve costs in acquisition strategy optimization. Naval Research Logistics 46: 255–271.
Marseguerra M, Zio E and Podofillini L (2005). Multiobjective spare part allocation by means of genetic algorithms and Monte Carlo simulations. Reliability Engineering and System Safety 87 (3): 325–335.
Mettas A (2000). Reliability allocation and optimization for complex systems. Proceedings of Reliability and Maintainability Symposium. IEEE Xplore database, pp. 216–221.
Moreno FJ (1990). MTBF warranty/guarantee for multiple user avionics. Proceedings of Annual Reliability and Maintainability Symposium, IEEE Xplore database, pp 113–119.
Muckstadt JA (1973). A model for a multi-item, multi-echelon, multi-indenture inventory system. Management Science 20 (4): 472–481.
Nowicki D, Kumar UD, Steudel HJ and Verma D (2008). Spares provisioning under performance-based logistics contract: Profit-centric approach. The Journal of the Operational Research Society 59 (3): 342–352.
Oliva R and Kallenberg R (2003). Managing the transition from products to services. International Journal of Service Industry Management 14 (2): 160–172.
Öner KB, Kiesmüller GP and van Houtum GJ (2010). Optimization of component reliability in the design phase of capital goods. European Journal of Operational Research 205 (3): 615–624.
Randall WS, Pohlen TL and Hanna JB (2010). Evolving a theory of performance-based logistics using insights from service dominant logic. Journal of Business Logistics 31 (2): 35–62.
Richardson D and Jacopino A (2006). Use of R&M measures in Australian defense aerospace performance based contracts. Proceedings of Reliability and Maintainability Symposium, IEEE Xplore database, pp 331–336.
Sherbrooke CC (1968). METRIC: A multi-echelon technique for recoverable item control. Operations Research 16 (1): 122–141.
Sherbrooke CC (1992). Multiechelon inventory systems with lateral supply. Naval Research Logistics 39 (1): 29–40.
Telcordia Technologies (2001). Special Report SR-332: Reliability Prediction Procedure for Electronic Equipment (Issue 1). Telcordia Customer Service: Piscataway, New Jersey.
US Department of Defense (2005). DoD guide for achieving reliability, availability, and maintainability. US Department of Defense, Washington, DC, http://www.acq.osd.mil/dte/docs/RAM_Guide_080305.pdf, accessed 22 November 2011.
Wise R and Baumgartner P (1999). Go downstream: The new imperative in manufacturing. Harvard Business Review 77 (5): 133–141.
Wong H, van Houtum GJ, Cattrysse D and van Oudheusden D (2006). Multi-item spare parts systems with lateral transshipments and waiting time constraints. European Journal of Operational Research 171 (3): 1071–1093.
Yeh W-C and Lin C-H (2009). A squeeze response surface methodology for finding symbolic network reliability functions. IEEE Transactions on Reliability 58 (2): 374–382.
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Jin, T., Wang, P. Planning performance based contracts considering reliability and uncertain system usage. J Oper Res Soc 63, 1467–1478 (2012). https://doi.org/10.1057/jors.2011.144
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DOI: https://doi.org/10.1057/jors.2011.144