Abstract
We develop a game theoretic model of joint quality control in a single sourcing environment which integrates supplier and customer decisions. In this model, both parties behave strategically and take each other's incentives into account when deciding on their respective sampling plans. The specific sampling plans considered are of the “single sample fraction defective with rectifying inspection” type. A method to find the optimal sampling plans for both supplier and customer in two different informational setups is constructed. The resulting models lead to examination of Stackelberg and Nash equilibria. Numerical examples of such equilibria are presented, indicating how optimal strategies depend on the parameters of the problem.
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References
D.M. Lascelles and B.G. Dale, Examining the barriers to supplier development, in:Managing Quality, ed. B.G. Dale and J. Plunkett (Philip Allan, Oxford, 1990).
C. O'Neal, The buyer-seller linkage in a just-in-time environment, J. Purchasing Mater. Manag. 25(1989)34–40.
D.H. Besterfield,Quality Control, 3rd ed. (Prentice-Hall, London, 1990).
A.J. Duncan,Quality Control and Industrial Statistics, 4th ed. (Richard D. Irwin, London, 1974).
W.E. Deming,Out of the Crisis (M.I.T., Cambridge, MA, 1986).
A. Tomes, Implementing BS 5750 in small companies has its problems, OR Insight 2(1989)4–6.
H. Moskowitz and W.L. Berry, A Bayesian algorithm for determining optimal single sample acceptance plans for product attributes, Manag. Sci. 22(1976)1238–1250.
H.L. Lee and C.S. Tapiero, Quality control and the sales process, Naval Res. Logist. Quart. 33(1986)569–587.
E. Von Collani. Economic product control by routine testing of small samples, The Statistician 37(1988)333–341.
T Başar and G.J. Olsder,Dynamic Noncooperative Game Theory (Academic Press, London, 1982).
J.W. Friedman,Game Theory with Applications to Economics (Oxford University Press, Oxford, 1986)
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Reyniers, D.J. Supplier-customer interaction in quality control. Ann Oper Res 34, 307–330 (1992). https://doi.org/10.1007/BF02098184
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DOI: https://doi.org/10.1007/BF02098184