Abstract
Solutions to quality control by lot sampling through the game theory approach are presented, and the results are compared with those obtained by the classical statistical method. Single and double plans are considered and modeled as two-person zero-sum games, and optimal solutions are found. Most of the solutions are reminiscent of known statistical results and reinforce them by adding new features.
References
J. Banks,Principles of Quality Control (Wiley, New York, 1989).
L. Barak and C. Braester, Searching for fractures in a fracture network—A game theory approach,Physica A 179:311 (1991).
Dale H. Besterfield,Quality Control (Prentice-Hall, Englewood Cliffs, New Jersey, 1986).
C. Braester and L. Barak, Searching for a fracture as a two-person zero-sum game,Physica A 175:1 (1991).
A. J. Jones,Games Theory: Mathematical Models of Conflict (Ellis Horwood, 1980).
A. Rapoport,Théorie des jeux à deux personnes (Dunod, Paris, 1969).
A. C. Rosander,Applications of Quality Control in the Service Industries (ASQC Quality Press, 1985).
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Communicated by D. Stauffer
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Barak, L., Braester, C. Mathematical games and sampling inspection plans. J Stat Phys 79, 775–787 (1995). https://doi.org/10.1007/BF02184884
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DOI: https://doi.org/10.1007/BF02184884