From an industry and organization point of view, this paper considers the assembly systems with one assembler and multi-manufacturer under a revenue-sharing contract in a fuzzy environment which will contribute new insights to the engineering management. Market demand and assembler’s assemble capacity are characterized as fuzzy variables, respectively. Game theory is used to analyze the behavior of the members in the assembly systems. Both non-cooperative game and cooperative game models between the assembler and manufacturers are constructed. The coalition optimal solution of cooperative game model is obtained. The property of the contract is proved. Finally, the two kinds of settings are compared. The conclusion proposed is convenient to refer by the decision maker in engineering management.

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