考虑一个按订单生产企业，其需求同时取决于价格和提前期。在企业内部，销售部门进行定价决策，生产部门则进行订货和提前期的决策。文中将生产及销售部门之间的相互作用表示成一个Nash博弈模型，并证明了纯策略均衡的存在性和唯一性。此外，提出了一个能够协调生产和销售部门决策的机制。最后，通过数值分析讨论了各参数对部门均衡决策的影响以及企业不需要运用协调机制的条件。
A make-to-oder firm which satisfies the demand that is dependent on both price and quoted leadtime is considered in this paper. The firm operates in the decentralized framework in which pricing decision is delegated to the marketing department and replenishment and leadtime quotation decisions are delegated to the production department. The interactions between marketing and production are modelled as a Nash game and the existence and uniqueness of the equilibrium decisions are demonstrated. A mechanism that enables the firm to coordinate the decisions of the two departments is developed. Moreover, extensive numerical studies are conducted to illustrate how the optimal/equilibrium decisions vary with different parameters and the situations under which the firm does not need to apply the complicated coordination mechanism are identified.
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