考虑产能扩大成本的价格与交付提前期优化模型  

The Model of Optimal Price and Delivery Lead Time with Capacity Expansion Cost

作　　者：陈宗建[1] 熊伟[1] 陈荣秋[1] 

机构地区：[1]华中科技大学管理学院

出　　处：《管理学报》2010年第10期1548-1552,共5页Chinese Journal of Management

基　　金：国家自然科学基金重点资助项目(70332001)

摘　　要：针对价格、时间敏感需求,且在基于时间竞争的市场上存在产品间的替代性,考虑产能扩大成本的制约,构建了相关决策模型。根据权衡定律对模型进行了最优性分析,分别求出以交付提前期或价格为主导的最优竞争策略,结果表明交付提前期主导下的最优价格随着交付提前期的缩短而有较大的提高,价格主导下的最优交付提前期与价格的算术平方根成反比。分析了净收益和产能之间的关系,证明考虑产能扩大成本后存在最优的产能规模,并结合算例,得出一些有益的结论。Considering a firm where demand is sensitive to delivery lead time and price and whose product competes with the alternative products in the market,the paper develops a model that integrates pricing and delivery lead time decisions constrained by capacity expansion cost.Under the law of trade offs,we propose the optimal solutions with delivery lead time as the leader and price as the leader,respectively.It is shown that the optimal price represents a bigger increase with the reduction of delivery lead time,while the optimal delivery lead time is inversely proportional to the square root of price.Our analysis highlights the relation between net income and capacity,as well as the optimal capacity level with capacity expansion cost.A numerical example is given to illustrate some helpful results.

关 键 词：产能扩大成本 价格 权衡定律 交付提前期 基于时间的竞争 替代 

分 类 号：C93[经济管理—管理学] F273