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J4  2010, Vol. 7 Issue (10): 1548-    DOI:
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The Model of Optimal Price and Delivery Lead Time with Capacity Expansion Cost
 CHEN Zong-Jian, XIONG Wei, CHEN Rong-Qiu
Huazhong University of Science & Technology,Wuhan,China

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Abstract  

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.

Key wordscapacity expansion cost      price      delivery lead time      law of trade-offs      time-based competition      substitution     
Received: 13 October 2009     
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CHEN Zong-Jian,XIONG Wei,CHEN Rong-Qiu. The Model of Optimal Price and Delivery Lead Time with Capacity Expansion Cost[J]. J4, 2010, 7(10): 1548-.
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http://manu68.magtech.com.cn/Jwk_glxb/EN/     OR     http://manu68.magtech.com.cn/Jwk_glxb/EN/Y2010/V7/I10/1548
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