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Journal of Applied Mathematics
Volume 2014, Article ID 747419, 10 pages
Research Article

An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging

School of Management, Shanghai University, Shanghai 200444, China

Received 7 November 2013; Revised 19 January 2014; Accepted 21 January 2014; Published 6 March 2014

Academic Editor: Nachamada Blamah

Copyright © 2014 Lianxia Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper studies an inventory model for Weibull-distributed deterioration items with trapezoidal type demand rate, in which shortages are allowed and partially backlogging depends on the waiting time for the next replenishment. The inventory models starting with no shortage is are to be discussed, and an optimal inventory replenishment policy of the model is proposed. Finally, numerical examples are provided to illustrate the theoretical results, and a sensitivity analysis of the major parameters with respect to the optimal solution is also carried out.