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Abstract
This article develops a deterministic inventory model for perishable items with stock-dependent selling rate. In the model, the unsatisfied demand is partial backlogged and the backlogged demand rate is dependent on the negative inventory level during the stock-out period. Furthermore, a ceiling is imposed on the number of on-display stocks because too much inventory leaves a negative impression on the buyer and the amount of shelf space is limited. Next, the existence and uniqueness of the solution to the problem under two cases are examined, respectively. Then a solution procedure is shown to find the optimal replenishment policy of the considered problem. At last, two numerical examples and a real case study are presented to illustrate the application of the developed model.
Acknowledgements
The authors greatly appreciate the Editor, Associate Editor and Referees for their valuable and helpful suggestions regarding the earlier version of the article. The research has been supported by the Natural Science Foundation of China (70771034); Program for New Century Excellent Talents in University (NCET-05-0557); A Foundation for the Author of National Excellent Doctoral Dissertation of PR China (200565); The PhD Programs Foundation of Ministry of Education of China (20060359007) and the Innovation Foundation of Scientific and Technology in Hefei University of Technology (py200614).