Journal
APPLIED MATHEMATICAL MODELLING
Volume 36, Issue 10, Pages 5015-5028Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.12.039
Keywords
Inventory model; Perishable; Backlog; Inventory dependent demand
Funding
- Innovation Program of Shanghai Municipal Education Commission [09ZS39]
- National Natural Science Foundation of China [71002020, 70832005]
Ask authors/readers for more resources
This paper presents inventory models for perishable items with inventory level dependent demand rate. The models with and without backlogging are studied. In the backlogging model, it is assumed that the backlogging rate is dependent on the waiting time and the amount of products already backlogged simultaneously. Two cases that holding inventory is profitable or not are studied, respectively. The smallest shelf space to ensure shortage not occur when holding inventory is not profitable is obtained. In the model without backlogging, it is assumed that the remaining stock at the end of the inventory cycle is disposed of with salvage value. The necessary and sufficient conditions for the existence and uniqueness of the optimal solution of these models are investigated. At last, some numerical examples are presented to illustrate the effectiveness of the proposed model. The model in this paper is generalization of present ones. In particularly, the model is reduced to Padmanabhan and Vrat's when delta(1) = 0, and Dye and Ouyang's when delta(2) = 0. If S = s and delta(2) = 0, it is Chang, Goyal and Teng's model. (C) 2012 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available