Multi-product multi-chance-constraint stochastic inventory control problem with dynamic demand and partial back-ordering: A harmony search algorithm |
| |
Authors: | Ata Allah Taleizadeh Seyed Taghi Akhavan Niaki Seyed Mohammad Haji Seyedjavadi |
| |
Affiliation: | 1. Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran;2. Department of Industrial Engineering, Sharif University of Technology, P.O. Box 11155-9414 Azadi Ave, Tehran 1458889694, Iran;3. Department of Computer Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran |
| |
Abstract: | In this paper, a multiproduct inventory control problem is considered in which the periods between two replenishments of the products are assumed independent random variables, and increasing and decreasing functions are assumed to model the dynamic demands of each product. Furthermore, the quantities of the orders are assumed integer-type, space and budget are constraints, the service-level is a chance-constraint, and that the partial back-ordering policy is taken into account for the shortages. The costs of the problem are holding, purchasing, and shortage. We show the model of this problem is an integer nonlinear programming type and to solve it, a harmony search approach is used. At the end, three numerical examples of different sizes are given to demonstrate the applicability of the proposed methodology in real world inventory control problems, to validate the results obtained, and to compare its performances with the ones of both a genetic and a particle swarm optimization algorithms. |
| |
Keywords: | Inventory control Multi-product multi-constraint Dynamic demand Stochastic replenishment Partial back-ordering Harmony search algorithm |
本文献已被 ScienceDirect 等数据库收录! |
|