Authors: Taleizadeh, Ata¹; Niaki, Seyed²; Aryanezhad, Mir-Bahador³; Tafti, Alireza⁴

Source: The International Journal of Advanced Manufacturing Technology, Volume 51, Numbers 1-4, November 2010 , pp. 311-323(13)

Publisher: Springer

Abstract:

There are two main assumptions in multiperiodic inventory control problems. The first is the continuous review, where, depending on the inventory level, orders can happen at any time, and the other is the periodic review, where orders can only happen at the beginning of each period. In this paper, these assumptions are relaxed, and the periods between two replenishments are assumed independent and identically distributed random variables. Furthermore, the decision variables are assumed integer-type and that there are two kinds of space and budget constraints. The incremental discounts to purchase products are considered, and a combination of backorder and lost sales are taken into account for the shortages. The model of this problem is shown to be a mixed integer-nonlinear programming type, and in order to solve it, both genetic algorithm and simulated annealing approaches are employed. At the end, two numerical examples are given to demonstrate the applicability of the proposed methodologies in which genetic algorithm method performs better than simulated annealing in terms of objective function values.

Keywords: Inventory control; Stochastic replenishment; Discount; Mixed integer-nonlinear programming; Genetic algorithms; Simulated annealing

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s00170-010-2604-8

Affiliations: 1: Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran, Email: ata.taleizadeh@gmail.com 2: Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran, Email: Niaki@Sharif.edu 3: Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran, Email: Mirarya@iust.ac.ir 4: Department of Industrial Engineering, Shahed University, Tehran, Iran, Email: fallah.ie@gmail.com

Publication date: 2010-11-01

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