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Growing Science » International Journal of Industrial Engineering Computations » A two warehouse deterministic inventory model for deteriorating items with a linear trend in time dependent demand over finite time horizon by Elitist Real-Coded Genetic Algorithm

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International Journal of Industrial Engineering Computations

ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print)
Quarterly Publication
Volume 4 Issue 2 pp. 241-258 , 2013

A two warehouse deterministic inventory model for deteriorating items with a linear trend in time dependent demand over finite time horizon by Elitist Real-Coded Genetic Algorithm Pages 241-258 Right click to download the paper Download PDF

Authors: A.K. Bhunia, Ali Akbar Shaikh, A.K. Maiti, M. Maiti

DOI: 10.5267/j.ijiec.2013.01.004

Keywords: Deterioration, Finite time horizon, Genetic algorithm, Inventory management, Partial backlogging, Two-storage

Abstract: This paper deals with a deterministic inventory model developed for deteriorating items having two separate storage facilities (owned and rented warehouses) due to limited capacity of the existing storage (owned warehouse) with linear time dependent demand (increasing) over a fixed finite time horizon. The model is formulated with infinite replenishment and the successive replenishment cycle lengths are in arithmetic progression. Partially backlogged shortages are allowed. The stocks of rented warehouse (RW) are transported to the owned warehouse (OW) in continuous release pattern. For this purpose, the model is formulated as a constrained non-linear mixed integer programming problem. For solving the problem, an advanced genetic algorithm (GA) has been developed. This advanced GA is based on ranking selection, elitism, whole arithmetic crossover and non-uniform mutation dependent on the age of the population. Our objective is to determine the optimal replenishment number, lot-size of two-warehouses (OW and RW) by maximizing the profit function. The model is illustrated with four numerical examples and sensitivity analyses of the optimal solution are performed with respect to different parameters.

How to cite this paper
Bhunia, A., Shaikh, A., Maiti, A & Maiti, M. (2013). A two warehouse deterministic inventory model for deteriorating items with a linear trend in time dependent demand over finite time horizon by Elitist Real-Coded Genetic Algorithm.International Journal of Industrial Engineering Computations , 4(2), 241-258.

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Journal: International Journal of Industrial Engineering Computations | Year: 2013 | Volume: 4 | Issue: 2 | Views: 3201 | Reviews: 0

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