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Issue:Optimization of EOQ model with space constraint: An intuitionistic fuzzy geometric programming approach

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Title of paper: Optimization of EOQ model with space constraint: An intuitionistic fuzzy geometric programming approach
Author(s):
Bappa Mondal
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India
bappa802@gmail.com
Arindam Garai
Department of Mathematics, Sonarpur Mahavidyalaya, Sonarpur, Kolkata-700149, West Bengal, India
fuzzy_arindam@yahoo.com
Tapan Kumar Roy
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India
roy_t_k@yahoo.co.in
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 172–189
DOI: https://doi.org/10.7546/nifs.2018.24.4.172-189
Download:  PDF (443 Kb  Kb, Info)
Abstract: In this paper, we present a deterministic single objective economic order quantity (EOQ) model with space constraint in intuitionistic fuzzy environment. Here we take variable limit production cost, time dependent holding cost into account. We propose intuitionistic fuzzy geometric programming by extending existing fuzzy geometric programming to solve non-linear optimization problems. Next, we minimize the total average cost (TAC) of proposed EOQ model by applying intuitionistic fuzzy geometric programming. We consider one numerical application to show that the optimal solution of the proposed model by intuitionistic fuzzy geometric programming is more preferable than that of crisp and fuzzy geometric programming. Also we perform sensitivity analysis of parameters and present key managerial insights. Finally, we draw the conclusions.
Keywords: Economic order quantity, Geometric programming, Intuitionistic fuzzy geometric programming, Max-additive operator, Shape parameter, Storage space
AMS Classification: 03E72, 90C30, 90C70.
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