Article: Optimal inventory management system for deteriorating items with linear demand, shortages and partial backlogging in a triangular fuzzy setup Journal: International Journal of Services and Operations Management (IJSOM) 2021 Vol.39 No.1 pp.98 - 120 Abstract: In the present communication, we have proposed an optimal inventory management system for deteriorating items with linear demand, shortages, variable rate of deterioration and partial backlogging in the fuzzy environment. In real life situations, we certainly face the uncertainty component associated with the different parameters such as demand, raw materials supply, various other inventory costs, rate of deterioration, etc. Uncertainty theory in fuzzy terms has been found to be a useful methodology to describe the inherent subjective indeterminacy. The objective of the present work is to optimise the total average cost function by taking triangular fuzzy numbers into account. The defuzzification methods viz. graded mean, signed distance and centroid have been applied to obtain the results of the proposed model. For a detailed illustration of the proposed model, an example of inventory model has been considered and solved in view of the parameters involved. Further, the sensitivity analysis with respect to the various influencing parameters have been presented with the help of some graphical representations. The paper is finally concluded with a scope for the possible future work. Inderscience Publishers - linking academia, business and industry through research

Title: Optimal inventory management system for deteriorating items with linear demand, shortages and partial backlogging in a triangular fuzzy setup

Authors: Saurabh Srivastava; Rakesh Kumar Bajaj

Addresses: Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Pin-173 234, HP, India ' Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Pin-173 234, HP, India

Abstract: In the present communication, we have proposed an optimal inventory management system for deteriorating items with linear demand, shortages, variable rate of deterioration and partial backlogging in the fuzzy environment. In real life situations, we certainly face the uncertainty component associated with the different parameters such as demand, raw materials supply, various other inventory costs, rate of deterioration, etc. Uncertainty theory in fuzzy terms has been found to be a useful methodology to describe the inherent subjective indeterminacy. The objective of the present work is to optimise the total average cost function by taking triangular fuzzy numbers into account. The defuzzification methods viz. graded mean, signed distance and centroid have been applied to obtain the results of the proposed model. For a detailed illustration of the proposed model, an example of inventory model has been considered and solved in view of the parameters involved. Further, the sensitivity analysis with respect to the various influencing parameters have been presented with the help of some graphical representations. The paper is finally concluded with a scope for the possible future work.

Keywords: inventory; deteriorating items; shortages; partial backlogging; triangular fuzzy numbers; TFN; defuzzification.

DOI: 10.1504/IJSOM.2021.115187

International Journal of Services and Operations Management, 2021 Vol.39 No.1, pp.98 - 120

Received: 11 Jun 2018
Accepted: 04 Jun 2019
Published online: 24 May 2021 *

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Title: Optimal inventory management system for deteriorating items with linear demand, shortages and partial backlogging in a triangular fuzzy setup

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