Title: Solving a single period inventory model with fuzzy inequality

Authors: Anuradha Sahoo; Jayanta Kumar Dash

Addresses: Department of Mathematics, Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar-751030, Odisha, India ' Department of Mathematics, Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar-751030, Odisha, India

Abstract: The purpose of this paper is to present a fuzzy chance-constrained single period inventory model (FCCSPIM) in which the fuzziness appears in the space constraint and objective function is crisp. Here the partial order relation exists in between a random variable and a real number. That means the probability of the event is discussed under vague data. Our approach for the solution process uses mostly fuzzy Zimmermann technique to convert the FCCSPIM into a proper deterministic equivalent. Then the resulting nonlinear deterministic model is solved by using LINGO software. The result indicate that the fuzzy programming approach is effective for the inventory problem. The applications of an optimisation model under uncertainty are used to solve day to day problems. Many methods were developed by using tools of mathematics, probability theory and stochastic process. Here, one new approach of fuzzy programming technique is introduced to obtain a deterministic form.

Keywords: single period inventory model; SPIM; chance constrained programming problem; fuzzy partial order relation.

DOI: 10.1504/IJOR.2022.122337

International Journal of Operational Research, 2022 Vol.43 No.3, pp.318 - 331

Received: 02 Nov 2018
Accepted: 29 Jun 2019
Published online: 20 Apr 2022 *

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