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Research Article | Open Access

Selecting a set of best stochastic inventory policies measured by opportunity cost

Mohammad H. Almomani1( )Mahmoud H. Alrefaei2
Department of Mathematics, Faculty of Science, The Hashemite University, P.O box 330127, Zarqa 13133, Jordan
Department of Mathematics and Statistics, Jordan University of Science and Technology, Jordan
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Abstract

In the present article, we consider the stochastic inventory model aiming at selecting a subset of best policies with minimum total cost. When the computational budget is limited, then the optimal computing budget allocation (OCBA) is used for allocating the available computational budget to the different policies in order to correctly select the best policies. To measure the quality of the selection, we use the expected opportunity cost (EOC) approach that measures the total difference means between the actual best policies and the selected policies. The proposed algorithm OCBA based on EOC is implemented on a stochastic inventory example. The results show that the EOC approaches zero as the total number of computational budgets increases and that using the EOC measure gives better results than using the probability of correct selection (PCS). Moreover, the numerical results indicate that the proposed algorithm is robust.

CLC number: 90C15, 90C47, 49K35, 49K45

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AIMS Mathematics
Pages 4892-4906

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Cite this article:
Almomani MH, Alrefaei MH. Selecting a set of best stochastic inventory policies measured by opportunity cost. AIMS Mathematics, 2023, 8(2): 4892-4906. https://doi.org/10.3934/math.2023244

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Received: 23 August 2022
Revised: 26 November 2022
Accepted: 02 December 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)