Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation Approach

Time is a very crucial factor in controlling demand patterns for certain products. In manufacturing processes, the production rate must be regulated according to the demand pattern and available stock as a part of effective lot size management policies. We incorporate this fundamental idea for const...

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Main Authors: Mostafijur Rahaman, Rakibul Haque, Soheil Salahshour, Anna Sobczak, Fariba Azizzadeh, Shariful Alam, Sankar Prasad Mondal
Format: Article
Language:English
Published: Wrocław University of Science and Technology 2025-01-01
Series:Operations Research and Decisions
Online Access:https://ord.pwr.edu.pl/assets/papers_archive/ord2025vol35no2_3.pdf
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author Mostafijur Rahaman
Rakibul Haque
Soheil Salahshour
Anna Sobczak
Fariba Azizzadeh
Shariful Alam
Sankar Prasad Mondal
author_facet Mostafijur Rahaman
Rakibul Haque
Soheil Salahshour
Anna Sobczak
Fariba Azizzadeh
Shariful Alam
Sankar Prasad Mondal
author_sort Mostafijur Rahaman
collection DOAJ
description Time is a very crucial factor in controlling demand patterns for certain products. In manufacturing processes, the production rate must be regulated according to the demand pattern and available stock as a part of effective lot size management policies. We incorporate this fundamental idea for constructing the production rate as a function of demand and stock, which is the primary contribution of this paper. Predicting demand patterns and adjusting the production rate inherently involve vagueness. We use neutrosophic logic, an advanced mathematical tool for addressing imprecision in decision planning. Neutrosophic calculus-based analysis of uncertainty involved with the proposed model is the secondary contribution in this paper. Numerical results indicate that the proposed approach yields superior results compared to the crisp environment and traditional neutrosophic approaches for cost minimization. Furthermore, it is worth noting that Case 1 of the proposed neutrosophic differential approach guarantees better results than Case 2. (original abstract)
format Article
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institution Kabale University
issn 2081-8858
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language English
publishDate 2025-01-01
publisher Wrocław University of Science and Technology
record_format Article
series Operations Research and Decisions
spelling doaj-art-c0df26ff77cf479aa2413bf1b60a28792025-08-20T03:28:44ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602025-01-01vol. 35no. 25592171711975Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation ApproachMostafijur Rahaman0Rakibul Haque1Soheil Salahshour2Anna Sobczak3Fariba Azizzadeh4Shariful Alam5Sankar Prasad Mondal6Mohan Babu University, IndiaMaulana Abul Kalam Azad University of Technology, West Bengal, IndiaIstanbul Okan University, Istanbul, TurkeyThe Jacob of Paradies University in Gorzów Wielkopolski, PolandIslamic Azad University, Piranshahr (Urmia), IranIndian Institute of Engineering, Science and Technology, Shibpur, IndiaMaulana Abul Kalam Azad University of Technology, West Bengal, IndiaTime is a very crucial factor in controlling demand patterns for certain products. In manufacturing processes, the production rate must be regulated according to the demand pattern and available stock as a part of effective lot size management policies. We incorporate this fundamental idea for constructing the production rate as a function of demand and stock, which is the primary contribution of this paper. Predicting demand patterns and adjusting the production rate inherently involve vagueness. We use neutrosophic logic, an advanced mathematical tool for addressing imprecision in decision planning. Neutrosophic calculus-based analysis of uncertainty involved with the proposed model is the secondary contribution in this paper. Numerical results indicate that the proposed approach yields superior results compared to the crisp environment and traditional neutrosophic approaches for cost minimization. Furthermore, it is worth noting that Case 1 of the proposed neutrosophic differential approach guarantees better results than Case 2. (original abstract)https://ord.pwr.edu.pl/assets/papers_archive/ord2025vol35no2_3.pdf
spellingShingle Mostafijur Rahaman
Rakibul Haque
Soheil Salahshour
Anna Sobczak
Fariba Azizzadeh
Shariful Alam
Sankar Prasad Mondal
Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation Approach
Operations Research and Decisions
title Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation Approach
title_full Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation Approach
title_fullStr Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation Approach
title_full_unstemmed Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation Approach
title_short Solution of an Uncertain EPQ Model Using the Neutrosophic Differential Equation Approach
title_sort solution of an uncertain epq model using the neutrosophic differential equation approach
url https://ord.pwr.edu.pl/assets/papers_archive/ord2025vol35no2_3.pdf
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