Multi-objective Sustainable Fuzzy Economic Production Quantity (SFEPQ) Model with Demand as Type-2 Fuzzy Number: A Fuzzy Differential Equation Approach

Debnath, Bijoy Krishna; Majumder, Pinki; Bera, Uttam Kumar

doi:10.15672/hjms.20164512494

Cited by 7 publications

(9 citation statements)

References 32 publications

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“…Mondal [60] described a solution of the basic inventory model in fuzzy and interval environments with FDE and inter differential equation (IDE approach. Debnath et al [61] introduced a sustainable fuzzy economic production quantity model with the demand as type-2 fuzzy number using generalized Hukuhara derivative of FDE. Very recently, Rahaman et al [62] have studied a memory motivated fuzzy EPQ model in fuzzy fractional differential equation under Riemann-Liouville sense of fractional derivative.…”

Section: Fuzzy Differential Equation In Inventory Management Problemmentioning

confidence: 99%

Solution of an Economic Production Quantity model using the generalized Hukuhara derivative approach

Rahaman

Maity²,

et al. 2021

Scientia Iranica

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In this study, an economic production quantity (EPQ) model with deterioration is developed where the production rate is stock dependent and the demand rate is unit selling price and stock dependent. The low unit selling price and more stocks correspond high demandbut more stock corresponds to slow production because of the avoidance of unnecessary stocks. First of all, we develop the production model by solving some ordinary differential equations having deterministic profit function under some specific assumptions. Later, we develop the fuzzymodel by solving the fuzzy differential equations using Generalized Hukuhara derivative. In fact, the differential equation of the model has been split into two parts namely gH(L-R) and gH(R-L) on the basis of left(L) and right(R)𝛼 − cuts of fuzzy numbers for which the problem itself is transformed into multi-objective EPQ problem. A new formula of aggregation of several objective values obtained at different aspiration levelshas been discussed to defuzzify the fuzzy multi-objective problems.We solve the crisp and fuzzy models using LINGO software. Numerical and graphical illustrations confirm thatthe model under Generalized Hukuhara derivative of (R-L) type contributes more profit which is one of the basic novelties of the proposed approach.

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Section: Fuzzy Differential Equation In Inventory Management Problemmentioning

confidence: 99%

Solution of an Economic Production Quantity model using the generalized Hukuhara derivative approach

Rahaman

Maity²,

et al. 2021

Scientia Iranica

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“…They used goal programming under three factor budget constraint, space constraint and budgetary constraint on ordering cost. Debnath et al [6] The study proposed an inventory model under trade credit policy with type-2 fuzzy parameters and solved through the use of generalized derivative approach. They used weighted sum method and global criteria method to determine the optimum time to minimize the total inventory cost of product.…”

Section: Duttamentioning

confidence: 99%

A Deterministic Multi-Objective Optimization Process of Multi-Item Inventory Management in Fmcg Industry

Agrawal¹,

Vijayvargy²,

Gupta³

2020

IJRTE

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The inventory management is the crucial part of any of the company’s, and nowadays, they find challenging to perceive out the optimal quantity level needed to overcome from shortages problem and also to reduce the wastages.In this paper, we used a multi-criteria decision-making for formulating the inventory management problem without shortages with the aim of optimizing profit and holding cost of the company simultaneously. We have also considered both ordering cost and storage cost as a non-linear function of the rapid stock level. In addition we used linear goal programming to find out the minimum optimal quantity level to put in the inventory to reduce out of stock situation. Finally, a numerical illustration of FMCG Company has been taken to show the application of proposed work.

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“…The model has some validity but does not take into account the quality of the product; Debnath B K et al [14] introduced the concept of fuzzy differential equations, established a sustainable fuzzy economic production quantity inventory model, and applied the generalized Hukuhara differentiability process to solve the fuzzy differential equations. A reduction method based on the first critical value is applied to the demand function, which is transformed into a type 1 fuzzy variable.…”

Section: Introductionmentioning

confidence: 99%

“…The study maximizes profits and thus minimizes total inventory costs. But the model runs less efficiently; Debnath B K [16] built an inventory model using type 2 fuzzy parameters and solved it using the generalized Hukuhara derivative method. A first critical value (CV) based reduction method is applied to reduce the corresponding pentagon type 1 fuzzy variables.…”

Section: Introductionmentioning

confidence: 99%

Construction of supply chain coordination and optimization model of fresh food e-commerce platform based on improved bacterial foraging algorithm

2022

RAIRO-Oper. Res.

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In order to maximize the overall profit of the supply chain of fresh food e-commerce platform, the supply chain coordination and optimization model of fresh food e-commerce platform based on the improved bacterial foraging algorithm is constructed. The basic model of bacterial foraging algorithm is constructed through chemotaxis, reproduction, elimination & dispersal, and the bacterial foraging algorithm is improved by using four parts: bacterial individual and parameter initialization, chemotaxis behavior, reproduction behavior and migration behavior, so as to realize the coordination and optimization of the supply chain of fresh food e-commerce platform. Use the Internet service platform to promote the electronization of the supply chain transaction process and improve the overall operation efficiency. Through the cooperation among fresh food suppliers, fresh food e-commerce and upstream fresh food suppliers, the supply chain coordination and optimization model of fresh food e-commerce platform is constructed to improve the overall profit of the supply chain. The experimental results show that using the improved bacterial foraging algorithm to solve the supply chain coordination and optimization model of fresh food e-commerce platform has high effectiveness, and can maximize the overall profit of the supply chain of fresh food e-commerce platform.

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Multi-objective Sustainable Fuzzy Economic Production Quantity (SFEPQ) Model with Demand as Type-2 Fuzzy Number: A Fuzzy Differential Equation Approach

Cited by 7 publications

References 32 publications

Solution of an Economic Production Quantity model using the generalized Hukuhara derivative approach

Solution of an Economic Production Quantity model using the generalized Hukuhara derivative approach

A Deterministic Multi-Objective Optimization Process of Multi-Item Inventory Management in Fmcg Industry

Construction of supply chain coordination and optimization model of fresh food e-commerce platform based on improved bacterial foraging algorithm

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