An EPQ model for three-layer supply chain with partial backordering and disruption: Triangular dense fuzzy lock set approach

De, Sujit Kumar; Mahata, Gour Chandra

doi:10.1007/s12046-019-1160-7

Cited by 17 publications

(8 citation statements)

References 53 publications

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“…Considering the demand rate as triangular fuzzy number Moghdani et al [27] extended the EPQ model with multiple deliveries for the space constraints. De and Mahata [9] developed a three layer supply chain network model with partial backlogging and random disruptions under TDFLS environment. Maity et al [24] discussed an inventory model with backorder under intuitionistic dense fuzzy environment.…”

Section: General Overviewmentioning

confidence: 99%

An integrated production policy with defective items and stock-out based substitution under triangular dense fuzzy lock set environment

Karmakar

Datta

et al. 2021

RAIRO-Oper. Res.

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Brand substitution is common observed phenomenon in daily life. It is the decision makers' economic understanding and potential scheme for business-industries. Also, it provides the flexibility in management and increases the ability to control the production. This paper proposes an integrated supplier-retailer inventory model for substitutable products. Two supplier with two different brand product with their corresponding demand are involved and one retailer sells each of the products. To nullify the complexities of the joint optimization problem, we first develop a deterministic model for three cases: no substitution, partial substitution and full substitution, then we go for its fuzzification. Keeping the financial constraint of each producer, we have studied over the elasticity of the cost parameters by means of triangular dense fuzzy lock set approach with its locking and unlocking property for final decision making. Finally, sensitivity analysis and graphical illustration are made to justify the model.

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Section: General Overviewmentioning

confidence: 99%

An integrated production policy with defective items and stock-out based substitution under triangular dense fuzzy lock set environment

Karmakar

Datta

et al. 2021

RAIRO-Oper. Res.

Self Cite

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“…Paul et al (2014) formulated a model with imperfect quality. There are many other extensions of the fuzzified EPQ model: considering an investment for reducing holding cost and setup cost (Islam and Roy, 2006), multi-item production (Mandal and Roy, 2006), shifting in production (Zhaet al al, 2009), formulating a model with intuitionistic numbers (Chakrabortty, 2013), considering multi-period production (De and Sana, 2014) and partial back-ordering and disruption (De and Mahata, 2019). Despite these multiple extensions, only a single article proposes a FLS to obtain an optimal solution for the production system.…”

Section: Short Literature Reviewmentioning

confidence: 99%

Inventory Decision in Vuca World Using Economic Logic Quantity

Vesa

Boloș

Sabău-Popa

2021

AUOES

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If ever the concept “VUCA” (Volatility, Uncertainty, Complexity, and Ambiguity) seemed appropriate to use, it is now. National and global companies experience the highest level of instability due to the Covid-19 pandemic, which is the classic example of a highly volatile, uncertain, complex, and ambiguous world. In this world, decision-makers have to face more challenges appealing to the VUCA Prime leadership approach: vision against volatility, understanding against uncertainty, clarity against complexity, and agility against ambiguity. Some of the ways through which managers can overcome the VUCA characteristics include: providing a shared vision as a criterion for all decisions to be made, identifying the reason for the decision problems and sharing the idea with the followers, going through the entire decision process, following steps in proper order, and developing quick solutions. In an inventory decision taken in a VUCA context, the above ways are possible if using fuzzy inventory methods dealing with volatility, uncertainty, complexity, and ambiguity. This paper aims to adapt a traditional inventory method, Economic Production Quantity (EPQ), to the challenges of the VUCA world, through the fuzzy logic system (FLS). To achieve the best solution for the decision problem in the shortest time possible, the managers can employ a conversion by using the computing platform MATLAB. There are some advantages of this conversion for these two methods, EPQ and FLS. Firstly, the transformation of EPQ in ELQ (Economic Logic Quantity) allows managers to formulate the decision problem, even if they cannot identify and measure precisely the EPQ parameters. Secondly, using FLS to solve ELQ provides the possibility to simulate more alternatives and generate the solution in the shortest amount of time. Thirdly, it allows the decision-makers to evaluate the impact of the solution provided by each simulation on the company’s performance. Using these methods has the following primary limit: the problem formulation step depends on the managers’ understanding ability and managing a large volume of information. Therefore, there may be a risk of obtaining a relevant solution for a decision problem if the decision-makers do not understand the cause of the problem or do not know how to organize and manage a large volume of information. This limit could be overcome by using AHP (Analytic Hierarchy Process), but this is the topic of further research.

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“…Maity et al 36 studied an economic order quantity model under lock fuzzy environment. De and Mahata 37 utilized the TDFLS approach to study a three-layer supply chain with partial back-ordering and disruption.…”

Section: Introductionmentioning

confidence: 99%

“…Solving above two problems (37) and 38, we can obtain the solution for a matrix game with crisp payoffs.…”

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confidence: 99%

Matrix games with dense fuzzy payoffs

2021

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A novel notion of dense fuzzy lock set was introduced as an extension of fuzzy sets. Learning experiences have a vital role in this fuzzy lock set instigation. The novel fuzzy lock set reduces the fuzziness of the situation. Occasionally, the players are bound to make little changes in their game strategies to reach their goal for some matrix game problems. It may lead to some changes in payoffs. In this scenario, a matrix game's payoffs are chosen as dense fuzzy lock sets to make the problem more realistic. This paper's prime intent is to develop a mathematical model of a matrix game that represents payoffs by triangular dense fuzzy lock sets. Initially, a new defuzzification function MagD(.) is defined to find a ranking order relation of the dense fuzzy lock sets. Then a pair of auxiliary dense fuzzy programming problems is established for two players. These two problems are transformed into two equivalent crisp linear programming problems applying the proposed defuzzification function and its linearity property. The reduced problems are solved using LINGO 17.0 software to determine each player's optimal strategies and the game values. One surprising fact of this approach is that the value of the game increases with the increment of the player's learning experience. The validity, applicability, and superiority of this proposed methodology are illustrated by considering a real-life media share problem.

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An EPQ model for three-layer supply chain with partial backordering and disruption: Triangular dense fuzzy lock set approach

Cited by 17 publications

References 53 publications

An integrated production policy with defective items and stock-out based substitution under triangular dense fuzzy lock set environment

An integrated production policy with defective items and stock-out based substitution under triangular dense fuzzy lock set environment

Inventory Decision in Vuca World Using Economic Logic Quantity

Matrix games with dense fuzzy payoffs

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