Optimization of economic order quantity model with shortages having two parameter Weibull demand and deterioration rate under crisp and fuzzy system

Sayal, Anu; Singh, Anubhav; Chauhan, Arun; Dhiman, Neeraj

doi:10.1063/5.0103768

Cited by 3 publications

(1 citation statement)

References 17 publications

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“…Additionally, they created an EOQ model with optimization and a discount for inflation using a pentagonal fuzzy number. An inventory model that is fuzzy and has a ramp type demand section is studied by Singh et al [36] for products that are lowering and shortage not considered in this model, in same manner, Sayal et al [37][38][39] establish three inventory models in both crisp and fuzzy environment simultaneously, with the weibull distribution and deterioration rate and another with partial backlogging under the effect of inflation and the last for the deteriorating items with the time varying holding cost under uncertainty. Arora et al [40] developed a remanufacturing inventory model to control the carbon emission using cap trade regulation with hexagonal fuzzy number.…”

Section: Review Of Fuzzy Inventorymentioning

confidence: 99%

Investigation of a Fuzzy Production Inventory Model with Carbon Emission using Sign Distance Method

Kumar,

Sahedev,

Singh

et al. 2024

E3S Web Conf.

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Reducing costs associated with inventory is the primary goal of conventional inventory models like the models of economic order quantity and economic production quantity. However, these models fall short of addressing defective goods or revising them. Imperfections in the manufacturing process result in flawed products alongside the final goods. To convert these flawed components into finished goods, rework is necessary. In manufacturing and reworking process produces carbon emissions which are harmful for the earth. To determine the optimal quantity for a single product manufactured in a single-stage manufacturing system that yields partially defective products that are reworked in the same cycle, is determined in real-life situations, where the inventory characteristics and objectives are not exact. Such a type of uncertainty may be characterized by fuzzy numbers. A pentagonal fuzzy number has been used to define the cost parameters. Due to fuzzy parameters, the model becomes a fuzzy quantity, and it is defuzzied by the sign distance method. this article formulates a model of manufacturing inventories with planned backorders. Furthermore, a closed form for the inventory’s system total cost is determined, and a range of actual values for defective products for which an appropriate method exists is also provided. A proper mathematical model is created to accomplish the goal, and the manufacturing lot size that reduces the overall cost is determined. The ideal amount of a production batch to reduce total cost is established in to attain this goal using an appropriate mathematical model. While formulating and solving the relevant model, the necessary and sufficient conditions for a single globally optimal solution have been determined. Examples used as visualizations are given and confirmed by data.

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Section: Review Of Fuzzy Inventorymentioning

confidence: 99%

Investigation of a Fuzzy Production Inventory Model with Carbon Emission using Sign Distance Method

Kumar,

Sahedev,

Singh

et al. 2024

E3S Web Conf.

View full text Add to dashboard Cite

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A fuzzy inventory model: stock dependent demand considering salvage value with deferred payments

Sahedev,

Kumar,

Singh

et al. 2024

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Linear and Nonlinear Time-Dependent Deteriorated Inventory Control Model

Nand

2024

J. Adv. Manuf. Syst.

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Inventory models are quite important when it comes to analyzing scenarios that occur in a variety of areas, including food, warehouses, vegetable markets, and other similar places. Within the scope of this study, we investigate both a linear and a nonlinear time-dependent inventory control model for things that are deteriorating. When it comes to conducting business in the modern day, the relationship that exists between retailers and customers is absolutely necessary for successful implementation. Consumers engage in commercial transactions with retailers in order to buy goods with the intention of increasing their earnings. The goal of this study is to calculate the number of times demand orders are placed by customers throughout the rotation time in order to achieve the highest possible overall profit for both the client and the merchant, both with and without the use of collaboration. In addition, it intends to investigate the disparity between the total profit obtained by the customer and the merchant in two different scenarios. Using analytical methods, the proposed model is evaluated in order to obtain the best possible solution to the problem. In the following section, a numerical example and a comparison study are discussed. Ultimately, a sensitivity analysis of the parameters is to be done to investigate the variations in the results of various parameters inside the model based on the optimal strategy.

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Optimization of economic order quantity model with shortages having two parameter Weibull demand and deterioration rate under crisp and fuzzy system

Cited by 3 publications

References 17 publications

Investigation of a Fuzzy Production Inventory Model with Carbon Emission using Sign Distance Method

Investigation of a Fuzzy Production Inventory Model with Carbon Emission using Sign Distance Method

A fuzzy inventory model: stock dependent demand considering salvage value with deferred payments

Linear and Nonlinear Time-Dependent Deteriorated Inventory Control Model

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