Inventory system with price dependent consumption for deteriorating items with shortages under fuzzy environment

Padiyar, Surendra Vikram Singh; Singh, S.R.; Punetha, Neha

doi:10.1504/ijsami.2021.118124

Cited by 5 publications

(6 citation statements)

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“…Saranya and Varadarajan [27] discussed an inventory model with the help of the graded mean integration method (GMIM) for the deficiency. Padiyar et al [21] presented a deteriorating item inventory model with price dependent consumption rate under a fuzzy environment, where the total cost is defuzzify by the graded mean representation method. In their model, they allowed shortages that are completely backlogged.…”

Section: Inventory Model Based On Fuzzy Logicmentioning

confidence: 99%

Joint replenishment strategy for deteriorating multi-item through multi-echelon supply chain model with imperfect production under imprecise and inflationary environment

Padiyar

vandana²,

Bhagat

et al. 2022

RAIRO-Oper. Res.

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As the industry environment becomes more competitive, the supply chain management for multi items has become an essential part of the industries. In this paper, a multi-echelon inventory model for deteriorating multi items with imperfect production has been developed under the environment of fuzzy and inflation. In this study, a single producer, multi-supplier, and multi-retailer are considered from the integrated point of view. Here, the producer only produces the retailer's need to have a tremendous advantage and minimum loss. It is observed that the inflation rate is almost uncertain for deteriorating goods in every supply chain. In this paper, the inflation rate is taken as a triangular fuzzy number, and the centroid method is used to defuzzify the profit function. The shortage is not allowed in any part, an imperfect production process is also considered, but it is not reworkable in this supply chain. Different inflation rates are considered for additional items because inflation has strained the most vulnerable consumers (the daily wage earners), who mainly demand goods in short and small quantities. This entire model is developed based on the retailer's demand and due to which the profit potential is maximized. The central premise of this study is to get maximum benefit by creating a production model for deterioration items. Finally, a numerical example and sensitivity analysis illustrate the present study. It is also observed that if the number of shipments taken from the supplier increases during the production period, the total profit increases in crisp and fuzzy. If a positive change occurs in the number of shipments received through the producer to the retailer, then the fuzzy model has positive, but a slight negative change occurs in the crisp model. This paper shows the effect of a joint replenishment policy for multi-item compared with the independent approaches.

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Section: Inventory Model Based On Fuzzy Logicmentioning

confidence: 99%

Joint replenishment strategy for deteriorating multi-item through multi-echelon supply chain model with imperfect production under imprecise and inflationary environment

Padiyar

vandana²,

Bhagat

et al. 2022

RAIRO-Oper. Res.

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“…The findings were obtained using graded mean integration, signed distance, and centroid methods. Padiyar et al [25] proposed a framework for such items that have time and pricing constraints to achieve the ideal production run time by applying this fuzzy approach to increases the total turnover of firm Poswal et al [22] developed a framework for remanufacturing process of sustainable products with trade credit policy under a fuzzy environment.…”

Section: Literature Reviewmentioning

confidence: 99%

Fuzzy optimization model of two parameter Weibull deteriorating rate with quadratic demand and variable holding cost under allowable shortages

Poswal

Chauhan

Rajoria

et al. 2022

YUGOSLAV J OPERATION

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In this paper, a fuzzy inventory model with a Weibull deterioration rate, a quadratic demand rate, and a variable holding cost under permissible shortages has been developed. The deterioration rate is expressed by a two-parameter Weibull distribution. During a shortage, some buyers wait for the actual product, while others do not. This shortfall is considered partially backlogged in this model. Some buyers wait for the actual product during such shortages, but many do not. Therefore, partially backlogged shortages are taken into account in this approach. In a traditional inventory model, all parameters such as purchasing cost, shortage cost, holding cost, etc. are predetermined. However, there will be some variations. As a result, fuzzy factors are more accurate to deal with the real world?s problems. This research attempts to cut down the cost in a fuzzy environment by using quadratic demand, shortage, Weibull deterioration rate, and variable holding cost. Costs such as ordering, shortage, and deterioration are addressed as pentagonal fuzzy numbers that are defuzzified using a graded mean representation approach. Finally, sensitivity analysis was carried out to investigate the influence of cost parameters on total inventory cost. A numerical example is used to validate the proposed model in a real-world system.

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“…Padiyar et al [27] created an inventory management model incorporating price-dependent consumption for deteriorating items, considering shortages in a fuzzy environment. Padiyar et al [28] explored a fuzzy inventory model incorporating pricedependent demand and shortages for deteriorating goods. Padiyar et al [29] formulated a production inventory model for perishable items under learning inspection.…”

Section: Introductionmentioning

confidence: 99%

“…Padiyar et al [42] have developed a green production inventory model incorporating a remanufacture process and backordering within the context of reverse logistics. Padiyar et al [43] have formulated an inventory system tailored for deteriorating items with price-sensitive demand, incorporating the principles of fuzzy logic. Padiyar et al [44] introduces a mathematical framework to derive an Economic Production Quantity (EPQ) model with an imperfect production process for deteriorating items, considering the impact of inflation.…”

Section: Introductionmentioning

confidence: 99%

“…Padiyar et al [43] have formulated an inventory system tailored for deteriorating items with price-sensitive demand, incorporating the principles of fuzzy logic. Padiyar et al [44] introduces a mathematical framework to derive an Economic Production Quantity (EPQ) model with an imperfect production process for deteriorating items, considering the impact of inflation. The model also takes into account the production of fresh items, the collection of returned items, and the remanufacturing of returned items.…”

Section: Introductionmentioning

confidence: 99%

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Integrated Inventory Model with Inflation for Deteriorating Items

Padiyar,

Jain,

Makholia

et al. 2024

ARJOM

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The integrated inventory model works like a multi-tier supply chain involving a manufacturer, buyer, supplier, and customer. In the proposed article, integrated inventory management for perishable items has been developed. It is an essential responsibility of every supply chain member to ensure that any inventory can be delivered to the customer smoothly and on time. The model of inflation fluctuations takes into account inflation as one of its factors. This model considers the movement of inventory from production to supply in real data; Numerical examples have been explored to facilitate a practical understanding of this model in real-life situations, and the aggregate cost from the entire supply chain has been calculated. The model concludes with a sensitivity analysis, revealing the effects on the overall model stemming from alterations in key parameters that exert significant influence.

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Inventory system with price dependent consumption for deteriorating items with shortages under fuzzy environment

Cited by 5 publications

References 0 publications

Joint replenishment strategy for deteriorating multi-item through multi-echelon supply chain model with imperfect production under imprecise and inflationary environment

Joint replenishment strategy for deteriorating multi-item through multi-echelon supply chain model with imperfect production under imprecise and inflationary environment

Fuzzy optimization model of two parameter Weibull deteriorating rate with quadratic demand and variable holding cost under allowable shortages

Integrated Inventory Model with Inflation for Deteriorating Items

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