A fuzzy inventory model with time dependent Weibull deterioration, quadratic demand and partial backlogging

Patro, Rojalin; Acharya, Milu; Nayak, Mitali Madhusmita; Patnaik, Srikanta

doi:10.1504/ijmdm.2017.085636

Cited by 7 publications

(4 citation statements)

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“…Holding cost is a straight capacity of time. Patro et al [49] have fostered a fluffy stock framework for time subordinate quadratic interest rate with Weibull deterioration rate, and the shortage is allowed partially backlogged. It is seen that an immense heap of things showed in a hypermarket will spur the client support to purchase more items.…”

Section: Literature Reviewmentioning

confidence: 99%

Analysis of Inventory Model for Quadratic Demand with Three Levels of Production

Singh¹,

Alharbi²,

Jayswal³

et al. 2022

Intelligent Automation &Amp; Soft Computing

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The inventory framework is one of the standards of activity research fundamentals in ventures and business endeavors. Production planning includes all building production plans, including organizing and appointing exercises to every individual, gathering individuals or machines, and mastering work orders in every work environment. Production booking should take care of all issues, for example, limiting client standby time and production time; and viably utilizing the undertaking's HR. This paper considered three degrees of a production inventory model for a consistent deterioration rate. This model assumes a significant part in the production of the board and assembling units. Request rate is the quadratic capacity of time, and deficiencies are not allowed. The all-out production rate is subject to manufacture rate, request rate, and pace of disintegrating things. It is feasible to the manufacture begun at one rate to additional rate after a specific time, and such a circumstance is attractive as in by starting at one a low pace of production. The model has first been addressed logically by limiting the entire inventory cost. The paper's target is to find the ideal arrangement of production time, to decrease the entire cost of the complete cycle. At last, a mathematical model and affectability examination on boundaries were made to approve the outcomes and discuss the proposed inventory model. This model can help the producer and retailer to decide the ideal request amount, process duration, and final stock expense. We have solved this problem with the help of two numerical examples to validate the proposed model and sensitivity analysis is performed.

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Section: Literature Reviewmentioning

confidence: 99%

Analysis of Inventory Model for Quadratic Demand with Three Levels of Production

Singh¹,

Alharbi²,

Jayswal³

et al. 2022

Intelligent Automation &Amp; Soft Computing

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“…R. Patro et. al., [3] develop an inventory policy with quadratic demand and deterioration following Weibull distribution in a crisp sense and then in a fuzzy environment. They use triangular fuzzy numbers in the fuzzy model with signed-distance method for defuzzification.…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic fuzzy inventory model with quadratic demand rate, time-dependent holding cost and shortages

Chaudhary

Kumar

2022

J. Phys.: Conf. Ser.

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In the present work, we studied an inventory model under quadratic demand rate, linearly time-dependent holding cost, constant deterioration rate and allowed shortages. Intuitionistic fuzzy set (IFS) theory is an efficient tool to reduce the uncertainty that occurs due to hesitation, so we studied the considered model under intuitionistic fuzzy set theory. Further, the model is transformed into an intuitionistic fuzzy inventory model by taking the decision variables as triangular intuitionistic fuzzy numbers. To optimize the best inventory policy under the intuitionistic fuzzy environment, the alpha-cut approach is used for the defuzzification of all intuitionistic fuzzy decision variables. Regarding the proposed model, a numerical example is presented to validate the methodology.

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“…Sujatha and Parvathi [11] developed a fuzzy inventory model for degenerating items where shortages are partially backlogged. Patro et al [7] introduced a fuzzy inventory model in which shortages are accepted and replaced partially. This paper comes up with a proposal of a fuzzy EOQ model in which shortages are allowed and are backordered fully.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy inventory model with allowable shortages and backorder

Zita¹

2020

Malaya J. Mat

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In this paper, we are going to exhibit an inventory model in which shortages are permitted and that can be completely replaced. The model is derived to compute the economic order quantity and to minimize the total cost. To get the optimal solution closer to the reality, the fuzzy techniques are applied. We use the octagonal fuzzy numbers to fuzzify the inventory quantities like ordering cost, holding cost and backorder cost. The ranking function of octagonal fuzzy numbers is used here for defuzzification. The optimal solutions are verified with the help of numerical illustrations.

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A fuzzy inventory model with time dependent Weibull deterioration, quadratic demand and partial backlogging

Cited by 7 publications

References 0 publications

Analysis of Inventory Model for Quadratic Demand with Three Levels of Production

Analysis of Inventory Model for Quadratic Demand with Three Levels of Production

Intuitionistic fuzzy inventory model with quadratic demand rate, time-dependent holding cost and shortages

Fuzzy inventory model with allowable shortages and backorder

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