An inventory model with fuzzy deterioration and fully backlogged shortage under inflation

Shabani, Sonia; Mirzazadeh, Abolfazl; Sharifi, Ehsan

doi:10.15764/am.2014.02015

Cited by 5 publications

(1 citation statement)

References 33 publications

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“…Pervin et al [32] formulated an integrated vendor-buyer model for deteriorating items including quadratic demand rate. Shaboni et al [39] developed an inventory model with fuzzy deterioration and fully backlogged shortages under inflation. De and Goswami [3] presented an inventory model under fuzzy inflation rate and fuzzy deterioration rate including delay in payment.…”

Section: (D)mentioning

confidence: 99%

Back-ordered inventory model with inflation in a cloudy-fuzzy environment

Barman¹,

Pervin²,

Roy³

et al. 2021

JIMO

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In this paper, an Economic Production Quantity model for deteriorating items with time-dependent demand and shortages including partially back-ordered is developed under a cloudy-fuzzy environment. At first, we develop a crisp model by considering linearly time-dependent demand with constant deterioration rate, constant inflation rate and shortages under partially back-ordered, then we fuzzify the model to archive a decision under the cloudy-fuzzy (extension of fuzziness) demand rate, inflation rate, deterioration rate and the partially back-ordered rate which are followed by their practical applications. In this model, we assume ambiances where cloudy normalized triangular fuzzy number is used to handle the uncertainty in information which is coming from the data. The main purpose of our study is to defuzzify the total inventory cost by applying Ranking Index method of fuzzy numbers as well as cloudy-fuzzy numbers and minimize the total inventory cost of crisp, fuzzy, and cloudy-fuzzy model. Finally, a comparative analysis among crisp, fuzzy and cloudy-fuzzy total cost is carried out in this paper. Numerical example, sensitivity analysis, and managerial insights are elaborated to justify the usefulness of the new approach. A comparative inquiry of the numerical result with a new existing paper is also carried out. This paper ends with a conclusion along with advantages and limitations of our solution approach, and an outlook towards possible future studies.

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Section: (D)mentioning

confidence: 99%

Back-ordered inventory model with inflation in a cloudy-fuzzy environment

Barman¹,

Pervin²,

Roy³

et al. 2021

JIMO

View full text Add to dashboard Cite

show abstract

Development Inventory Model of Price-Dependent Perishable Products in Sustainable Environment

Vangipurapu

Rambabu

Kandukuri³

2020

Lecture Notes in Mechanical Engineering

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Multi-echelon Supply Chain Model for Deteriorating Products in a Fuzzy Deterioration Environment

Priyan

Mala²

2019

Fuzzy Information and Engineering

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Purpose: This research analyses the optimal inventory strategy for a deteriorating product with imprecise deterioration rate in a single supplier-buyer supply chain system with realistic factors. Design/methodology/approach: The integration of production and distribution inventory system is crucial in practice for minimizing a firm's cost while the effect of deterioration cannot be ignored as it affects the entire inventory system. Nowadays managers have begun to recognize that effectively managing deterioration risks in their business operations plays an important role in successfully managing their inventories. Here, the deterioration rate is treated as the triangular fuzzy number. Also we use the extension principle method to define the membership function of the fuzzy total cost and defuzzify by the centroid to find the estimate of the total cost in the fuzzy sense. Findings: A methodology has been proposed through mathematical model which involves designing an iterative algorithm to achieve optimal decisions such as order lot-size and total number of deliveries from the supplier to buyer. Originality value: The effects of varying the central parameter values on the optimal solution are performed by numerical and sensitivity analysis so as to highlight the differences between crisp and the fuzzy cases.

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An inventory model with fuzzy deterioration and fully backlogged shortage under inflation

Cited by 5 publications

References 33 publications

Back-ordered inventory model with inflation in a cloudy-fuzzy environment

Back-ordered inventory model with inflation in a cloudy-fuzzy environment

Development Inventory Model of Price-Dependent Perishable Products in Sustainable Environment

Multi-echelon Supply Chain Model for Deteriorating Products in a Fuzzy Deterioration Environment

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