An interpolating by pass to Pareto optimality in intuitionistic fuzzy technique for a EOQ model with time sensitive backlogging

This article fuzzyfies EOQ crisp model with backlogged while demand of the customers varies with selling price and promotional effort. The demand rate in stock out situation decreases with duration of the shortage period and it comes back to its initial rate since promotional effort continues. The c...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 230; pp. 664 - 674
Main Authors: De, Sujit Kumar, Goswami, Adrijit, Sana, Shib Sankar
Format: Journal Article
Language:English
Published: Elsevier Inc 01.03.2014
Subjects:
Backorder inventory
Cost function
Demand
Fuzzy
Fuzzy set theory
Fuzzy sets
Interval number
Intervals
Intuitionistic fuzzy technique
Lagrange’s interpolation
Mathematical analysis
Mathematical models
Pareto optimal solution
Shortages
Pareto optimal solution
Fuzzy sets
Interval number
Backorder inventory
Intuitionistic fuzzy technique
Lagrange’s interpolation
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:This article fuzzyfies EOQ crisp model with backlogged while demand of the customers varies with selling price and promotional effort. The demand rate in stock out situation decreases with duration of the shortage period and it comes back to its initial rate since promotional effort continues. The cost function consists of set up cost, inventory cost, shortage cost and cost for promotional effort. The coefficient vectors of the concerned minimization cost function are considered as fuzzy numbers which are transformed into interval numbers. Then, the interval objective function has been transformed into a classical multi-objective EOQ model using intuitionistic fuzzy technique. A comparative study on Pareto optimality and optimality under Lagrange’s interpolating polynomial function has been made illustrating numerical example.
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content type line 23
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.12.137