Inventory optimization by fuzzy logic for a production of single item without shortages

Author & Affiliation:

S. K. INDRAJITSINGHA

DST INSPIRE fellow, P.G. Department of Mathematics, Berhampur University, Berhampur, Bhanja Bihar-760 007, Odisha (India)

P.N. SAMANTA

P.G. Department of Mathematics, Berhampur University,Berhampur, Bhanja Bihar-760 007, Odisha (India)

U.K. MISRA

Department of Mathematics, NIST, Golanthara, Palur Hill, Pin-761 008, Berhampur, Odisha, (India)

Keyword:

Fuzzy Inventory, Pentagonal Fuzzy Number, Signed Distance Method, Deterioration, Defuzzification, AMS Classification No: 03E72

Issue Date:

October, 2017

Abstract:

Here a single item inventory model for deteriorating items without shortages under fuzzy sense is formulated and solved. Fuzziness is introduced by allowing cost components, demand rate, deterioration rate and the production rate. In fuzzy environment, demand, holding cost, set-up cost, deterioration cost, production rate, deterioration rate etc. are assumed to be pentagonal fuzzy numbers. The purpose of this model is to minimize the total cost function in fuzzy scenario. Signed distance method is employed to defuzzify the total cost function per unit time in fuzzy approach. We provide a numerical example to illustrate the theoretical result obtain by the above defuzzification method. Sensitivity analysis of parameters is also carried to detect the effect of change of their values.

Pages:

41-51

ISSN:

.-- (Online) - -- (Print)

Source:

Vol.1 - No.1

PDF:

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DOI:

http://dx.doi.org/

Copy the following to cite this article:

K. S. Indrajitsingha; P. Samanta; U. Misra , "Inventory optimization by fuzzy logic for a production of single item without shortages", Ansari Journal of Ultra Scientist of Engineering and Management, Volume 1, Issue 1, Page Number 41-51, 2017

Copy the following to cite this URL:

Available from: http://www.enggandmgtjournal.org/paper/11/inventory-optimization-by-fuzzy-logic-for-a-production-of-single-item-without-shortages