A Fuzzy Inventory Model for Deteriorating Items with Stock and Time Dependent Demand and Partial Backlogging Under Trade Credit period

AUTHOR AND
AFFILIATION

D. CHITRA* and P. PARVATHI**
*Assistant Professor, Department of Mathematics, Quaid-E-millath government college,Chennai – 600002, TamilNadu (India)
** Associate Professor, Department of Mathematics, Quaid-E-millath government college, Chennai – 600002, TamilNadu (India)

KEYWORDS:

Triangular fuzzy numbers, Stock and Time Dependent Demand, Deteriorating Items, Trade Credit Period.

Issue Date:

December 2015

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.27 – No.3

PDF

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DOI:

jusps-A

ABSTRACT:

In the present paper, a Fuzzy inventory model for deteriorating items has been developed with stock and time dependent demand for which the supplier permits a fixed trade credit period. This paper also assumes that excess demand is partially backlogged. All the inventory costs involved in this model are taken as triangular fuzzy numbers. Replenishment cycle length, the time at which shortage begins and the optimal total inventory cost are taken as decision variables. Sensitivity for this model is also studied. Graded mean representation is used to defuzzify the model. The advantage of proposed approach is that it is simple, gives the better result in relatively less computational work.

Copy the following to cite this Article:

D. CHITRA* and P. PARVATHI**, “A Fuzzy Inventory Model for Deteriorating Items with Stock and Time Dependent Demand and Partial Backlogging Under Trade Credit period”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 3, Page Number , 2016


Copy the following to cite this URL:

D. CHITRA* and P. PARVATHI**, “A Fuzzy Inventory Model for Deteriorating Items with Stock and Time Dependent Demand and Partial Backlogging Under Trade Credit period”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 3, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/367/


In the present paper, a Fuzzy inventory model for deteriorating items has been developed with stock and time dependent demand for which the supplier permits a fixed trade credit period. This paper also assumes that excess demand is partially backlogged. All the inventory costs involved in this model are taken as triangular fuzzy numbers. Replenishment cycle length, the time at which shortage begins and the optimal total inventory cost are taken as decision variables. Sensitivity for this model is also studied. Graded mean representation is used to defuzzify the model. The advantage of proposed approach is that it is simple, gives the better result in relatively less computational work.