A two storage inventory model with variable demand and time dependent deterioration rate and with partial backlogging

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Authors :

Richi Singh1*, Ashok Kumar2 and Dharmendra Yadav3

Author Address :

1Research Scholar, Meerut College Meerut, Uttar Pradesh, India.
2Meerut College, Meerut, Uttar Pradesh, India.
3Vardhman College, Bijnore, Uttar Pradesh, India.

*Corresponding author.

Abstract :

In this paper an inventory model is developed for single deteriorating items, partially backlogged shortages under two storehouses (first is owned and second is rented warehouse). The deterioration rate has been considered here to be time dependent. The demand rate of the item depends on (1) time; (2) selling price; and (3) the frequency of advertisement. The stocks of first warehouse are filled from second warehouse by using continuous release pattern. Here different cases and sub-cases are assumed according to the stock level at initial and reorder points, with respect to the relative size of storing capacities of storehouses. The proposed inventory model is formulated for each sub-case as non linear constrained mixed integer optimization problem. Here GRG technique is used to solve the problem. Also a numerical example is presented to demonstrate the proposed model.

Keywords :

Two-storehouse inventory; Variable deterioration rate; Variable demand rate; Partial backlogging.



Article Info :

Received : December 24, 2017; Accepted : January 21, 2018.



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