# Two Warehouse Inventory Model for Imperfect Quality Items with Allowable Proportionate Discount

Two Warehouse Inventory Model for Imperfect Quality Items with Allowable Proportionate Discount

Rojalini Patro Milu Acharya Mitali Madhusmita Nayak

Department of Mathematics, Faculty of Engineering and Technology, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan University, Bhubaneswar, Odisha, India

Corresponding Author Email:
mitalinayak7@gmail.com, patro.rojalin@gmail.com, miluacharya@soa.ac.in
Page:
55-71
|
DOI:
https://doi.org/10.18280/mmc_d.380105
April 2017
| |
Accepted:
15 November 2017
| | Citation

OPEN ACCESS

Abstract:

two-warehouse inventory model having a percentage defective items is formulated and solved by introducing proportionate discount for imperfect quality items, where the warehouses possessa fixed capacity in contrast with the traditional inventory model which is assumed to have unlimited capacity. For the present model it is assumed that the inventory costs in rented warehouse(RW) is higher than the own warehouse(OW). The aim of this paper is to find the optimal lot size to maximize the total profit for the developed model by introducing the proportionate rate of discount for items with imperfect quality.Numerical example is provided to illustrate the results of the proposed model.The concavity of the profit function is shown graphically. Sensitivity analysis is conducted toshow the applicability of the proposed model by changing the values of different parameters presentin the derived mathematical expressions for both the actual lot size and the profit.

Keywords:

warehouse, proportionate discount, inventory

1. Introduction
2. Notations and Assumptions
3. The Mathematical Model
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