Title: An EPQ model of deteriorating substitute items under trade credit policy

Authors: Pinki Majumder; Uttam Kumar Bera; Manoranjan Maiti

Addresses: Department of Mathematics, National Institute of Technology, Agartala, Jirania-799055, West Tripura, India ' Department of Mathematics, National Institute of Technology, Agartala, Jirania-799055, West Tripura, India ' Department of Applied Mathematics, Vidyasagar University, Midnapore-721102, WB, India

Abstract: This study presents a multi item EPQ model of deteriorating items under trade credit policy where items are substitute in nature. Sometimes demand for one good also depends on the stock of other related goods. The standard economic textbooks indicate that related products' for a product include complement as well as substitute products. Two goods are substitutes if one can be used in place of the other one. Many products that are on the market today have substitutes. For example, bread and crackers, stocks and bonds, two different brands of soft drinks or water etc. The change in a substitute product's stock level could alter quantity demanded for another good. Here whole profit is calculated with retailer's point of view. In this model we take different types of budget. GRG method and LINGO (13.0) is used to find the optimal solutions. Some sensitivity analyses are made and presented graphically.

Keywords: EPQ model; substitute item; uncertain budget.

DOI: 10.1504/IJOR.2019.097576

International Journal of Operational Research, 2019 Vol.34 No.2, pp.161 - 212

Received: 15 Aug 2015
Accepted: 24 Feb 2016
Published online: 30 Jan 2019 *

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