255 THE JOURNAL OF ORIENTAL RESEARCH MADRAS ISSN : 0022-3301 | MARCH 2021 255 A FINITE HORIZON INVENTORY MODEL FOR DETERIORATING ITEMS WITH PROMOTIONAL EFFORT* BY Hardik N. Soni  Chimanbhai Patel Post Graduate Institute of Computer Application, Ahmedabad – 15, India hardik_soni30@yahoo.com Kunal Shah  Research Scholar, Kadi Sarva Vishwavidyalaya, Gandhinagar, India kunalshah02@gmail.com Abstract: In this paper, we developed an inventory model for a finite time horizon in which needis dependent on promotional efforts. The major objective is to determine the optimal replenishment schedule such that total charges is reduced. It is determined that under these conditions, a solution of the model must exist and be unique. Next, algorithms are suggested to find the optimal solution, a numerical example is given to illustrate the model. Received 12Mar 2021, Accepted 18 Mar 2021, Published 25 Mar 2021  Correspondence Author: Hardik N. Soni 1. Introduction The contemporary climate, which is highly competitive, is fraught with various kinds of obstacles for businesses to meet challenging customers' demands while making a profit. People have employed promotion to promote their goods and services for many years now. More importantly, smaller companies and retailers exploited this to escalate sales and market share, while also pushing up their revenue. It is Freebies such as free goods and credit, as well as fair pricing cut to prices, are widely used in advertisements. Research, as well as promotional activities, is enhanced by this, consequently, and these two groups' attention is drawn to the importance of expanding these activities. Taylor is expanding into the middle of the forest in the same general direction. [1] When a sales goal is set, the quantity demanded is not just shifting but can expand and develop. Krishna et al. [2] Assisted the company in trying to examine the design of “decentralized supply chains with the aid of retailers Tsao, Sheen” [3] created a strategy for diminishing stock waste of dollars with dynamic pricing and marketing strategies that enable items to be restocked even after they have been paid for. 's Zhang et al. [4] committed to using finite horizons to optimizing the welfare by prioritizing three price/re-tender methods: stock market expansion, promotion, and marginal replenishment of stocks, has adopted a single object concept It's Grewal et al. [5] Concerning retail pricing and marketing, the field of three- based and targeting approaches, as well as the third-party merchandising, model and design, researchers have seen considerable progress. Sana's [6] The EOQ model has been put to the test, while