ECONOMIC ORDER QUANTITY (EOQ) OPTIMAL CONTROL CONSIDERING SELLING PRICE AND SALESMAN INITIATIVE COST

摘要

Retailers usually offer several types of similar products. A larger number of available stock products in display space will lead consumer to buy more, as well as giving a negative impression on other types of less available products. However, the amount of display space is limited so capacity of carrying the products is limited. Competition among products to increase demand rate is influenced by stock levels available in display space, price and salesmen's initiative, in promoting the products. The Economic Order Quantity (EOQ) to replenish the stock of the product is dependent on the on-hand inventory. Salesman's initiative also affects maximum profit obtained by the seller. In this paper, Potryagin's Maximal Principle is used to determine the state of the inventory levels response to control prices of products. Sensitivity analysis of capacity allocation display space is also presented numerically.