Several Kinds Of Economic Order Quantity Model And Its Application

ABSTRACTInventory management is one of the oldest topics in production management. However, its old doesn't mean an ignorance by entrepreneurs and scholars. Instead, with the appearance of the school of management science and widely application of computer, especially the newly emerged concepts and systems of MRPâ…¡,ERP,OPT,JIT, and zero stock, etc., this ancient field has always been the frontier in production management researches. The forming of many new systems and new concepts are based on the thorough studies and thoughts on the basic concept of inventory.Based on both domestic and foreign analysis of the history, current situation and future development of EOQ and the author's research practices, the thesis gives a relatively systematic and thorough study on several typical topics of EOQ.Through two hypothesises of constant demand rate and backlogging rate, the time-varying demand and the partial backlogging model is specified. The thesis puts forward an infinite replenishment rate EOQ model and an EOQ model of production while demanded at partial backlogging condition. An application analysis on two cases of Chongqing Jicheng Co. Ltd. and Hua En Co. Ltd. is given here.The thesis studies the EOQ issue at random condition. Under the hypothesis that the ordering cycle is a random variant which satisfies exponent distribution, average demand is a linear increasing function, Considering the effects of the time-value of capital and inflation on replenish ment strategy of inventory system, loosening the condition of basic economic order quantity model under deterministic state, the thesis puts forward EOQ model at random state when average demand is a linear increasing function. Emphasis is given to the study of deteriorating items EOQ issue under stock dependent selling rate. The thesis puts forward an EOQ model when theoretical demand rate is a linear increasing function without backlogging or with complete backlogging, discusses the existence and unique of optimum solution under non-backlogging condition; comprehensively considers the effects on replenishment strategy of inventory management at the condition of systematic time-value of cost and the phenomenon of stock dependent selling rate, and set up its EOQ model, discusses the existence and unique of optimum solution of the model, provides an algorithm to seek the optimum solution and relevant examples.