A Study On Production Inventory Problems With Price-dependent Demands

With the rapid improvement of science and technology and the severe situation of the economic globalization,the manufacturing enterprise is relatively limited by the economic situation,and this has posed an obstacle to the development of other industries.The management of production cost in daily life is an important aspect in the manufacturing enterprise,and a better management system of production cost will push forward the sound and sustainable development of the manufacturing enterprise and improve the efficiency and economic benefits of the manufacturing enterprise.As a huge investment of the production cost,the control of inventory cost has attracted wide attention.Therefore,how to achieve the minimum of the cost and the maximum of the profit in the practical course becomes the priority of this paper from the perspective of the cost of manufacturing enterprises.This paper analyzes the production inventory of the manufacturing enterprises that changes with time with price-dependent demand and set the goal of the maximum of benefits.Its main items contain the following aspects:(1)Models of single stage production inventory with price-dependent and inventory-dependent demand.According to the features of single stage production inventory,the paper regards the demand rate of clients,production cost and inventory cost as the influenced factors and then establishes the object function which uses the maximum as the performance indicator.The level of inventory is consisted of production rate,demand rate and loss rate of products.The piecewise function of production rate and demand price is obtained through the principle of maximum,and gains the best production plan through the continuity of boundary values and finally achieves the best inventory in different plans.(2)Models of serial production inventory with price-dependent demand.An object function which sees the maximum of profit as the performance index is proposed on the basis of the single stage production inventory and the features of serial production inventory.This model considers the demand rate of clients,two-phase production and inventory cost as the influenced indicators.The first stage level of inventory includes the production rate,loss rate and production rate of the next stage.The piecewise function is obtained through the principle of maximum,and gets the best production plan through the continuity of boundary values and then solves the best inventory in different proposal.(3)Models of assembly production inventory with price-dependent and inventory-dependent demand.On the basis of the above-mentioned serial production inventory and the characteristics of the assembly production inventory,we take the influenced factors such as demands of clients,two-phase production and inventory cost into consideration.The objective function with the same performance index as before is established.And then we solve the problems with the same way and gain the best inventory in the light of different price strategies.