Acquisition and Production Management with Two Inventories under Fluctuating Prices and Demand  

作　　者：CAO Xiaogang HUANG Chongchao WEN Hui 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [2]School of Science, Hubei University of Technology,Wuhan 430068, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2009年第4期293-298,共6页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (70771079);the Foundation of China Scholarship Council (2007101668)

摘　　要：We propose a continuously deterministic procurement- production-inventory model to optimize the raw material procurement and production problem with raw material inventory and finished products inventory when the raw material purchasing price, the production cost, the raw material inventory holding cost, the finished products holding cost, and the demand rate fluctuate over time. We use Hamilton-Lagrange function and Pontryagin＇s maximum principle in optimal control theory to analyze the model, and we obtain the necessary and sufficiency conditions of the optimal solution to the model. We find some optimal policies regarding the procurement and production unde. some special circumstances.We propose a continuously deterministic procurement- production-inventory model to optimize the raw material procurement and production problem with raw material inventory and finished products inventory when the raw material purchasing price, the production cost, the raw material inventory holding cost, the finished products holding cost, and the demand rate fluctuate over time. We use Hamilton-Lagrange function and Pontryagin＇s maximum principle in optimal control theory to analyze the model, and we obtain the necessary and sufficiency conditions of the optimal solution to the model. We find some optimal policies regarding the procurement and production unde. some special circumstances.

关 键 词：procurement PRODUCTION INVENTORY optimal control 

分 类 号：F724.743[经济管理—产业经济] F273