Minimized Cost Programming Method for Farming Machines’ Distribution Based on Reliability Analysis

Abstract. Mathematical Programming is an important part of farming-machines-distributing theory, and has been widely applied into actual productivities owing to its mature development. However traditional programming methods also have their defects. Firstly previous programming models only considered climate factors when calculating the probability of field work in spite of mechanical failures. Secondly scrap and renewal are not concerned in annual cost accounting. From the viewpoint of agricultural machinery service, this paper puts forward an optimal distributing method for field operation based on programming theory, considering daily reality in breakdown and reparability management. Part one includes all the affecting factors and hypotheses required before building this model. Part two defines symbols used in latter formulas. Part three is the most important work that explains how to calculate time cost under different kinds of failures. After restrictions are given in part four, part five synthesizes divided cost accountings to form an objective function. Minimized cost is made as the objective function with variables being the numbers of each machine type in each day. This paper takes scrap and renewal into consideration when calculating annual cost.