【摘要】 本文用线性规划的静态优化方法,分析研究了钢铁厂钢材产品的最优结构问题。简述了模型的构造、算法框图、结果及其分析,并以某型材厂为实例,说明最优化技术用于生产计划方面所能收到的经济效果。更多还原

【Abstract】 Objective.The optimum structure of rolled products for a steel mill as exemplified in this paper,is a complicated decision problem involving many factors.It means to make maximum profit under such constraint conditions as rough blooms,energy supply,roll line capacity and market demand for goods manufactured by the mill etc.A variety of conditions and requirements should therefore be taken into account.In this respect,the linear planning is available to optimize the structure of rolled products for gaining the economic benifit of the enterprise.Linear models are given based on a comprehensive analysis of material flow and relevant data.The bottleneck in roll line has been perceived to be the main mill throughput in terms of actually annual rolling-hours.Energy consumption (electricity and gas) are calculated in terms of specific consumption rating,limited by higher level,and taking no account of the total quantities of that.The annual resource consumptions of all kinds of rolled products are independent of each other and are expressed as linear functions respectively.Each of specific consumption coefficients of all kinds of rolled products are taken as constants for ascertaining products structure though not always they were.Taking appropriate measures in programming is of importance since the coefficient matrices of constrained equations are sparsely expressed.Computerized results show the linear optimization is of benefit to both output and profit in comparison with the planning not optimized under unchanged conditions.Increases in annual output and profit are over 20,000 tons about 3.5%,and 400,000MB respectively.Effects of rolling-hours and power supply decreasing on annual output and profit are also studied.Finally,a programming for the sensitivity analysis of optimum solution are made to determine the allowable fluctuation limit of parameters. Fig.1 Material flow of a section steel millFig.2 Block diagram a) main program,b) and c) subroutines.Fig.3 Effect of rolling-houres t on annual output p and profit f(x)Fig.4 Effect of power supply decrcaing E on annual output p and profit f(x)更多还原