数学建模《煤矸石堆积模型》.pdf

第 30 卷第 1 期 数学的实践与认识 V o l30　N o 1　 2000 年 1 月 M A TH EM A T ICS IN PRA CT ICE AND TH EO R Y Jan. 2000　 The Calculation of the M in im um Expen se for P iling up Gangue , 　 , 　 ZHON G X iao yong DU AN Guo hu i M A Yu dong (Beijing Institute of C ivil Engineering and A rch itecture, Beijing　100044) : 　 , Abstract T he m ain purpo se of th is article is to draw up a reasonable annual land purchasing , . p rogram fo r p iling up the gangue in the o riginal co lliery and to calculate its m inim um expense Since there is need to consider several facto rs such as depo sit and loan , rising p rices of land, output of gangue, and the charge fo r electricity, a huge calculation should be taken w h ich is im po ssible to accomp lish by hand in a sho rt tim e. T herefo re, w e are go ing to m ake use of comput . er to so lve the comp licated p roblem by setting up different m athem atical models A t the end of th is article w ith a resonable sound so lution to the m inim um expense is ob tained from the varied values betw een the tapp ing rate of gangue and the natural angle of the . 《 》, , p ile T he facto r of L and L aw w h ich are no t invo lved in the o riginal p roblem is also dis