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运筹学 宁波大学 2017年博士研究生考博真题

运筹学 宁波大学 2017年博士研究生考博真题
运筹学 宁波大学 2017年博士研究生考博真题

宁波大学2017年博士研究生招生考试初试试题(B卷)

(答案必须写在考点提供的答题纸上)

科目代码: 3825 科目名称:运筹学

第 1 页共2 页

运筹学离线作业

第2章 1.某公司计划生产两种产品,已知生产单位产品所需的三种原材料的消耗及所获的利润,如下表所示。问应如何安排生产使该工厂获利最多?(建立模型,并用图解法

及所获的利润,如下表所示。问应如何安排生产使该工厂获利最多?(建立模型,

3. 下表是一个线性规划模型的敏感性报告,根据其结果,回答下列问题:

1)是否愿意付出11元的加班费,让工人加班; 2)如果工人的劳动时间变为402小时,日利润怎样变化? 3)如果第二种家具的单位利润增加5元,生产计划如何变化?Microsoft Excel 9.0 敏感性报告 工作表 [ex2-6.xls]Sheet1 报告的建立: 2001-8-6 11:04:02 可变单元 格 终递减目标 式允许的允许的 单元格名字值成本系数增量减量$B$15 日产量(件)100 20 60 1E+30 20 $C$15 日产量(件)80 0 20 10 2.5 $D$15 日产量(件)40 0 40 20 5.0 $E$15 日产量(件)0 -2.0 30 2.0 1E+30 约束 终阴影约束允许的允许的 单元格名字值价格限制 值增量减量 $G$6 劳动时间(小时/件) 400 8 400 25 100 $G$7 木材(单位/件)600 4 600 200 50 $G$8 玻璃(单位/件)800 0 1000 1E+30 200 解: 1)在不影响生产计划的情况下劳动时间的范围[300,425], 此时劳动时间增加1小时,利润增加8*1=8元。即工人加班产生的利润为8元/小时, 则如果付11元的加班费产生的利润为8-11=-3元/小时。利润减少。则不愿意付11元加班费,让工人加班。 2) 在不影响生产计划的情况下劳动时间的范围[300,425], 劳动时间变为402小时,在允许的变化范围内,利润增加8*2=16元/日。 3)第二种家具的单位利润增加5元,则利润为25元, 在第二种家具的允许范围[17.5.,30]内,则生产计划不会变化。 利润增加量为:80*5=400元 4某公司计划生产两种产品,已知生产单位产品所需的三种原材料的消耗及所获的利润,如下表所示。问应如何安排生产使该工厂获利最多?(建立模型,并用图解法求

考博英语历年真题

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解:通过分析确定决策变量:设星期一至星期天开始休息的人数分别为x1,x2,x3,x4,x5,x6,x7;则可以确定目标函数:Min = x1 +x2+x3+x4+x5+x6+x7 通过上表可以确定约束条件有: x1+x2+x3+x4+x5 >=28 x2+x3+x4+x5+x6>=15 x3+x4+x5+x6+x7>=24 x4+x5+x6+x7+x1>=25 x5+x6+x7+x1+x2>=19 x6+x7+x1+x2+x3 >=31 x7+x1+x2+x3+x4>=28 x1,x2,x3,x4,x5,x6,x7>=0 因此,可以建立下列数学模型: Min = x1 +x2+x3+x4+x5+x6+x7 x1+x2+x3+x4+x5 >=28 x2+x3+x4+x5+x6>=15 x3+x4+x5+x6+x7>=24 x4+x5+x6+x7+x1>=25 x5+x6+x7+x1+x2>=19 x6+x7+x1+x2+x3 >=31 x7+x1+x2+x3+x4>=28 x1,x2,x3,x4,x5,x6,x7>=0

江南大学考博英语历年考题汇总附答案

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With much fanfare, President Clinton’s administration launched the “No Sweat” campaign, which pressured retailers and manufacturers to submit to periodic independent inspection of their workplace conditions.; This campaign urged manufacturers to sign the Workplace Code of Conduct, a promise to self regulate that has since been adopted by a handful of retailers and many of the nation ’s largest manufacturers, including Nike and L.L. Bean. However, the Department of Defense, which has a $ 1 billion garment business that would make it the country’s 14th largest retail apparel outlet, has not signed the Code of Conduct. In addition, it has not agreed to demand that its contractors submit to periodic inspections.; Because the Department of Defense has not agreed to adhere to the code, the job of stopping public sector sweatshops falls to the Department of Labor. Federal contractors that persist in violating wage laws or safety and health codes can lose their lucrative taxpayer financed contracts. But Suzanne Seiden, a deputy administrator at the Department of Labor, says that to her knowledge, the department has never applied that rule to government apparel manufacturers. “I just assume that they are adhering to safety and health requirements,” she says. According to records obtained by Mother Jones, through a Freedom of Information Act request, the Occupational Safety and Health Administration has cited Lion 32 times for safety and health violations in the past 12 years. 21.What is this passgage mainly concerned with? A)The functions of the Department of Labor in America. B)A serious problem threatening American economy. C)The successful attempt of regulating sweatshops in America. D)The seriousness of the problem of sweatshops in America. 22.According to the passage, Kathie Gifford ____. 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B) To remind the manufacturers of the Workplace Code of Conduct. C) To urge the Department of Labor to take its responsibility. D) To urge the Department of Defense to inspect manufacturers. Passage Two Questions 26 to 30 are based on the following passage: The term investment portfolio conjures up visions of the truly rich-the Rockefellers, the Wal Mart Waltons, Bill Gates. But today, everyone-from the Philadelphia firefighter, his part time receptionist wife and their three children, to the single Los Angeles lawyer starting out on his own-needs a portfolio.; A portfolio is simply a collection of financial assets. It may include real estate, rare stamps and coins, precious metals and even artworks. But those are for people with expertise. What most of us need to know about are stocks, bonds and cash (including such cash equivalents as money market funds).; How do you decide what part of your portfolio should go to each of the big three? 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运筹学作业

No .1 线性规划 1、某织带厂生产A 、B 两种纱线和C 、D 两种纱带,纱带由专门纱线加工而成。 工厂有供纺纱的总工时7200h ,织带的总工时1200h 。 (1) 列出线性规划模型,以便确定产品的数量使总利润最大; (2) 如果组织这次生产具有一次性的投入20万元,模型有什么变化?对模型的 解是否有影响?(所谓一次性投入就是与产量无关的初始投资) 2、将下列线性规划化为极大化的标准形式 3、用单纯形法解下面的线性规划 ??? ??? ?≥≤++-≤++-≤-+++= ,0,,4205.021********* ..352)(m ax 3213213213213 21x x x x x x x x x x x x t s x x x x f No .2 两阶段法和大M 法 2、用大M 法解下面问题,并讨论问题的解。 ??? ??? ?≥≥++≤++-≤++++= ,0,,52151565935 ..121510)(max 3213213213213 21x x x x x x x x x x x x t s x x x x f 1、用两阶段法解下面问题: ??? ??≥≥+≥++=0,75 3802 ..64)(min 2 121212 1x x x x x x t s x x x f ?????? ?±≥≤+-=-+--≥-+++=不限 321321321321321 ,0,13|5719|169765 ..532)(m in x x x x x x x x x x x x t s x x x x f

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长安大学考博英语历年真题-题型-参考书-分数线-资料-育明考博

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