当前位置:文档之家› 天大2018年12月考试《运筹学》离线作业考核试题【标准答案】

天大2018年12月考试《运筹学》离线作业考核试题【标准答案】

天大2018年12月考试《运筹学》离线作业考核试题【标准答案】
天大2018年12月考试《运筹学》离线作业考核试题【标准答案】

运筹学

要求:

一、独立完成,下面已将五组题目列出,请按照学院平台指定

..的做题组数作

答,

每人只

....,满分100分;

...答.一组题目

....,多答无效

平台查看做题组数操作:学生登录学院平台→系统登录→学生登录→课程考试→离线考核→离线考核课程查看→做题组数,显示的数字为此次离线考核所应做哪一组题的标识;

例如:“做题组数”标为1,代表学生应作答“第一组”试题;

二、答题步骤:

1.使用A4纸打印学院指定答题纸(答题纸请详见附件);

2.在答题纸上使用黑色水笔

..作答;答题纸上全部信息要求手

....按题目要求手写

写,包括学号、姓名等基本信息和答题内容,请写明题型、题号;

三、提交方式:请将作答完成后的整页答题纸以图片形式依次粘贴在一个

.......Word

....

文档中

...上传(只粘贴部分内容的图片不给分),图片请保持正向、清晰;

1.上传文件命名为“中心-学号-姓名-科目.doc”

2.文件容量大小:不得超过20MB。

提示:未按要求作答题目

....0.分记

..!

.....,成绩以

...及雷同作业

........的作业

题目如下:

第一组:

计算题(每小题25分,共100分)

1、某企业生产三种产品A1、A

2、A3。每种产品在销售时可能出现销路好(S1),销路一般(S2)

和销路差(S3)三种状态,每种产品在不同销售状态的获利情况(效益值)如表1所示,请按乐观法则进行决策,选取生产哪种产品最为合适。

表1

2、已知运输问题的运价表和发量和收量如表2所示,请用最小元素法求出运输问题的一组解。

表2

3、下列表3是一个指派问题的效率表(工作时间表),其中A i 为工作人员(i=1, 2, 3, 4)、B j 为

工作项目(j=1, 2, 3, 4),请作工作安排,使总的工作时间最小。

表3

4、有一化肥厂用两种原料A,B 生产C,D,E 三种化肥,根据市场调查某地区各种化肥每天最少需求分别为100吨,60吨,130吨。该厂每天可供的原料分别为200吨和240吨。单位成品化肥所耗费的原料及销售利润如下表。问每天应生产多少各类化肥,使该厂利润最大。要求建立线性规划模型,不作具体计算。

B 1 B 2 B 3 B 4 A

1 9 A

2 4 A

3 5

3 5

4 6

B 1 B 2 B 3 B 4

A 1 A 2 A 3 A 4

第二组:

计算题(每小题25分,共100分)

1、下列表是三个不同模型的线性规划单纯形表,请根据单纯形法原理和算法,分别在表中括号中填上适当的数字。

1. 计算该规划的目标函数值

2.确定上表中输入,输出变量。

2、已知一个线性规划原问题如下,请写出对应的对偶模型

max 12

25S x x =+

121212438,0x x x x x x ≤??≤??

+≤??≥?

3、设有某种肥料共6个单位,准备给4块粮田用,其每块粮田施肥数量与增产粮食的关系如下表所示。试求对每块田施多少单位重量的肥料,才能使总的粮食增产最多。

4、求下面问题的对偶规划 极大化

1234

3257z x x x x =--+

C j → 20 15 20 0 0 Ci x B b

x 1 x 2 x 3 x 4 x 5 20 x 1 2 20 x 3 1 0 x 5 3

z j c j -z j

0 -15 0 10 0

1234134123423272+223248

x x x x x x x x x x x ??

??

?+-+≥---≤--+-≥

12340,0,0,x x x x ≥≥≤无非负限制。

第三组:

计算题(每小题25分,共100分)

1.福安商场是个中型的百货商场,它对售货人员的需求经过统计分析如下表所示,为了保证售货人员充分休息,售货人员每周工作五天,休息两天,并要求休息的两天是连续的,问该如何安排售货人员的休息,既满足了工作需要,又使配备的售货人员的人数最少,请列出此

2、某厂生产甲、乙两种产品,这两种产品均需在A 、B 、C 三种不同的设备上加工,每种产品在不同设备上加工所需的工时不同,这些产品销售后所能获得利润以及这三种加工设备因各种条件限制所能使用的有效加工总时数如下表所示:

问:该厂应如何组织生产,即生产多少甲、乙产品使得该厂的总利润为最大

3、用图解法求解

min z =-3x1+x2 .

?????

????≥≤+≥+≤≤0

8

2125234212

12121

x x x x x x x x ,

4、用单纯形法求解 max z =7x1+12x2 .

??????

?≥≤+≤+≤+0300103200543604921212121x x x x x x x x ,

第四组:

计算题(每小题25分,共100分)

、B 两人分别有10分(1角)、5分、1分的硬币各一枚,双方都不知道的情况下各出一枚,规定和为偶数,A 赢得8所出硬币,和为奇数,8赢得A 所出硬币,试据此列出二人零和对策模型,并说明此游戏对双方是否公平。

2、用图解法求解 max z = 6x1+4x2 .

⑵ ⑶ ⑷ ⑸

⑹、⑺

⑵ ⑶ ⑷ ⑸、⑹

1212212

210870x x x x x x x +≤??+≤??

≤?

?≥?, ⑴

3、用单纯形法求解 max z =70x1+30x2 .

??????

?≥≤+≤+≤+072039450555409321212121x x x x x x x x ,

4.某企业要用三种原材料A 、B 、C 生产出出三种不同规格的产品甲、乙、丙。已知产品的规格要求,产品单价,每天能供应的原材料数量及原材料单价,分别见表1和表2。该企业应如何安排生产,使利润收入为最大

表1

第五组:

计算题(每小题25分,共100分)

1、用标号法求下列网络V 1→V 7的最短路径及路长。

2、某企业生产三种产品A 1、A 2、A 3。每种产品在销售时可能出现销路好(S 1),销路一般(S 2)和销路差(S 3)三种状态,每种产品在不同销售状态的获利情况(效益值)如表所示,请按乐观法则进行决策,选取生产哪种产品最为合适。

3、下列表是一个指派问题的效率表(工作时间表),其中A i 为工作人员(i=1, 2, 3, 4)、B j 为工作项目(j=1, 2, 3, 4),请作工作安排,使总的工作时间最小。

4、下列表是三个不同模型的线性规划单纯形表,请根据单纯形法原理和算法,分别在表中括号中填上适当的数字。

B 1 B 2 B 3 B 4

A 1

A 2 A 3 A 4

V 1 V 7

V 5 V 6

V 4

V 3

V 2 5

4 3

5 3 1

7 6

1

7

3

1

1. 计算该规划的目标函数值

C j →20 15 20 0 0

Ci x B b x1x2x3x4x5

20 x1 2

20 x3 1

0 x5 3

z j

c j-z j0 -15 0 10 0

2、确定上表中输入,输出变量。

2018年12月英语四级真题(第一套)

2018年12月英语四级真题(第一套) Part I Writing (30 minutes) Directions: For this part,you are allowed 30 minutes to write a short essay on the challenges of starting a career after graduation. You should write at least 120 words but no more than180 words. PartⅡ Listening Comprehension (25 minutes) 关注公众号“春秋大道”,无偿得到全部英语四六级历年真题(更新至2018年12月)+听力原频 Section A Directions: In this section, you will hear three news reports. At the end of each news report, you will hear two or three questions. Both the news report and then questions will be spoken only once. After you hear a question, you must choose the best answer from the four choices marked A),B), C) and D).Then mark the corresponding letter on Answer Sheet 1with a single line through the centre. Questions 1 and 2 are based on the news report you have just heard. 1.A) Land a space vehicle on the moon in 2019. B) Design a new generation of mobile phones. C) Set up a mobile phone network on the moon. D) Gather data from the noon with a tiny device. 2.A) It is stable. B) It is durable. C) It is inexpensive. D) It is sophisticated.

2018年12月大学英语四级真题完整版

2018年12月大学英语四级真题完整版(第3套) Part I Writing (30 minutes) Directions: For this part,you are allowed 30 minutes to write a short essay on the challenges of studying abroad. You should write at least 120 words but no more than180 words. PartⅡ Listening Comprehension (25 minutes) Part Ⅲ Reading Comprehension ( 40 minutes) Section A Directions: In this section, there is a passage with ten blanks. You are required to select one word for each blank from a list of choices given in a word bank following the passage. Read the passage through carefully before making your choices. Each choice in the bank is identified by a letter. Please mark the corresponding letter for each item on Answer Sheet 2 with a single line through the centre. You may not use any of the words in the bank more than once. Questions 26 to 35 are based on the following passage. Have you ever used email to apologize to a colleague Delivered a 26 to a subordinate (下属) with a voice-mail message Flown by plane across the country just to deliver important news in person The various communication options at our fingertips today can be good for 27 and productivity---and at the same time very troublesome. With so many ways to communicate, how should a manager choose the one that’s best --- 28 when the message to be delivered is bad or unwelcome news for the recipient We’ve 29 business communication consultants and etiquette (礼仪) experts to come up with the following guidelines for 30 using the alterative ways of delivering difficult messages. First of all, choose how personal you want to be. A face-to-face communication is the most 31 .Other choices, in descending order of personalization, are: a real-time phone call, a voice-mail message, a handwritten note, a typewritten letter, and the most 32 is email. Some of these may change order according to the 33 situation or your own preferences; for example, a handwritten note might seem more personal than voice mail. How do you decide on the best choice for the difficult message you’ve got to deliver “My 34 concern is: How can I soften or civilize this message” says etiquette expert Dana Casperson. “So when

2018年12月四级真题(一)解析

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天大2018年12月考试《运筹学》离线作业考核试题(第三组答案)

运筹学 要求: 一、独立完成,下面已将五组题目列出,请按照学院平台指定 ..的做题组数作答, 每人只 ....,满分100分; ...答.一组题目 ....,多答无效 平台查看做题组数操作:学生登录学院平台→系统登录→学生登录→课程考试→离线考核→离线考核课程查看→做题组数,显示的数字为此次离线考核所应做哪一组题的标识; 例如:“做题组数”标为1,代表学生应作答“第一组”试题; 二、答题步骤: 1.使用A4纸打印学院指定答题纸(答题纸请详见附件); 2.在答题纸上使用黑色水笔 ..作答;答题纸上全部信息要求手 ....按题目要求手写 写,包括学号、姓名等基本信息和答题内容,请写明题型、题号; 三、提交方式:请将作答完成后的整页答题纸以图片形式依次粘贴在一个 .......Word .... 文档中 ...上传(只粘贴部分内容的图片不给分),图片请保持正向、清晰; 1.上传文件命名为“中心-学号-姓名-科目.doc” 2.文件容量大小:不得超过20MB。 提示:未按要求作答题目 ....0.分记 ..! ...及雷同作业 .....,成绩以 ........的作业 第三组: 计算题(每小题25分,共100分) 1.福安商场是个中型的百货商场,它对售货人员的需求经过统计分析如下表所示,为了保证售货人员充分休息,售货人员每周工作五天,休息两天,并要求休息的两天是连续的,问该如何安排售货人员的休息,既满足了工作需要,又使配备的售货人员的人数最少,请列出此

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

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