koorio.com
海量文库 文档专家
当前位置:首页 >> 数学 >>

11-12-2Operations Research期末试题(应数)A


山东财经大学 2011--2012 学年第 2 学期期末试题
Operations Research(05005022)试卷 (A)
题号 得分 签字
学 号





















总分

注意事项:所有的答案都必须写在答题纸(答题卡)上,答在试卷上一律无效。

I. Judgement(2’×5=10’) 1.A basic solution to the linear programming problem corresponds to a point of its feasible region.( ) ) )

2.A basic solution is inevitably a feasible solution.(
姓 名

3.The dual simplex method is devised for the dual problems.(

4.The big M method is able to find an initial feasible base for the linear programming problem.( )

5.The traveling salesman problem is related to the Hamiltonian graphs.(
班 级

)

II. Cloze(2’×5=10’) 1.An optimal solution to the linear programming problem

?min z ? x1 ? x 2 ?s.t. x1 ? x 2 ? ?1 ? is_______________. ? x1 ? x 2 ? ?1 ? ? x1 , x 2 ? 0 ?
学 院

2.The

conventional

algorithm

for

the

assignment

problem

第 1 页 共 4 页

is_______________. 3.The content of the strong duality is that_______________. 4.Write out the LINGO program for the integer programming problem
?max z ? 2 x1 ? x 2 ?s.t. 5 x1 ? 4 x 2 ? 24 ? :_______________. ? 2 x1 ? 5 x 2 ? 13 ? ? x1 , x 2 ? 0, int egers ?

5.A tree is_______________. III. Computation(60’) 1.(15 分)A plant plans to manufacture two kinds of products A and
B with 3500 labors,4000 kilograms materials and 2000 kilowatt-hours

electric power. The labors,materials and electric power consumed by per kilogram A and B ,as well as the profits of per kilogram A and
B ,are given as the table below:

products
A B

labors 7 5

materials electric power profit 5 8 2 5 6 7

Then how should a production plan be made to maximize the total profits?You are required to construct a linear programming model for this problem and solve it with the simplex method. 2.(15 分)Let the following data be for a certain transportation problem: m ? 3 , n ? 4 , d ? (10,7,5,5,6,3,8)T , c ? (7,9,4,2,3,6,2,1,1,2,5,4)T . You are asked to formulate it as a mathematical model(concrete model needed) and find its initial basic feasible solution(two methods needed). 3.(10 分)Consider the following linear programming problem
第 2 页 共 4 页

?max z ? x1 ? 2 x 2 ? 3 x3 ? 4 x 4 ?s.t. x1 ? 2 x 2 ? 3 x3 ?2 ? ? 2 x1 ? x 2 ? 2 x4 ? 2 ? ? x1 , x 2 , x3 , x 4 ? 0 ?

Given an optimal solution y ? (1,2)T to the dual problem for it,you are asked to find an optimal solution to it. 4.(10 分)A warehouse stores three kinds of commodities,the unit weight(ton per article) and unit value(dollar per article) of which are provided by the following table: unit weight 2 3 4

commodities 1 2 3

unit value 100 140 180

These commodities are to be transported to a market with a total transportation capacity of 10 tons. Then how should we make a transportation plan to maximize the total values? You are requested to formulate the problem as a mathematical programming model and write out the dynamic programming recursion formula for it. 5. 10 分) ( When we use the simplex method to solve the linear programming problem
?min z ? ?4 x1 ? 5 x 2 ? x3 ? 7 x 4 ?s.t. 8 x1 ? 4 x 2 ? 6 x3 ? x 4 ? 120 ? ? x1 ? 3 x 2 ? 2 x3 ? 2 x 4 ? 30 ? ? 3x1 ? 8 x 2 ? 2 x3 ? 2 x 4 ? 150 ? ? x1 , x 2 , x3 , x 4 ? 0 ?

we get the final simplex table

第 3 页 共 4 页

xB
x1 x4 x7

x1 x2 x3 x4 x5
1 0 0 0
1 3 4 3 13 3 17 ? 3 2 3 2 3 5 3 19 ? 3

x6
1 ? 15 8 15 13 ? 15 52 ? 15

x7
0 0 1 0

b
14 8 92 -112

0 1 0 0

z

2 15 1 ? 15 4 ? 15 1 ? 15

(1)Analyze the sensitivity for the coefficient c2 in the objective function ; ( 2 ) If the objective function changes into z ? ?4x1 ? 10x2 ? x3 ? 7 x4 ,then what about the optimal solution? IV. Graphing(10’) Find the shortest paths from the vertex v1 to the rest in the following weighted digraphs:
v2
3 4 2 1 2 4

v5
2 1

v1

v3

5 1 2 4

v6 5
2

v8

v4

v7

V. Application(10 分) The hydrocarbon(烃),the mother of organic compounds,is one kind of organic compound composed by carbon and hydrogen. The combination price of hydrogen tom in any type of hydrocarbon is always 1. The alkanes(烷烃) belong to the saturated group of hydrocarbons,the combination price of carbon atom in which is 4. Moreover,there is no cycle formed by any chemical bonds. According to the information above you are asked to prove that the molecular formula of alkanes is Cn H 2n?2 .

第 4 页 共 4 页


推荐相关:

11-12--13-14-2《高等数学A(工科数学分析)》第二学期期...

11-12--13-14-2《高等数学A(工科数学分析)》第二学期期末考试试卷(统计分析)_理学_高等教育_教育专区。河南理工大学 2011-2012 学年第 学期《高等数学 a...


11-12-2-A概率试题及答案

2011-2012-2《概率论与数理统计》期末试题(A) 一...1 2 3 4 5 6 7 8 9 10 11 12 B D B D...得分数,Y 表对目标独立射击 4 发命中目标发数, ...


11-12-2单片机原理与应用考试试卷A

11-12-2单片机原理与应用考试试卷A_工学_高等教育...期末考试试题卷(A) 适用班级:B100501/02/03/04/...外接晶振 在单片机中,如果数码管的个数较多,常用的...


重庆理工大学11-12(下)高数A参考答案及评分标准 2

重庆理工大学11-12(下)高数A参考答案及评分标准 2_理学_高等教育_教育专区。高数期末试题 A 参考答案及评分标准 一、判断题(本大题共 5 小题,每小题 2 分...


软件工程导论期末试题A(带答案)

软件工程导论期末试题A(带答案)_工学_高等教育_...1 D 11 D 2 D 12 D 3 C 13 A 4 B 14 ...(C) Class name (D) Class operations 14. The...


11-12第2学期高数A卷(参考答案)

11-122学期高数A卷(参考答案)_理学_高等教育_...期末考试试卷(A 卷参考答案)课程名称:高职应用数学 ...


12-13学年第2学期计算机操作系统期中考试A卷(11级)

12-13学年第2学期计算机操作系统期中考试A(11级...时刻到达,优先数 60,需耗时 3s,则 CPU 的服务...1/2 相关文档推荐 计算机操作系统3套期末考... 4...


11-12-2概率统计答案(A卷)

11-12-2概率统计答案(A卷)_理学_高等教育_教育专区。概率统计期末答案 2011—2012 学年第二学期闽江学院试卷 参考答案与评分标准考试课程:概率统计 试卷类别:A ...


常州大学 吴志敏 数电期末试题11-12-1-A卷

常州大学 吴志敏 数电期末试题11-12-1-A卷_理学_高等教育_教育专区。常州大学...输入端应该 A、接高电平 B、接地 C、悬空 2、存在空翻现象的触发器是 A、...


11-12九年级数学期末试题四年制

11-12九年级数学期末试题四年制_初三数学_数学_初中教育_教育专区。九年级上...连接 O 1 O 2 . 求证:O 1 A∥O 2 B. B O1 P O2 A (第 16 ...

网站首页 | 网站地图
All rights reserved Powered by 酷我资料网 koorio.com
copyright ©right 2014-2019。
文档资料库内容来自网络,如有侵犯请联系客服。zhit325@126.com