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Methodology Of Operational Research Smu Assignment

 

ASSIGNMENTS- MBA Sem-II

MB0032 – OPERATIONS RESEARCH

Examples of applications in which operations research is currently usedinclude:

Critical path analysis or project planning: identifying thoseprocesses in a complex project which affect the overall duration of the project

Designing the layout of a factory for efficient flow of materials

constructing a telecommunications network at low cost while stillguaranteeing QoS (quality of service) or QoS (Quality of Experience)if particular connections become very busy or get damaged

Road traffic management and 'one way' street allocations i.e.allocation problems.

Determining the routes of school buses (or city buses) so that as fewbuses are needed as possible

designing the layout of a computer chip to reduce manufacturingtime (therefore reducing cost)

Managing the flow of raw materials and products in a supply chainbased on uncertain demand for the finished products

Efficient messaging and customer response tactics

Robotizing or automating human-driven operations processes

Globalizing operations processes in order to take advantage of cheaper materials, labor, land or other productivity inputs

Managing freight transportation and delivery systems (Examples:LTLhttp://en.wikipedia.org/wiki/Less-Than-Truckload_%28LTL%29_ShippingShipping, intermodal freight transport)

Scheduling:

o

Personnel staffing

o

Manufacturing steps

o

Project tasks

o

Network data traffic: these are known as queuing models orqueueing systems.

o

sports events and their television coverage

Blending of raw materials in oil refineries

Determining optimal prices, in many retail and B2B settings, withinthe disciplines of pricing scienceOperations research is also used extensively in government whereevidence-based policy is used.

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SMU DRIVE FALL 2017 MBA 205 – Operation research solved free assignment
Define the Linear programming problem in operation Research. Also, explain various assumptions, advantages and limitations of linear programming problem.
A
Linear programming problem in operation Research
Assumptions of linear programming problem
Advantages of linear programming problem
Limitations of linear programming problem
2.5
2.5
2.5
2.5
10
2
a. Discuss the concept of Degeneracy in transportation problem
b. The ABC Tool Company has a sales force of 25 men who work out from Regional offices. The company produces four basic products lines of hand tools. Mr. Jain, the sales manager, feels that 6 salesmen are needed to distribute product line 1, 10 salesmen are needed to distribute product line 2, 4 salesmen to product line 3 and 5 salesmen to product line 4. The cost per day of assigning salesmen from each of the offices for selling each of the product lines are as follows
Regional office
Product Lines
푷ퟏ
푷ퟐ
푷ퟑ
푷ퟒ
푹ퟏ
20
21
16
18
푹ퟐ
17
28
14
16
푹ퟑ
29
23
19
20
Now, 10 salesmen are allowed to office 푹ퟏ , 9 salesmen to office 푹ퟐ, and 7 salesmen to office 푹ퟑ.
How many salesmen should be assigned from each office to selling each product line in order to minimize costs?
A
Degeneracy in transportation problem
Optimum allocation.
Optimum transportation cost
4
3
3
10
3
a. Elaborate the meaning of Simulation.
b. What are different Practical applications of simulation
A
Meaning of Simulation.
Practical applications of simulation
2
8
10
SET-II
1
a. Define the meaning of assignment problem in operation Research.
b. A Departmental head has four subordinates and four task to be performed. The subordinates differ in efficiency and the tasks differ in their intrinsic difficulty. His estimate of the times each man would take to perform each task is given in the following matrix-
Tasks
Subordinates
I
II
III
IV
A
8
26
17
11
B
13
28
4
26
C
38
19
18
15
D
19
26
24
10
How should the tasks be allocated to subordinates to minimize the total man-hours?
A
Description of assignment problem
Optimum allocation through Hungarian method
4
6
10
2
Define following criteria’s used for decision making under Uncertainty
a. Optimism (maximax or minimin) criterion
b. Pessimism (maximin or minimax) criterion
c. Equal probabilities (Laplace) criterion
d. Coefficient of optimism (Hurwicz) criterion
e. Regret (salvage) criterion
A
a. Optimism (maximax or minimin) criterion
b. Pessimism (maximin or minimax) criterion
c. Equal probabilities (Laplace) criterion
d. Coefficient of optimism (Hurwicz) criterion
2
2
2
2
10

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