Anna University Chennai 2007-2nd Year M.B.A Business Administration -operation research - Question Paper

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8.             What is l.p.p? how its used to decision making? explain with suitable example.

9.             At a public telephone booth in a post office arrivals, are considered to be poison with an average inter-arrival time of 12 min. The length of a phone call may be assumed to distributed exponentially with an average of 4 min.

 

a)      What is the probability that a fresh arrival will not have to wait for the phone?

b)      What is the probability that an arrival will have to wait more than 10 min before the phone is free?

c)      What is the average length of queues that form time to time?

 

10.         What is Decision Tree? How its used in Decision Making. explain with suitable example.

 

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Register Number: 4743

 

Name of the Candidate:

 

M.B.A. Degree EXAMINATION, 2007

 

(English medium)

 

(Second year)

pAPER -XIV

260. operations research

 

Dec.) (Time: 3 Hours

Maximum: 75 Marks

 

PART-A (53=15)

 

Answer any Five questions

All questions carry equal marks

 

1.             a) Point three important characteristics of operation Research?

 

b)   What do you mean by cluster Analysis?

 

c)    What is the use of simulation in Managerial decisions?

 

d)   What is PERT?

 

e)    What is single channel Queuing model?

 

f)    What is Discernment Analysis?

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g)   What is known as conditional profits?

 

h)   What is called as feasible solution?

 

PART-B (310=30)

Answer any THREE of the following

All questions carry equal marks

 

2.             Solve the following game

B

B₁ B₂

A

 

3.             A bank has two counters for withdrawals, counter (1) handles withdrawals of value less than Rs 300 and counter (2) Rs. 300 and above. Analysis of services time shows a negative exponential distribution with mean services time of 6 min per customer for both the counters. Arrival of customers follows poison distribution with mean eight per hour for counter I an five per hour for counter 2.

 

4.             What is PERT? Explain with suitable example with division making.

 

5.             Minimize z=2x₁+3x₂+4x₃

Subject to the constraints:

2x₁+3x₂+5x₃2

3x₁+x₂+7x₃ = 3

x₁+4x₂+6x₃5

x₁,x₂0 and x₂ is un restricted.

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6.             1999, a project consists of a series of tasks labelled, A,BI with the following relationships (w<x,y means x and y cannot start until w is completed; x,y<w means w cannot start until both x and y one completed) with this notation construct the network diagram having the following constraints.

A<D, E; B, D<F; C>G: B<H; FG<I

Find also the minimum time of completion of the project, where the time (in days) of completion of each task is as follows.

Task	A	B	C	D	E	F	G	H	I
Time	23	8	20	16	24	18	19	4	10

 

PART-c (215=30)

Answer any TWO questions,

all questions carry equal marks.

 

7.             A company has received a contract to supply gravel for three new construction projects in towns A,B and C. The company has computed the delivery cost from each plant to each project site. These costs are shown in the following table.

Towns

Find the optional schedule with minimum cost?