diff_months: 4

OPERATIONS RESEARCH DMBA205

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Added on: 2025-05-19 10:26:20
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  • Subject Code :

    DMBA205

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ASSIGNMENT

SESSION

jul - aug 2024

PROGRAM

MASTER OF BUSINESS ADMINISTRATION (MBA)

SEMESTER

II

course CODE & NAME

DMBA205 & OPERATIONS RESEARCH

CREDITS

04

nUMBER OF ASSIGNMENTS & Marks

02

30 MARKS EACH

Note:Answer all questions. Kindly note that answers for 10 marks questions should be approximately 400 - 450 words. Each question is followed by an evaluation scheme.

Q.No

Assignment Set 1

Questions

Marks

Total Marks

1.

What is Operations Research? Write in brief the advantages and limitations of Operations Research.

3+4+4

10

2.

Solve the given linear programming problem:

Maximize Z = 3x1+ 2x2+ x3

Subject to: -3x1+2x2+ 2x3= 8

-3x1+ 4x2+ x3= 7

where x1, x2, x3? 0

10

10

3.

Find the Initial Basic Feasible Solution (IBFS) using VAM and Optimal solution using MODI method for the given transportation problem.

D1

D2

D3

D4

Supply

S1

21

16

25

13

11

S2

17

18

14

23

13

S3

32

27

18

41

19

Demand

6

10

12

15

4+6

10

Q.No

Assignment Set 2

Questions

Marks

Total Marks

4.

A company has four zones open and four salesmen available for assignments. The zones are not equally rich in their sales potentials. It is estimated that a typical salesman operating in each zone would bring in the following annual sales:

Zone A

Rs. 126000

Zone B

Rs. 105000

Zone C

Rs. 84000

Zone D

Rs. 63000

The four salesmen are also considered to differ in ability. It is estimated that working under the same conditions their yearly sales would be proportionately as follows:

Salesman P:7; Salesman Q: 5; Salesman R:5; Salesman S:4

If the criterion is maximum expected total sales, it is expected to assign the best salesman to the richest zone and the next best to the second richest zone and so on. Solve the given assignment problem using Hungarian Method.

10

10

5.

a) What is Queuing system? Briefly explain the important Operating characteristics of Queuing system.

b) A self-service store employs one cashier at its counter. An average of 9 customers arrives every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service rate, find

i. Average number of customers in the system.

ii. Average number of customers in queue or average queue length.

iii. Average time a customer spends in the system.

iv. Average time a customer waits before being served.

5+5

10

6.

What is Simulation? Write in detail the steps used in simulation processes.

4+6

10

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