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DMBA 205 -OPERATIONS RESEARCH

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DMBA 205 -OPERATIONS RESEARCH

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Description

Description

SESSION MARCH 2023
PROGRAM MASTER of business administration (MBA)
SEMESTER II
course CODE & NAME DMBA205 – OPERATIONS RESEARCH
CREDITS 4
nUMBER OF ASSIGNMENTS & Marks 02

30 Marks each

 

 

Assignment Set – 1

 

  1. What is Operations Research? Discuss the importance of O.R. in decision making process.

 

  1. Use Two-Phase Simplex Method to solve the following linear programming problem:

Maximize Z    = 5×1+8×2

Subject to:      3×1 + 2×2 ≥3

x1 + 4×2 ≥4

x1 + x2≤5

wherex1, x2 ≥ 0

 

  1. Find the optimum solution of the following Transportation problem using MODI method:

Destination

Supply            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       

 

Assignment Set – 2

 

4.a) What is Simulation? Write the advantages of Simulation.    

 

 

 

4b) Write any five difference between CPM and PERT?           

 

 

  1. The following table gives the activities in a construction project and other relevant information:
Activity (y)  Optimistic

Time (in days)

Most likely

Time(in days)

Pessimistic

Time (in days)

1-2 30 44 54
1-3 8 12 16
2-3 1 2 3
2-4 2 3 5
3-4 8 10 12
4-5 14 22 25

 

  1. i) Draw a PERT diagram and mark clearly the Critical Path.
  2. ii) Determine the expected project length?

iii) What is the probability that the project would be successfully completed in less than 60 days?      4+2+4  10

 

 

 

  1. What is two-person zero sum game? Reduce the following game by dominance property and solve it:

                                       Player B

Player A         B1       B2       B3       B4       B5

                           1       3          2          7          4

                         3         4          1          5          6

                          6        5          7          6          5

                         2         0          6          3          1

 

Additional information

Assignment Type

General, Unique

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