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MB0048_MBA_Sem2_Fall/August 2012
Master of Business Administration – MBA Semester 2
MB0048 – Operations Research- 4 Credits
Assignment Set- 1 (60 Marks)
Note: Each question carries 10 Marks. Answer all the questions.
Q.1 Maximise z = 3×1 + 4×2
Subject to constrains 5×1 + 4×2≤ 200;
3×1 + 5×2 ≤150;
5×1 + 4×2≤100;
8×1 + 4×2≤80,
x1≤ 0, x2≤ 0
Answer : The
Q.2 State the ways in which customers in a queue are served.
Answer : Queuing theory is the mathematical study of waiting lines, or queues. In queuing theory a model is constructed so that queue lengths and waiting times can be predicted.
Queuing theory started
Q.3 Explain the use of simulation in networks? What are the advantages of using simulation?
Answer :
Simulation: is a representation of reality through the use of a model or other device, which will react in the similar manner as reality under a given set of conditions.
Q.4 Explain maximin-minimax principle. Briefly describe the characteristics of competitive game
Answer : Maxim in – Minima Principle
Q.5 A project has 10 activities. The following table shows the information about the activities.
Table 14.5: Activities information
| Activity | Preceding activity | Duration in weeks |
| A | – | 6 |
| B | – | 3 |
| C | A | 5 |
| D | A | 4 |
| E | A | 3 |
| F | C | 3 |
| G | D | 5 |
| H | B, D, E | 5 |
| I | H | 2 |
| J | I, G, F | 3 |
- Draw the network
- Find the project duration
- Identify the CPM
- Prepare the schedule
Answer :
Q.6 Discuss different types of service systems?
Answer : Partly based on the experiences of SusProNet, a major Thematic network under the EU’s 5th Framework Research Programme, this paper discusses the environmental and economic prospects of product-service systems (PSS). Since unlike
MB0048_MBA_Sem2_Fall/August 2012
Master of Business Administration – MBA Semester 2
MB0048 – Operations Research – 4 Credits
Assignment Set- 2 (60 Marks)
Note: Each question carries 10 Marks. Answer all the questions.
Q.1 Explain project management (PERT) & Project scheduling of PERT.
Answer : Some key points about PERT are as follows:
1. PERT was developed in connection with an R&D work. Therefore, it had to cope with the uncertainties that are associated with R&D activities. In PERT, the total project duration is regarded as a random variable. Therefore, associated probabilities are calculated so as to characterise it.
Q.2 Write a short note on Monte-Carlo simulation? What are the Limitations of using Simulation?
Answer : Simulation is also called experimentation in the management laboratory. While dealing with business problems, simulation is often referred to as ‘Monte Carlo Analysis’. Two American mathematicians, Von Neumann and Ulan, in the late 1940s found a problem in the field of nuclear physics too complex for analytical solution and too dangerous for
Q.3 In a rectangular game, pay-off matrix of player A is as follows:
I) Solve the game.
ii) Write down the pay-off matrix of B and then, solve the game.
Answer : Value is
Q.4 A marketing manager has 5 salesmen and 5 sales districts. Considering the capabilities of the salesman and the nature of districts, the marketing manager estimates that the sales per month (in hundred rupees) for each salesman in each district would be as follows.
| Sales districts | A | B | C | D | E | |
| Salesmen | 1 | 32 | 38 | 40 | 28 | 40 |
| 2 | 40 | 24 | 28 | 21 | 36 | |
| 3 | 41 | 27 | 33 | 30 | 37 | |
| 4 | 22 | 38 | 41 | 36 | 36 | |
| 5 | 29 | 33 | 40 | 35 | 39 |
Find the assignment of salesman to districts that will result in maximum sales.
Answer : Solution:
Q.5 Define PERT & CPM. Write down the basic difference between PERT and CPM.
Answer : A PERT chart is a project management tool used to schedule, organize, and coordinate tasks within a project. PERT stands for Program Evaluation Review Technique, a methodology developed by the U.S. Navy in the 1950s to manage the Polaris submarine missile program. A similar methodology, the Critical Path Method (CPM) was developed for project management in the private sector at about the same time.
Q.6 Explain Linear programming problem by giving two examples & write any 3 applications of Linear Programming problem Salesman
Answer : The LPP is a class of mathematical programming
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