Tuesday 29 July 2014

mb0048 smu mba summer 2014 IInd sem assignment

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DRIVE SUMMER 2014
PROGRAM MBADS/ MBAFLEX/ MBAHCSN3/ MBAN2/ PGDBAN2
SEMESTER II
SUBJECT CODE & NAME MB0048 OPERATIONS RESEARCH

Q1. Discuss the various stages involved in the methodology of Operations Research. Briefly explain the techniques and tools of Operations Research.
(Operations Research Methodology-5, Techniques and tools of Operations Research-5) 10 marks
Answer.
Operations Research Methodology
The first and the most important step in the OR approach of problem solving is to define the problem. One needs to ensure that the problem is identified properly because this problem statement will indicate the following three major aspects:


Q2. Explain the steps involved in linear programming problem formulation. Discuss in brief the advantages of linear programming.
 (Steps involved in LPP-4, Example-3 Advantages of LPP-3) 10 marks
Answer.

Steps of formulating Linear Programming Problem (LPP)

The following steps are involved to formulate LPP :

Step 1 : Identify the decision variables of the problem.

Q3. a. What is degeneracy in transportation problem? How it can be resolved?
b. Solve the following transportation problem using Vogel’s approximation method.
(Degeneracy in transportation problem and resolving it-5, Computation/Solution to the problem-5) 10 marks
Answer.

a.)     
Degeneracy in transportation problem
A basic solution to an m-origin, n destination transportation problem can have at the most m+n-1 positive basic variables (non-zero), otherwise the basic solution degenerates. It follows that whenever the number of basic cells is less than m + n – 1, the transportation problem is a degenerate one. The degeneracy can develop in two ways:
Case 1 - The degeneracy develops while determining an initial assignment via any one of the initial assignment methods
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Q4. a. Explain the steps in Hungarian method. Differentiate between Transportation and Assignment problem.
b. Find the optimal assignment of four job jobs and four machines when the cost of assignment is given by the following table:
(Steps in Hungarian method-3, Differences between Transportation and Assignment problem-3, Computation/Solution to the problem-4) 10 marks
Answer.
a.)
Hungarian Method Algorithm
Hungarian method algorithm is based on the concept of opportunity cost and is more efficient in solving assignment problems. The following steps are adopted to solve an AP using the Hungarian method algorithm.
Step 1: Prepare row ruled matrix by selecting the minimum values for each row and subtract it from the other elements of the row.


Q5. Define Simulation. Explain the Simulation procedure. Discuss the use of Simulation with an example.
(Meaning of Simulation-2, Simulation procedure-4, Use of simulation with an example-4) 10 marks
Answer.

Simulation
Simulation is the process of defining a model of a real system and conducting experiments with this model for the purpose of understanding the behavior (within the limits imposed by a criterion or a set of criteria) for the operation of a system. Using simulation, an analyst can introduce the constants and variables related to the problem, set up the possible courses of action and establish criteria which act as measures of effectiveness.


Q6 Explain the following:
a. Integer programming model
b. PERT and CPM
c. Operating Characteristics of a Queuing System
(Explanation of Integer programming model-4, Explanation of PERT and CPM-3, Explanation of Operating Characteristics of a Queuing System
4-3) 10 marks
Answer.

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