MB0048 OPERATIONS RESEARCH

Dear students get fully solved  SMU MBA Fall 2014 assignments

Send your semester & Specialization name to our mail id :

  “ help.mbaassignments@gmail.com ”

or

Call us at : 08263069601

 (Prefer mailing. Call in emergency )

DRIVE- Fall 2014

PROGRAM-MBADS / MBAN2 / MBAHCSN3 / PGDBAN2 / MBAFLEX

SEMESTER- II

SUBJECT CODE & NAME- MB0048 OPERATIONS RESEARCH

Q1 Explain the types of Operations Research Models. Briefly explain the phases of Operations Research. (Meaning of Operations Research, Types of Operations Research Models, Phases of Operations Research) 2,4,4

Answer:

Definitions of operations research

Churchman, Aackoff, and Aruoff defined operations research as “the application of scientific methods, techniques and tools to the operation of a system with optimum solutions to the problems” where 'optimum' refers to the best possible alternative.

The objective of OR is to provide a scientific basis to the decision-makers for solving problems involving interaction with various components of the organisation. This can be achieved by employing a team of

Q2. a. Explain the graphical method of solving Linear Programming Problem.

b. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper in a week. There are 160 production hours in a week. It requires 0.20 and 0.40 hours to produce a ton of grade X and Y papers. The mill earns a profit of Rs. 200 and Rs. 500 per ton of grade X and Y paper respectively. Formulate this as a Linear Programming Problem.

Answer:

a.       

Graphical Methods to Solve LPP

While obtaining the optimal solution to an LPP by the graphical method, the

statement of the following theorems of linear programming is used:

·         The collection of all feasible solutions to an LPP constitutes a convex set whose extreme points correspond to the basic feasible solutions.

·         There are a finite number of basic feasible regions within the feasible solution space.

·         If the convex set of the feasible solutions of the system of simultaneous equation is a convex polyhedron, then at least one of the extreme points gives an optimal solution.

·         If the optimal solution occurs at more than one extreme point, the value of the objective function will be the same for all convex combination of these extreme points.

Q3. a. Explain how to solve the degeneracy in transportation problems.

b. Explain the procedure of MODI method of finding solution through optimality test.

(a. Degeneracy in transportation problem, b. Procedure of MODI method ) 5, 5

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

Q4.

a. Explain the steps involved in Hungarian method of solving Assignment problems.

b. What do you mean by unbalanced assignment problem? How do you overcome it?

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.

Step 2: Prepare column-reduced matrix by subtracting minimum value of the column from the other values of that column.

Q5.  A) Explain Monte Carlo Simulations.

Answer: Monte Carlo simulations, a statistical technique used to model probabilistic (or “stochastic”) systems and establish the odds for a variety of outcomes. The concept was first popularized right after World War II, to study nuclear fission; mathematician Stanislaw Ulam coined the term in reference to an uncle who loved playing the odds at the Monte Carlo casino (then a world symbol of gambling, like Las Vegas today). Today there are multiple types of Monte Carlo simulations, used in fields from particle physics to engineering, finance and more. 

B) A Company produces 150 cars. But the production rate varies with the distribution.

Production rate	147	148	149	150	151	152	153
Probability	0.05	0.10	0.15	0.20	0.30	0.15	0.05

At present the track will hold 150 cars. Using the following random numbers determine the average number of cars waiting for shipment in the company and average number of empty space in the truck. Random Numbers 82, 54, 50, 96, 85, 34, 30, 02, 64, 47.

Answer.

Production rate and probability

Q6.

a. Explain the dominance principle in game theory.

b. Describe the Constituents of a Queuing System.

c. Differentiate between PERT and CPM

a.

Dominance

In a rectangular game, the pay-off matrix of player A is pay-off in one specific row ( r row ) ^th exceeding the corresponding pay-off in another specific row( s row ) ^th . This means that whatever course of action is adopted by player B, for A, the course of action Ar yields greater gains than the course of action

Dear students get fully solved  SMU MBA Fall 2014 assignments

Send your semester & Specialization name to our mail id :

  “ help.mbaassignments@gmail.com ”

or

Call us at : 08263069601

 (Prefer mailing. Call in emergency )