IGNOU MMPO-001 December 2022 Previous Year Question Paper

Q1.What is Operations Research ? Describe the managerial applications of Operations Research in decision-making.

Q2.Explain the concept and computational steps of the simplex method for solving linear programming problems. How would you ide ntify whether an optimal solution to a problem obtained using the simplex algorithm is unique or not ?

Q3.Determine the basic feasible solution to the following transportation problem by using the following :

(a) North-West Corner Rule

(b) Vogel’s approximation method Distribution Centres Sources D1 D2 D3 D4 Supply S1 2 3 11 7 6 S2 1 0 6 1 1 S3 5 8 15 9 10 Requirements

Q4.What do you mean by goal programming ? What are the assumption s of goal programming ?

Q5.Discuss the major difference s between linear programming and goal programming.

Q6.In a game of matching coins with two players, suppose A wins one unit of value when there are two tails and loses 1/2 unit of value when there is one head and one tail. Determine the pay -off matrix, th e best strategies for each player and the value of the game to A.

Q7.A self -service store employs one cashier at its counter. An average of nine customers arrive 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 :

(a) The a verage number of customers in the system.

(b) The average number of customers in a queue or average queue length.

(c) Average time a customer spends in the system.

(d) Average time a customer waits before being served.

Q8.Write short notes on any four of the following :

(a) Cardinal Value and Ordinal Value

(b) Non-Linear Programming

(c) Principle of Dominance

(d) Kendall’s Notation

(e) Monte Carlo Simulation