Generic selectors
Exact matches only
Search in title
Search in content
Post Type Selectors

# Queueing Theory & Game Theory MCQs

1. What does the M/M/1 notation represent in waiting line models?

a) Multiple servers with exponential service times
b) Single server with exponential service times
c) Multiple servers with constant service times
d) Single server with constant service times

Answer: b) Single server with exponential service times

Explanation: In waiting line models, M/M/1 signifies a single-server system where arrivals and service times follow exponential distributions.

2. Which factor is crucial for determining the average length of customers in an M/M/1 queue?

a) Arrival rate
b) Service rate
c) Number of servers
d) Queue discipline

Explanation: The average length of customers in an M/M/1 queue heavily depends on the rate at which customers arrive.

3. What is the optimum service rate in an M/M/1 queue system?

a) Equal to the arrival rate
b) Equal to half of the arrival rate
c) Greater than the arrival rate
d) Independent of the arrival rate

Answer: c) Greater than the arrival rate

Explanation: The optimum service rate in an M/M/1 queue system is greater than the arrival rate to prevent infinite queue growth.

4. In a multiple-server model (M/M/s), what does ‘s’ represent?

a) Number of servers
b) Arrival rate
c) Service rate
d) Queue size

Explanation: ‘s’ in the M/M/s model denotes the number of servers available to serve customers concurrently.

5. What is a competitive strategy in game theory?

a) A strategy aimed at cooperation
b) A strategy to dominate opponents
c) A strategy focused on minimizing losses
d) A strategy aimed at outperforming others

Answer: d) A strategy aimed at outperforming others

Explanation: A competitive strategy in game theory involves making decisions to achieve an advantage over other participants.

6. Which method can be used to solve two-person zero-sum games graphically?

a) Simplex method
b) Linear programming
c) Dominance
d) Payoff matrix

Explanation: Two-person zero-sum games can be solved graphically using a payoff matrix, where each player’s strategies and payoffs are outlined.

7. What is a pure strategy in game theory?

a) A strategy involving random choices
b) A strategy based on mixed actions
c) A deterministic strategy
d) A strategy aimed at cooperation

Explanation: A pure strategy in game theory involves selecting a specific action with certainty, without incorporating random elements.

8. In game theory, what does dominance refer to?

a) Strategy that always yields the highest payoff
b) Strategy that eliminates all opponents
c) Strategy that guarantees a win
d) Strategy that is always better regardless of opponents’ choices

Answer: d) Strategy that is always better regardless of opponents’ choices

Explanation: Dominance in game theory refers to a strategy that is superior to others regardless of opponents’ choices.

9. What does LP stand for in solving game theory problems?

a) Linear Probability
b) Linear Performance
c) Linear Programming
d) Limited Play

Explanation: LP stands for Linear Programming, a method used to solve various optimization problems, including those in game theory.

10. In a two-person zero-sum game, what is a saddle point?

a) A point of equilibrium
b) A point of maximum payoff
c) A point of minimum payoff
d) A point of dominance

Answer: a) A point of equilibrium

Explanation: In a two-person zero-sum game, a saddle point is a point of equilibrium where neither player has an incentive to change their strategy.

11. What assumption is commonly made in waiting line models regarding service times?

a) Exponential distribution
b) Constant distribution
c) Normal distribution
d) Poisson distribution

Explanation: Waiting line models often assume that service times follow an exponential distribution, allowing for mathematical tractability.

12. In game theory, what does a mixed strategy involve?

a) Using a combination of deterministic actions
b) Randomly selecting strategies
c) Collaborating with opponents
d) Eliminating opponents

Answer: a) Using a combination of deterministic actions

Explanation: A mixed strategy in game theory involves using a combination of deterministic actions to create uncertainty for opponents.

13. What factor is crucial for determining the average time a customer spends in a waiting line?

a) Service rate
b) Arrival rate
c) Queue discipline
d) Number of servers

Explanation: The average time a customer spends in a waiting line is influenced by the discipline followed in managing the queue, such as first-come-first-served or priority-based.

14. Which method is used to solve game theory problems algebraically?

a) Dominance
b) Payoff matrix
c) Linear programming
d) Graphical method