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WorksheetsSimulation and Queuing Theory Quiz
Total questions: 30
Worksheet time: 15mins
What is the primary purpose of simulation in analyzing complex systems?
To eliminate uncertainties
To simplify the problem formulation
To determine the effect of alternate policies
To create mathematical models
Who were the pioneers in the application of simulation for nuclear shielding problems?
Stainslaw Ulam and Naylor
John Von Neumann and Stainslaw Ulam
Albert Einstein and Naylor
Donald G. Malcolm and John Von Neumann
What type of simulation is used for complex managerial decision-making?
Analog Simulation
Dynamic Simulation
Physical Simulation
Computer Simulation
Which of the following is NOT a limitation of simulation techniques?
Results are only reliable approximations
Unique solutions are transferable
Difficult to identify all variables
Costly and time-consuming
What does the Monte-Carlo method utilize to create statistical distribution functions?
Mathematical models
Random numbers
Fixed algorithms
Deterministic processes
In the context of queuing theory, what does FIFO stand for?
First In Fast Out
First In First Out
Fast In Fast Out
First In Final Out
What is the average service rate if a cashier can serve 10 customers in 5 minutes?
3 customers per minute
4 customers per minute
2 customers per minute
1 customer per minute
What is the average waiting time in a queue if the arrival rate is 9 customers for every 5 minutes?
1.5 minutes
4 minutes
2 minutes
3 minutes
Which of the following describes a system with infinite capacity?
A system that can accommodate an unlimited number of customers
A system that can accommodate a limited number of customers
A system that has a fixed number of service channels
A system that has a variable number of service channels
What is the primary characteristic of a transient state in a queuing system?
The system is in an explosive state
The system's behavior is independent of time
The system's behavior is dependent on time
The system has reached a steady state
In queuing theory, what does the symbol 'λ' represent?
Average service rate
Average arrival rate
Average waiting time
Average queue length
In queuing theory, what does the symbol 'λ' represent?
Average service rate
Average arrival rate
Average waiting time
Average queue length
What is the expected idle time for a repairman if the arrival rate is 10 per 8-hour day?
1 hour
2 hours
3 hours
4 hours
What does the term 'balking' refer to in customer behavior?
Waiting patiently in the queue
Not joining the queue due to its length
Joining a shorter queue
Leaving the queue after waiting
Which of the following is a characteristic of a steady state in a queuing system?
The queue length increases indefinitely
The probability distribution of arrivals does not depend on time
The system's behavior is dependent on time
The arrival rate is greater than the service rate
What is the average number of customers in the system if the traffic intensity is 0.625?
6 customers
7 customers
8 customers
5 customers
In a queuing model, what does the symbol 'μ' represent?
Average arrival rate
Average service rate
Average waiting time
Average queue length
What is the average time a customer spends in the system if the average service rate is 2 customers per minute?
3 minutes
2 minutes
1 minute
4 minutes
What is the probability that a customer has to wait on arrival if the traffic intensity is 0.625?
0.5
0.75
0.625
0.9
What is the average number of customers in the queue if the average arrival rate is 1.8 customers per minute?
1 customer
2 customers
4 customers
3 customers
What is the average time a customer waits before being served if the average service rate is 2 customers per minute?
3 minutes
2 minutes
4 minutes
1 minute
What is the average number of jobs ahead of the average set just brought in?
4 jobs
1 job
2 jobs
3 jobs
What is the average waiting length if the arrival rate is 9 customers for every 5 minutes?
1 customer
2 customers
3 customers
4 customers
What is the average time a customer spends in the queue if the average arrival rate is 1.8 customers per minute?
4 minutes
3 minutes
2 minutes
1 minute
What is the average number of customers in the system if the service rate is 2 customers per minute?
1 customer
4 customers
2 customers
3 customers
What is the average waiting time in a queue if the arrival rate is 9 customers for every 5 minutes?
1 minute
3 minutes
4 minutes
2 minutes
What is the average service time if the service rate is 2 customers per minute?
3 minutes
2 minutes
1 minute
4 minutes
What is the average idle time for a repairman if the arrival rate is 10 per 8-hour day?
4 hours
2 hours
3 hours
1 hour
What is the average number of customers in the queue if the average arrival rate is 1.8 customers per minute?
3 customers
2 customers
4 customers
1 customer
What is the average time a customer spends in the system if the average service rate is 2 customers per minute?
2 minutes
3 minutes
1 minute
4 minutes
