#1
What is the primary goal of Queuing Theory?
Minimizing waiting time
ExplanationOptimizing efficiency by reducing customer wait times.
#2
In the context of Queuing Theory, what does 'blocking' refer to?
The phenomenon where customers cannot enter a full queue
ExplanationPreventing customers from joining a full queue.
#3
What does 'queue length' represent in Queuing Theory?
The total number of customers in the system
ExplanationNumber of customers currently waiting in the queue.
#4
What does 'queue capacity' represent in Queuing Theory?
The maximum number of customers a queue can hold
ExplanationLimit on the number of customers the queue can accommodate.
#5
What does 'arrival rate' refer to in Queuing Theory?
The rate at which customers enter the system
ExplanationRate of new customers entering the queuing system.
#6
In a queuing system, what does the term 'service rate' represent?
The rate at which customers are served
ExplanationSpeed at which customers are processed or served.
#7
What does the term 'queue discipline' refer to in Queuing Theory?
The way servers handle incoming requests
ExplanationRules governing how customers are served.
#8
What is the difference between an open and closed queuing system?
Open systems allow unlimited customers, closed systems have a fixed capacity
ExplanationCapacity constraints differentiate open and closed systems.
#9
In a queuing system, what does the term 'inter-arrival time' refer to?
The time between the arrival of successive customers
ExplanationDuration between consecutive customer arrivals.
#10
What is the purpose of Little's Law in Queuing Theory?
To relate the average number of customers, arrival rate, and service rate
ExplanationEstablishes relationship between queue metrics for analysis.
#11
What is the significance of the 'Erlang formula' in Queuing Theory?
To model queuing systems with limited capacity
ExplanationSpecifically models systems with finite capacity.
#12
What does the 'utilization factor' represent in Queuing Theory?
The percentage of time the server is busy
ExplanationMeasure of how effectively the server is utilized.
#13
What is the purpose of the 'M/M/1 queue model' in Queuing Theory?
To model systems with a single server and exponential inter-arrival and service times
ExplanationSimple model for analyzing single-server systems.
#14
What is the purpose of the 'Kendall notation' in Queuing Theory?
To categorize queuing systems using a standardized notation
ExplanationStandardized method for classifying queuing systems.