QUEUE THEORY

Front

What is Queue Theory?

Back

Queue Theory is the mathematical study of waiting lines, or queues, which involves the analysis of various characteristics of queues, including arrival rates, service rates, and the number of servers.

Front

What does the term 'Stochastic' mean in Queue Theory?

Back

In Queue Theory, 'Stochastic' refers to systems that involve randomness or uncertainty in the arrival and service processes.

Front

What is the significance of the arrival rate (λ) in Queue Theory?

Back

The arrival rate (λ) is a key parameter that indicates the average number of entities arriving at the queue per time unit.

Front

What does the service rate (μ) represent in Queue Theory?

Back

The service rate (μ) represents the average number of entities that can be served by a server per time unit.

Front

What is Kendall's Notation?

Back

Kendall's Notation is a standard way to describe the characteristics of a queueing system, including arrival process, service process, and the number of servers.

Front

What does 'M' represent in Kendall's Notation?

Back

In Kendall's Notation, 'M' represents a Markovian (memoryless) arrival process, typically modeled as a Poisson process.

Front

What does 'D' represent in Kendall's Notation?

Back

In Kendall's Notation, 'D' represents a deterministic arrival process, where entities arrive at fixed intervals.

Front

What does 'G' represent in Kendall's Notation?

Back

In Kendall's Notation, 'G' represents a general arrival process, which can follow any arbitrary distribution.

Front

What is the condition for stability in a queueing system?

Back

A queueing system is stable when the arrival rate (λ) is less than the total service rate (μs), where s is the number of servers.

Front

What is Little's Law in Queue Theory?

Back

Little's Law states that L = λW, where L is the average number of entities in the system, λ is the arrival rate, and W is the average time an entity spends in the system.