Chapter 11
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The mean number of customers or units arriving in a given period of time.
Arrival rate
The average amount of time between consecutive arrivals to a waiting line, computed as the inverse of the arrival rate.
Average interarrival time
When arriving units cannot enter the waiting line because the system is full. these units can occur when waiting lines are not allowed or when waiting lines have a finite capacity
blocked
The average amount of time for a server to complete service on a customer, computed as the inverse of the service rate.
Average service time
A probability distribution used to describe the service time for some waiting line models.
Exponential probability distribution
The population of customers or units that may seek service has a fixed and finite value.
Finite calling population
The queue discipline that serves waiting units on a first come, first-served basis.
First-come, first-served (FCFS)
The population of customers or units that may seek service has no specified upper limit.
Infinite calling population
A waiting line with two or more parallel service facilities.
Multiple-server waiting line
The performance measures for a waiting line, including the probability that no units are in the system, the average number of units in the waiting line, the average waiting time, and so on.
Operating characteristics
A probability distribution used to describe the arrival pattern for some waiting line models.
Poisson probability distribution
A waiting line.
Queue
The body of knowledge dealing with waiting lines.
Queueing theory
The mean number of customers or units that can be served by one service facility in a given period of time.
Service rate
A waiting line with only one service facility.
Single-server waiting line
The normal operation of the waiting line after it has gone through a startup or transient period.
Steady-state operation
The startup period for a waiting line, occurring before the waiting line reaches a normal or steady-state operation.
Transient period