Examples

Simulation Examples
Queueing models provide the analyst with a powerful tool for
designing and evaluating the performance of queuing systems.
?? Typical measures of system performance:
?? Server utilization, length of waiting lines, and delays of customers ?? For relatively simple systems, compute mathematically
?? For realistic models of complex systems, simulation is usually required.

Discuss some well-known models (not development
of queuing theories):
?? General characteristics of queues,?? Meanings and relationships of important performance measures, ?? Estimation of mean measures of performance.
?? Effect of varying input parameters, ?? Mathematical solution of some basic queuing Key elements of queuing systems:
?? Customer: refers to anything that arrives at a facility and requires service, e.g., people, machines, trucks, emails.
?? Server: refers to any resource that provides the requested service, e.g., repair persons, retrieval machines, runways at airport.
Calling population: the population of potential customers, may be assumed to be finite or infinite.
?? Finite population model: if arrival rate depends on the number of customers being served and waiting, e.g., model of one corporate
jet, if it is being repaired, the repair arrival rate becomes zero.
?? Infinite population model: if arrival rate is not affected by the number of customers being served and waiting, e.g., systems
with large population of potential customers