Queuing Theory The Theory of Waiting in Lines Why Queues Build Variable arrival and processing rates, which are not synchronized. variations” when long processing times are “Negative matched with short interarrival times; “positive variations” are the opposite. Queues build because lines form during negative variations, while positive variations produce idle time that cannot be stored. Arrival Process Assume a Poisson distribution where: the average or mean number of = λ arrivals per period Service Process Assume exponentially distributed service times where: = the average or mean number of μ units that can be served per time
Queuing Theory The Theory of Waiting in Lines Why Queues Build Variable arrival and processing rates, which are not synchronized. “Negative variations” when long processing times are matched with short interarrival times; “positive variations” are the opposite. Queues build because lines form during negative variations, while positive variations produce idle time that cannot be stored. Arrival Process Assume a Poisson distribution where: λ = the average or mean number of arrivals per period Service Process Assume exponentially distributed service times where: μ = the average or mean number of units that can be served per time
MgtOp-470-Topic-5.docx