Queuing Systems 63.210 Don Sutton.

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Presentation transcript:

Queuing Systems 63.210 Don Sutton

Why Waiting Lines Random Arrivals Service Time Distribution

Cost Trade-off Wait Cost Service Cost

Characteristics of a Queuing System Arrival Characteristics Calling population Pattern of arrivals Arrival behavior Waiting Line Characteristics Queue length Queue discipline Static or dynamic

Characteristics of a Queuing System (cont) Service Facility Characteristics Queuing Configuration Service Time Distribution

Operational Characteristics Key variables λ - mean number of arrivals per time period μ – mean number of people or items serviced per time period Definitions L = the average number of customers or units in the system W = the average time a customer spends in the system

Operational Characteristics (cont) Definitions (cont) Lq = The average number of customers in the queue Wq – The average time a customer spends waiting in the queue ρ = the probability that the service facility is being used Po = the probability that no one is in the system

Different equations for the operational characteristics for each model Two Queuing Models Single channel Multiple channel Different equations for the operational characteristics for each model

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