Module 13 Handouts Waiting Line Analysis

# Module 13 Handouts Waiting Line Analysis -...

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8/13/2010 1 Waiting Line Analysis Part 2 General notation (also called Kendall notation ) for classifying waiting lines A/B/k or A/B/k/x/y A probability distribution of arrivals B probability distribution of service times k number of channels(servers) k number of channels(servers) x number of units allowed in the system at one time x potential size of calling population “M” used for A & B when arrivals are Poisson and service times are exponential D" used for A & B when arrivals are deterministic “G” used for A & B when arrivals are and service times are general distributions Behavior of Arrivals balk customers refuse to enter the system because the line is too long reneg customers enter but decide to leave without service because the become impatient blocked no waiting allowed; when all servers are busy customers are not allow to enter the system Transient Interval λ number of arrivals in time interval t ˆ t λ = ˆ λ ˆ constant λ λ = =

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