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Comprehensive Guide to Queueing Theory: M/M/s and G/G/s Models

Explore the fundamentals of queueing theory with a focus on M/M/s and G/G/s models. Access various online resources, calculators, and guides, including the M/M/s Queue Calculator and G/G/s Network simulations. Learn about arrival rates, service rates, server configurations, and customer probability metrics. This guide includes practical applications and links to essential textbooks, making it a valuable resource for students and professionals alike. Dive into queue analysis, customer interactions, and performance metrics. Enhance your understanding of queue dynamics today!

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Comprehensive Guide to Queueing Theory: M/M/s and G/G/s Models

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  1. Queueing Resources • M/M/s • Online http://www.usm.maine.edu/math/JPQ/ • Lpc(rho,c) function from textbook (fails on Excel 2007,2008) • G/G/s • QTPhttp://www.business.ualberta.ca/aingolfsson/QTP/(fails on Excel for mac) • G/G/s + Networks • Online http://staff.um.edu.mt/jskl1/simweb • ORMM book queue.xla(fails on Excel 2008) http://www.me.utexas.edu/~jensen/ORMM/frontpage/jensen.lib

  2. Online M/M/s Calculator (JPQ) http://www.usm.maine.edu/math/JPQ/ click here for M/M/s queues

  3. fill out: arrival rate service rate # servers put any numbers here (e.g., 1) Press Compute

  4. utilization Lq = E[Nq] Wq = E[Tq] L = E[N] W = E[T] Results

  5. Customer threshold n Probability # number in system >= n

  6. Time threshold t Probability time in system >= t

  7. Time threshold tq Probability time in queue >= tq

  8. Standard deviation of Queue length Nq 2. Number in system N 3. Time in queue Tq 4. Time in system T

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