1. Queueing Resources M/M/s –Online http://www.usm.maine.edu/math/JPQ/ http://www.usm.maine.edu/math/JPQ/ –Lpc(rho,c) function from textbook (fails on Excel 2007,2008) G/G/s –QTP http://www.business.ualberta.ca/aingolfsson/QTP/ (fails on Excel for mac) http://www.business.ualberta.ca/aingolfsson/QTP/ G/G/s + Networks –Online http://staff.um.edu.mt/jskl1/simweb 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: 1.arrival rate 2.service rate 3.# servers put any numbers here (e.g., 1) Press Compute

4. utilization L q = E[N q ] W q = E[T q ] 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 1.Queue length N q 2. Number in system N 3. Time in queue T q 4. Time in system T