Matlab code for queues

Here's a list of the matlab codes I've written for doing queueing computations. Please note: these codes evaluate analytic formulas for a few standard models. They do not do discrete-event simulations. I have yet to find a truly reasonable way to do queueing simulations in matlab, but if you have any ideas I'd love to hear them. If you would like a copy, please send me e-mail

dtmc_stationary_probs_d.m

finds the stationary probabilities for a discrete-time Markov chain, by Dropping an equation then re-normalizing

dtmc_stationary_probs_e.m

finds the stationary probabilities for a discrete-time Markov chain, by an Eigenvector method (a bad idea!)

dtmc_stationary_probs_o.m

finds the stationary probabilities for a discrete-time Markov chain, by using a matrix of Ones

dtmc_stationary_probs_r.m

finds the stationary probabilities for a discrete-time Markov chain, by Replacing an equation with the normalizing equation

ebinv.m

an inverse of the Erlang-B function

ebinv2.m

the other inverse of the Erlang-B function

erlangb.m

blocking probability as a function of servers and traffic

erlangc.m

delay probability and expected delays as a function of servers and traffic

ecinv2.m

servers as a function of traffic and delay probability

gammapdf1.m

the probability density function of a Gamma random variable, given the usual two parameters

gammapdf2.m

the probability density function of a Gamma random variable, given its mean and variance

gamquad.m

integrates the mmsr model against a Gamma distribution for traffic

kolesar.m

implements "Kolesar's Third Law of Applied Queueing"

mmsr1.m

statistics for an M/M/s/s+r queue, method 1

mmsr1inv.m

an inverse for the M/M/s/s+r system (uses mmsr1, above)

mmsr2.m

statistics for an M/M/s/s+r queue, method 2

open_jackson.m

performance measures for an open Jackson network

retrialprob.m

the probability of getting blocked when you retry on an Erlang-B system, given that you just got blocked