The Queuing Add-in computes steady-state
statistics associated with Poisson Queuing models, Non-Markovian
models and Networks of Poisson or Non-Markovian queues. Both
open and closed networks can be analyzed for Poisson queues.
It also performs next-event simulations of multichannel queues.
In addition to the processes added to the OR_MM menu, the add-in
provides a several user-defined functions that can be used to
perform a wide variety of analyses.
Example:
A Manufacturing Station
A rework station in a computer manufacturing
facility consists of three workers repairing computers with
manufacturing defects. The average repair time for a machine
is 30 minutes, or equivalently, the rate of repair is 2
per hour. Because of the wide variety of possible defects,
the probability distribution for repair time can reasonably
be approximated by an exponential distribution. Machines
arrive at the station at a rate of 5 per hour. Arrivals
occur independently, so we can justify that the time between
arrivals has an exponential distribution with a mean of
12 minutes.
We would like to answer a variety of
questions about his situation. For example, how many machines
on the average will be waiting for repair? How much time will
a machine spend in the repair facility? How often will the workers
be idle? With the assumption of exponential distributions (Poisson
processes) for interarrival and repair times, we can use the
formulas of queueing analysis to answer these and many other
interesting analysis and design questions.
Operations
Research Models and Methods
Internet
by Paul A. Jensen
Copyright 2004 - All rights reserved