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Queuing
Add-in |
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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 |
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| 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. |
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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 queuing analysis
to answer these and many other interesting analysis and design
questions. |
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