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The software is distributed "as is," without warranties of any kind, either express or implied. Please report problems to
*nelsonb@northwestern.edu.* or
*taaffe@vt.edu.*
The software is copyrighted by Barry L. Nelson and Michael R. Taaffe 1999, 2000, 2002, 2003, 2004. The authors grant permission for unlimited
personal use of this software without fee. However, no derivative works based on the software may be prepared, including embedding any portion
of it in another software product, without permission of the authors.

**Maple V Procedures for the single-queue case:**- PhPhInfSymbolic:
Procedure to produce a symbolic representation of the moment
differential equations for the queue when initial conditions are empty
and idle.
- PhPhInfNumericEmpty: Procedure to
evaluate the moment differential equations for the queue
when the initial conditions are empty and idle.
- PhPhInfNumericInit: Procedure to
evaluate the moment differential equations for the queue with
arbitrary initial conditions.
- PhPhInfMoments Procedure to plot the
mean and variance of the number in the queue when the initial
conditions are empty and idle. This procedure calls PhPhInfNumericEmpty which must be
loaded first.
- PhPhInfSojourn: Procedure to compute
the mean and variance of the sojourn time of a virtual customer
arriving at an arbitrary time, and generate a plot of the sojourn
time cdf. This procedure calls PhPhInfNumericInit which must be loaded
first.
- Example Maple Worksheet (in .mws format): This
worksheet illustrates the use of each procedure (notice that you must
replace the path in any
`read`

statement with the location of the procedures on your computer). If you do not have Maple V, you can view the worksheet in html format HERE.

- PhPhInfSymbolic:
Procedure to produce a symbolic representation of the moment
differential equations for the queue when initial conditions are empty
and idle.
**Maple V Procedures for the network case:**- PhPhInfMCNNumeric evaluates the
moment differential equations for the multiclass network when initial
conditions are empty and idle. This routine calls support routines PhPhInfNetNumeric and PhPhInfNumericEmpty, which must be loaded
first.
- PhPhInfMCNSymbolic produces a
symbolic representation of the moment differential equations for the
multiclass network. This routine calls support routines PhPhInfNetSymbolic and PhPhInfSymbolic, which must be loaded
first.
- PhPhInfMCNMoments plots the
mean and variance of the number in the network and at the individual
nodes by entity class when the initial conditions are empty and idle.
This procedure calls support routines PhPhInfNetMoments, PhPhInfNetNumeric,
PhPhInfMoments,
and
PhPhInfNumericEmpty, which must be loaded first.
- PhPhInfMCNSojourn computes
the mean and variance of the sojourn time, by class, of a virtual
entity arriving at an arbitrary time, and generates a plot of the
sojourn time cdf. This procedure calls support routines PhPhInfNetSojourn, PhPhInfSojourn, and PhPhInfNumericInit, which must be
loaded first.
- Example Maple Worksheet (in .mws format): This worksheet
illustrates the use of each procedure (notice that you must replace
the path in any
`read`

statement with the location of the procedures on your computer). If you do not have Maple V, you can view the worksheet in html format HERE.

- PhPhInfMCNNumeric evaluates the
moment differential equations for the multiclass network when initial
conditions are empty and idle. This routine calls support routines PhPhInfNetNumeric and PhPhInfNumericEmpty, which must be loaded
first.

**Maple 6/7/8 Procedures for the single-queue case:**- PhPhInfSymbolic:
Procedure to produce a symbolic representation of the moment
differential equations for the queue when initial conditions are empty
and idle.
- PhPhInfNumericEmpty: Procedure to
evaluate the moment differential equations for the queue
when the initial conditions are empty and idle.
- PhPhInfNumericInit: Procedure to
evaluate the moment differential equations for the queue with
arbitrary initial conditions.
- PhPhInfMoments Procedure to plot the
mean and variance of the number in the queue when the initial
conditions are empty and idle. This procedure calls PhPhInfNumericEmpty which must be
loaded first.
- PhPhInfSojourn: Procedure to compute
the mean and variance of the sojourn time of a virtual customer
arriving at an arbitrary time, and generate a plot of the sojourn
time cdf. This procedure calls PhPhInfNumericInit which must be loaded
first.
- Example Maple Worksheet (in .mws format): This
worksheet illustrates the use of each procedure (notice that you must
replace the path in any
`read`

statement with the location of the procedures on your computer). If you do not have Maple 6/7/8, you can view the worksheet in html format HERE.

- PhPhInfSymbolic:
Procedure to produce a symbolic representation of the moment
differential equations for the queue when initial conditions are empty
and idle.
**Maple 6/7/8 Procedures for the network case:**- PhPhInfMCNNumeric evaluates the
moment differential equations for the multiclass network when initial
conditions are empty and idle. This routine calls support routines PhPhInfNetNumeric and PhPhInfNumericEmpty, which must be loaded
first.
- PhPhInfMCNSymbolic produces a
symbolic representation of the moment differential equations for the
multiclass network. This routine calls support routines PhPhInfNetSymbolic and PhPhInfSymbolic, which must be loaded
first.
- PhPhInfMCNMoments plots the
mean and variance of the number in the network and at the individual
nodes by entity class when the initial conditions are empty and idle.
This procedure calls support routines PhPhInfNetMoments, PhPhInfNetNumeric,
PhPhInfMoments,
and
PhPhInfNumericEmpty, which must be loaded first.
- PhPhInfMCNSojourn computes
the mean and variance of the sojourn time, by class, of a virtual
entity arriving at an arbitrary time, and generates a plot of the
sojourn time cdf. This procedure calls support routines PhPhInfNetSojourn, PhPhInfSojourn, and PhPhInfNumericInit, which must be
loaded first.
- Example Maple Worksheet (in .mws format): This worksheet
illustrates the use of each procedure (notice that you must replace
the path in any
`read`

statement with the location of the procedures on your computer). If you do not have Maple 6/7/8, you can view the worksheet in html format HERE.

- PhPhInfMCNNumeric evaluates the
moment differential equations for the multiclass network when initial
conditions are empty and idle. This routine calls support routines PhPhInfNetNumeric and PhPhInfNumericEmpty, which must be loaded
first.