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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 91 "Example session to illustr
ate use of the Multiclass [Ph(t)/Ph(t)/infinity]^K Maple Software" }}
{PARA 0 "" 0 "" {TEXT -1 14 "August 1, 2000" }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 83 "These routines for the \+
single-node case provide the essential computational engines" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "read(`c:/TeXpapers/TaaffePap
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-1 32 "Warning, new definition for norm" }}{PARA 7 "" 1 "" {TEXT -1 
33 "Warning, new definition for trace" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 75 "read(`c:/TeXpapers/TaaffePapers/PhPhInfNet/Maple/PhPh
InfNumericEmpty.txt`):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "r
ead(`c:/TeXpapers/TaaffePapers/PhPhInfNet/Maple/PhPhInfNumericInit.txt
`):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "read(`c:/TeXpapers/T
aaffePapers/PhPhInfNet/Maple/PhPhInfMoments.txt`):" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 70 "read(`c:/TeXpapers/TaaffePapers/PhPhInfNet/
Maple/PhPhInfSojourn.txt`):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 68 "Th
ese routines handle the single arrival source, multiple queue case" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "read(`c:/TeXpapers/TaaffePa
pers/PhPhInfNet/Maple/PhPhInfNetSymbolic.txt`):" }}}{EXCHG {PARA 0 "> \+
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rs/TaaffePapers/PhPhInfNet/Maple/PhPhInfNetSojourn.txt`):" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 90 "These are the most general multiclass rou
tines; and are what the user would typically call" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 74 "read(`c:/TeXpapers/TaaffePapers/PhPhInfNet/M
aple/PhPhInfMCNSymbolic.txt`):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 73 "read(`c:/TeXpapers/TaaffePapers/PhPhInfNet/Maple/PhPhInfMCNNum
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "read(`c:/TeXpapers/TaaffePap
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0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 120 "First c
reate the input parameters for the example:  Markov routine matrix Pr,
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-1 36 "and two-node queueing network, B, mu" }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "Pr := matrix(3,3,
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" {MPLTEXT 1 0 35 "     0.15, 0, 0.85,  0.7, 0.3, 0]);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%#PrG-%'matrixG6#7%7%,&#\"\"\"\"\"#F,-%$sinG6#,$*
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atrix(4,4, [ 0, 1/3 + 1/3*cos(Pi*t/4), 2/3 - 1/3*cos(Pi*t/4), 0," }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "            0,0,0,1,  0,0.3,0,0.7, \+
 0.8,0.2,0,0]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7
&7&\"\"!,&#\"\"\"\"\"$F--%$cosG6#,$*&%#PiGF-%\"tGF-#F-\"\"%F,,&#\"\"#F
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "lambda := vector(3, [5, 8, 1
0 + 5*sin(Pi*t/5)]); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'lambdaG-%'
vectorG6#7%\"\"&\"\"),&\"#5\"\"\"-%$sinG6#,$*&%#PiGF-%\"tGF-#F-F)F)" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "B := vector(2);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"BG-%&arrayG6$;\"\"\"\"\"#7\"" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 26 "Create B matrix for node 1" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "B[1] := matrix(4,4, [0,0.4,0.6,0,  \+
0,0, 1/4 + 1/4*sin(Pi*t/6), 3/4 - 1/4*sin(Pi*t/6)," }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 35 "        0,0,0.2,0.8,  0.5,0,.5,0]);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>&%\"BG6#\"\"\"-%'matrixG6#7&7&\"\"!$\"\"%!\"\"$\"
\"'F0F-7&F-F-,&#F'F/F'-%$sinG6#,$*&%#PiGF'%\"tGF'#F'F2F5,&#\"\"$F/F'F6
#F0F/7&F-F-$\"\"#F0$\"\")F07&$\"\"&F0F-FHF-" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 26 "Create B matrix for node 2" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 63 "B[2] := matrix(4,4, [0,0.5,0.5,0,  0,0,2/3,1/3, 0,1
/3,1/3,1/3, " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "        .5, 0, .5, \+
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\"\"!$\"\"&!\"\"F.F-7&F-F-#F'\"\"$#\"\"\"F37&F-F4F4F47&F.F-F.F-" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "mu := vector(2, [ [3,4,7.5],
 [2,2,2] ]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#muG-%'vectorG6#7$7%
\"\"$\"\"%$\"#v!\"\"7%\"\"#F0F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 88 "Plot the mean and vari
ance of number in the network, and in each node, from time 0 to 10" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "mplots := PhPhInfMCNMoments
(A, lambda, 1, B, mu, 2, Pr, [1,2], 0, 10):" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 64 "Print out time-dependent mean number in network and at \+
each node" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "mplots[1];" }}
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{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 94 "Determine the mean, varia
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