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// tandem queueing network [HKMKS99] // gxn/dxp 25/01/00
ctmc
const int c = 5; // queue capacity
const double lambda = 4*c; const double mu1a = 0.1*2; const double mu1b = 0.9*2; const double mu2 = 2; const double kappa = 4;
module serverC sc : [0..c]; ph : [1..2]; [] (sc<c) -> lambda: (sc'=sc+1); [route] (sc>0) & (ph=1) -> mu1b: (sc'=sc-1); [] (sc>0) & (ph=1) -> mu1a: (ph'=2); [route] (sc>0) & (ph=2) -> mu2: (ph'=1) & (sc'=sc-1); endmodule
module serverM sm : [0..c]; [route] (sm<c) -> 1: (sm'=sm+1); [] (sm>0) -> kappa: (sm'=sm-1); endmodule
// reward - number of customers in network rewards "customers" true : sc + sm; endrewards
label "network_full" = sc=c&sm=c&ph=2; label "first_queue_full" = sc=c; label "second_queue_full" = sm=c;
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