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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;