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// polling example [IT90]// gxn/dxp 26/01/00
ctmc
const int N = 2;
const double mu = 1;const double gamma = 200;const double lambda = mu/N;
module server s : [1..2]; // station a : [0..1]; // action: 0=polling, 1=serving [loop1a] (s=1)&(a=0) -> gamma : (s'=s+1); [loop1b] (s=1)&(a=0) -> gamma : (a'=1); [serve1] (s=1)&(a=1) -> mu : (s'=s+1)&(a'=0); [loop2a] (s=2)&(a=0) -> gamma : (s'=1); [loop2b] (s=2)&(a=0) -> gamma : (a'=1); [serve2] (s=2)&(a=1) -> mu : (s'=1)&(a'=0); endmodule
module station1 s1 : [0..1]; // state of station: 0=empty, 1=full [loop1a] (s1=0) -> 1 : (s1'=0); [] (s1=0) -> lambda : (s1'=1); [loop1b] (s1=1) -> 1 : (s1'=1); [serve1] (s1=1) -> 1 : (s1'=0); endmodule
// construct further stations through renaming
module station2 = station1 [ s1=s2, loop1a=loop2a, loop1b=loop2b, serve1=serve2 ] endmodule// (cumulative) rewards
// expected time station 1 is waiting to be servedrewards "waiting" s1=1 & !(s=1 & a=1) : 1;endrewards
// expected number of times station 1 is servedrewards "served" [serve1] true : 1;endrewards
label "target" = s=1&a=0;
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