You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
53 lines
1.1 KiB
53 lines
1.1 KiB
// 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 served
|
|
rewards "waiting"
|
|
s1=1 & !(s=1 & a=1) : 1;
|
|
endrewards
|
|
|
|
// expected number of times station 1 is served
|
|
rewards "served"
|
|
[serve1] true : 1;
|
|
endrewards
|
|
|
|
label "target" = s=1&a=1;
|