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36 lines
895 B
36 lines
895 B
// self stabilisation algorithm Beauquier, Gradinariu and Johnen
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// gxn/dxp 18/07/02
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// model is an mdp
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nondeterministic
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// module of process 1
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module process1
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d1 : bool; // probabilistic variable
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p1 : bool; // deterministic variable
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[] (d1=d5) & (p1=p5) -> 0.5 : (d1'=!d1) & (p1'=p1) + 0.5 : (d1'=!d1) & (p1'=!p1);
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[] (d1=d5) & !(p1=p5) -> (d1'=!d1);
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endmodule
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// add further processes through renaming
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module process2 =process1[p1=p2 ,p5=p1, d1=d2 ,d5=d1] endmodule
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module process3 =process1[p1=p3 ,p5=p2, d1=d3 ,d5=d2] endmodule
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module process4 =process1[p1=p4 ,p5=p3, d1=d4 ,d5=d3] endmodule
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module process5 =process1[p1=p5 ,p5=p4, d1=d5 ,d5=d4] endmodule
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// cost in any state is 1 (expected number of steps)
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rewards
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true : 1;
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endrewards
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// initial states - any state with more than 1 token, that is all states
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init
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true
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endinit
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