PRISM
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Version: 4.5.dev
Date: Sat Mar 14 23:47:12 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -ii -heuristic speed -e 1e-6 -ddextraactionvars 100 -maxiters 1000000 wlan.4.prism wlan.props --property cost_min -const COL=0
Parsing model file "wlan.4.prism"...
Type: MDP
Modules: medium station1 station2
Variables: col c1 c2 x1 s1 slot1 backoff1 bc1 x2 s2 slot2 backoff2 bc2
Parsing properties file "wlan.props"...
7 properties:
(1) "collisions": Pmax=? [ F col=COL ]
(2) "cost_max": R{"cost"}max=? [ F s1=12&s2=12 ]
(3) "cost_min": R{"cost"}min=? [ F s1=12&s2=12 ]
(4) "num_collisions": R{"collisions"}max=? [ F s1=12&s2=12 ]
(5) "sent": P>=1 [ F s1=12&s2=12 ]
(6) "time_max": R{"time"}max=? [ F s1=12&s2=12 ]
(7) "time_min": R{"time"}min=? [ F s1=12&s2=12 ]
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Model checking: "cost_min": R{"cost"}min=? [ F s1=12&s2=12 ]
Model constants: COL=0
Warning: Switching to sparse engine and (backwards) Gauss Seidel (default for heuristic=speed).
Warning: Switching to explicit engine to allow interval iteration on Rmin operator.
Building model...
Model constants: COL=0
Computing reachable states... 229807 345000 states
Reachable states exploration and model construction done in 3.82 secs.
Sorting reachable states list...
Time for model construction: 4.391 seconds.
Type: MDP
States: 345000 (1 initial)
Transitions: 762252
Choices: 440206
Max/avg: 3/1.28
Building reward structure...
Starting expected reachability (min)...
Starting Prob1 (max)...
Prob1 (max) took 797 iterations and 10.026 seconds.
target=1, inf=0, rest=344999
For Rmin, checking for zero-reward ECs...
Time for checking for zero-reward ECs: 0.217 seconds, no zero-reward ECs found, proceeding normally.
Computing upper bound(s) for Rmin using the Dijkstra Sweep for Monotone Pessimistic Initialization algorithm...
Calculating incoming choices relation for Markov decision process... done (0.112 seconds)
Time for computing upper bound(s) for Rmin using the DSI-MP algorithm: 1.319 seconds.
Upper bound for min expectation (Dijkstra Sweep MPI): 416071.75369262695
Starting Prob1 (min)...
Prob1 (min) took 854 iterations and 9.44 seconds.
Relevant sub-MDP is contracting, proceed...
Starting interval iteration (min, with Power method)...
Iteration 127: max relative diff=201.96183107, 5.02 sec so far
Iteration 258: max relative diff=96.899236163, 10.05 sec so far
Iteration 389: max relative diff=63.5072486345, 15.04 sec so far
Iteration 519: max relative diff=47.3804364759, 20.06 sec so far
Iteration 650: max relative diff=37.5251623789, 25.06 sec so far
Iteration 782: max relative diff=24.5258744597, 30.10 sec so far
Max relative diff between upper and lower bound on convergence: 5.20551995585e-07
Interval iteration (min, with Power method) took 819 iterations, 1248567138 multiplications and 31.726 seconds.
Maximum finite value in solution vector at end of interval iteration: 415909.0270996094
Expected reachability took 52.816 seconds.
Value in the initial state: 7625.0
Time for model checking: 53.367 seconds.
Result: 7625.0 (value in the initial state)
Overall running time: 58.387 seconds.
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Note: There were 2 warnings during computation.