PRISM

Benchmark
Model:wlan v.1 (MDP)
Parameter(s)MAX_BACKOFF = 6, COL = 0
Property:cost_min (exp-reward)
Invocation (specific)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -maxiters 1000000 wlan.6.prism wlan.props --property cost_min -const COL=0
Execution
Walltime:> 1800s (Timeout)
Log
PRISM
=====

Version: 4.5.dev
Date: Sun Mar 15 02:27:44 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -maxiters 1000000 wlan.6.prism wlan.props --property cost_min -const COL=0

Parsing model file "wlan.6.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 ]

---------------------------------------------------------------------

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... 204747 460505 666816 878781 1241201 1609218 1681112 1814921 2080229 2294598 2556823 2601198 2940951 3347486 3720746 4103600 4500310 4845012 5007548 states
Reachable states exploration and model construction done in 56.006 secs.
Sorting reachable states list...

Time for model construction: 62.277 seconds.

Type:        MDP
States:      5007548 (1 initial)
Transitions: 11475748
Choices:     6350470
Max/avg:     3/1.27
Building reward structure...

Starting expected reachability (min)...
Starting Prob1 (max)...
Prob1 (max) took 3101 iterations and 552.449 seconds.
target=1, inf=0, rest=5007547
For Rmin, checking for zero-reward ECs...
Time for checking for zero-reward ECs: 1.498 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 (0.845 seconds)
Time for computing upper bound(s) for Rmin using the DSI-MP algorithm: 24.568 seconds.
Upper bound for min expectation (Dijkstra Sweep MPI): 441670.8165168762
Starting Prob1 (min)...
Prob1 (min) took 3158 iterations and 495.006 seconds.
Relevant sub-MDP is contracting, proceed...
Starting interval iteration (min, with Power method)...
Iteration 10: max relative diff=4415.70816517, 5.23 sec so far
Iteration 20: max relative diff=1720.62510892, 10.33 sec so far
Iteration 30: max relative diff=980.490703371, 15.44 sec so far
Iteration 40: max relative diff=735.118027528, 20.54 sec so far
Iteration 50: max relative diff=557.945703656, 25.68 sec so far
Iteration 60: max relative diff=463.916648965, 30.78 sec so far
Iteration 70: max relative diff=400.518924106, 35.93 sec so far
Iteration 80: max relative diff=338.746781936, 41.03 sec so far
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Iteration 100: max relative diff=275.044260323, 51.23 sec so far
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Iteration 780: max relative diff=33.1058545573, 399.05 sec so far
Iteration 790: max relative diff=32.7153295051, 404.15 sec so far
Iteration 800: max relative diff=32.2083320689, 409.26 sec so far
Iteration 810: max relative diff=31.8379789232, 414.36 sec so far
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Iteration 850: max relative diff=30.3241713842, 434.98 sec so far
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Iteration 890: max relative diff=28.8426227376, 455.35 sec so far
Iteration 900: max relative diff=28.5431984292, 460.43 sec so far
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Iteration 1069: max relative diff=23.8828629024, 547.80 sec so far
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Iteration 1099: max relative diff=23.2011406311, 563.10 sec so far
Iteration 1109: max relative diff=22.9387976432, 568.19 sec so far
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Iteration 1199: max relative diff=21.138888046, 614.16 sec so far
Iteration 1209: max relative diff=20.9736724635, 619.24 sec so far
Iteration 1219: max relative diff=20.8109045194, 624.32 sec so far
Iteration 1229: max relative diff=20.5975949397, 629.41 sec so far
Iteration 1239: max relative diff=20.4403308989, 634.50 sec so far
Iteration 1249: max relative diff=20.285340555, 639.58 sec so far
Iteration 1259: max relative diff=20.0821392132, 644.68 sec so far
Iteration 1269: max relative diff=19.9322661856, 649.78 sec so far
Iteration 1279: max relative diff=19.7845090126, 654.89 sec so far


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Computation aborted after 1800.3115549087524 seconds since the total time limit of 1800 seconds was exceeded.