PRISM

Benchmark
Model:wlan v.1 (MDP)
Parameter(s)MAX_BACKOFF = 6, COL = 0
Property:cost_min (exp-reward)
Invocation (default)
./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 01:57:44 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... 206318 457055 674383 904925 1259198 1608753 1687251 1793035 2054580 2289127 2531201 2597270 2901319 3284096 3653597 4019835 4413668 4745617 5007548 states
Reachable states exploration and model construction done in 56.835 secs.
Sorting reachable states list...

Time for model construction: 61.692 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 846.325 seconds.
target=1, inf=0, rest=5007547
For Rmin, checking for zero-reward ECs...
Time for checking for zero-reward ECs: 1.499 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 (0.843 seconds)
Time for computing upper bound(s) for Rmin using the DSI-MP algorithm: 24.651 seconds.
Upper bound for min expectation (Dijkstra Sweep MPI): 441670.8165168762
Starting Prob1 (min)...
Prob1 (min) took 3158 iterations and 602.792 seconds.
Relevant sub-MDP is contracting, proceed...
Starting interval iteration (min, with Power method)...
Iteration 8: max relative diff=8832.41633034, 5.30 sec so far
Iteration 17: max relative diff=2161.94077529, 10.88 sec so far
Iteration 25: max relative diff=1260.91661862, 15.88 sec so far
Iteration 34: max relative diff=882.341633034, 21.47 sec so far
Iteration 42: max relative diff=678.493563872, 26.65 sec so far
Iteration 51: max relative diff=551.088520646, 32.23 sec so far
Iteration 60: max relative diff=463.916648965, 37.83 sec so far
Iteration 69: max relative diff=400.518924106, 43.41 sec so far
Iteration 78: max relative diff=352.336653214, 48.99 sec so far
Iteration 87: max relative diff=314.479154655, 54.59 sec so far
Iteration 96: max relative diff=283.948913882, 60.19 sec so far
Iteration 105: max relative diff=258.806362657, 65.79 sec so far
Iteration 114: max relative diff=237.740981901, 71.37 sec so far
Iteration 123: max relative diff=219.835408258, 76.95 sec so far
Iteration 132: max relative diff=204.428286752, 82.55 sec so far
Iteration 141: max relative diff=191.03078979, 88.14 sec so far
Iteration 150: max relative diff=179.27380266, 93.73 sec so far
Iteration 158: max relative diff=168.873390968, 98.91 sec so far
Iteration 167: max relative diff=159.607569643, 104.51 sec so far
Iteration 176: max relative diff=151.300281558, 110.10 sec so far
Iteration 185: max relative diff=143.810103776, 115.68 sec so far
Iteration 194: max relative diff=137.022130162, 121.26 sec so far
Iteration 203: max relative diff=130.842034781, 126.90 sec so far
Iteration 212: max relative diff=125.191661862, 132.50 sec so far
Iteration 221: max relative diff=120.005703155, 138.08 sec so far
Iteration 229: max relative diff=116.778884405, 143.08 sec so far
Iteration 238: max relative diff=112.248927312, 148.69 sec so far
Iteration 246: max relative diff=108.054522597, 153.73 sec so far
Iteration 255: max relative diff=104.159718218, 159.33 sec so far
Iteration 264: max relative diff=100.533521038, 164.93 sec so far
Iteration 272: max relative diff=97.1490703371, 170.22 sec so far
Iteration 280: max relative diff=95.015394895, 175.24 sec so far
Iteration 289: max relative diff=91.983329793, 180.84 sec so far
Iteration 298: max relative diff=89.13690133, 186.43 sec so far
Iteration 307: max relative diff=86.4595676271, 192.03 sec so far
Iteration 315: max relative diff=83.936695484, 197.04 sec so far
Iteration 324: max relative diff=81.5552928069, 202.64 sec so far
Iteration 333: max relative diff=79.3037848213, 208.23 sec so far
Iteration 342: max relative diff=77.1718259322, 213.82 sec so far
Iteration 350: max relative diff=75.1501407788, 218.86 sec so far
Iteration 359: max relative diff=73.2303893306, 224.45 sec so far
Iteration 368: max relative diff=71.405051888, 230.05 sec so far
Iteration 377: max relative diff=69.6673306427, 235.65 sec so far
Iteration 385: max relative diff=68.554459294, 240.81 sec so far
Iteration 394: max relative diff=66.9493563872, 246.41 sec so far
Iteration 403: max relative diff=65.4166641379, 252.00 sec so far
Iteration 412: max relative diff=63.9515906642, 257.61 sec so far


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Computation aborted after 1800.2958011627197 seconds since the total time limit of 1800 seconds was exceeded.