PRISM

Benchmark
Model:wlan v.1 (MDP)
Parameter(s)MAX_BACKOFF = 5, COL = 0
Property:cost_min (exp-reward)
Invocation (specific)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 wlan.5.prism wlan.props --property cost_min -const COL=0
Execution
Walltime:96.93561959266663s
Return code:0
Relative Error:0.0
Log
PRISM
=====

Version: 4.5.dev
Date: Sun Mar 15 00:11:18 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 wlan.5.prism wlan.props --property cost_min -const COL=0

Parsing model file "wlan.5.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).

Building model...
Model constants: COL=0

Computing reachable states...

Reachability (BFS): 170 iterations in 0.63 seconds (average 0.003682, setup 0.00)

Time for model construction: 0.543 seconds.

Type:        MDP
States:      1295218 (1 initial)
Transitions: 2929960
Choices:     1646074

Transition matrix: 17250 nodes (7 terminal), 2929960 minterms, vars: 45r/45c/7nd

Prob0A: 1565 iterations in 21.85 seconds (average 0.013962, setup 0.00)

Prob1E: 1566 iterations in 22.90 seconds (average 0.014625, setup 0.00)

Warning: PRISM hasn't checked for zero-reward loops.
Your minimum rewards may be too low...

goal = 1, inf = 0, maybe = 1295217

Computing remaining rewards...
Engine: Sparse

Building sparse matrix (transitions)... [n=1295218, nc=1646073, nnz=2929959, k=3] [44.8 MB]
Building sparse matrix (transition rewards)... [n=1295218, nc=1646073, nnz=328891, k=3] [15.0 MB]
Creating vector for state rewards... [9.9 MB]
Creating vector for inf... [9.9 MB]
Allocating iteration vectors... [2 x 9.9 MB]
TOTAL: [99.3 MB]

Starting iterations...
Iteration 160: max relative diff=0.353659, 5.03 sec so far
Iteration 320: max relative diff=0.214815, 10.05 sec so far
Iteration 480: max relative diff=0.154255, 15.06 sec so far
Iteration 641: max relative diff=0.119835, 20.07 sec so far
Iteration 803: max relative diff=0.097973, 25.10 sec so far
Iteration 967: max relative diff=0.082621, 30.13 sec so far
Iteration 1132: max relative diff=0.071429, 35.13 sec so far
Iteration 1299: max relative diff=0.062907, 40.13 sec so far
Iteration 1468: max relative diff=0.055985, 45.15 sec so far

Iterative method: 1580 iterations in 50.67 seconds (average 0.030673, setup 2.21)

Value in the initial state: 7625.0

Time for model checking: 95.566 seconds.

Result: 7625.0 (value in the initial state)


Overall running time: 96.736 seconds.

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

Note: There were 2 warnings during computation.