PRISM

Benchmark
Model:wlan v.1 (MDP)
Parameter(s)MAX_BACKOFF = 5, COL = 0
Property:cost_min (exp-reward)
Invocation (default)
./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:97.43040728569031s
Return code:0
Relative Error:0.0
Log
PRISM
=====

Version: 4.5.dev
Date: Sun Mar 15 00:09:40 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 0.55 seconds (average 0.003206, setup 0.00)

Time for model construction: 0.536 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 22.11 seconds (average 0.014127, setup 0.00)

Prob1E: 1566 iterations in 22.96 seconds (average 0.014663, 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 158: max relative diff=0.358025, 5.00 sec so far
Iteration 317: max relative diff=0.216418, 10.01 sec so far
Iteration 477: max relative diff=0.155080, 15.03 sec so far
Iteration 637: max relative diff=0.120332, 20.03 sec so far
Iteration 799: max relative diff=0.098305, 25.06 sec so far
Iteration 962: max relative diff=0.083095, 30.07 sec so far
Iteration 1127: max relative diff=0.071782, 35.09 sec so far
Iteration 1294: max relative diff=0.063043, 40.10 sec so far
Iteration 1463: max relative diff=0.056202, 45.13 sec so far

Iterative method: 1580 iterations in 50.85 seconds (average 0.030760, setup 2.25)

Value in the initial state: 7625.0

Time for model checking: 96.06 seconds.

Result: 7625.0 (value in the initial state)


Overall running time: 97.228 seconds.

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Note: There were 2 warnings during computation.