PRISM

Benchmark
Model:wlan v.1 (MDP)
Parameter(s)MAX_BACKOFF = 4, COL = 0
Property:cost_min (exp-reward)
Invocation (default)
../fix-syntax ../prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 wlan.4.prism wlan.props --property cost_min -const COL=0
Execution
Walltime:12.262542963027954s
Return code:0
Relative Error:0.0
Log
PRISM
=====

Version: 4.5.dev
Date: Fri Feb 26 16:14:26 CET 2021
Hostname: christopher
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -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 ]

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

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): 145 iterations in 0.17 seconds (average 0.001159, setup 0.00)

Time for model construction: 0.23 seconds.

Type:        MDP
States:      345000 (1 initial)
Transitions: 762252
Choices:     440206

Transition matrix: 14365 nodes (6 terminal), 762252 minterms, vars: 43r/43c/7nd

Prob0A: 797 iterations in 3.82 seconds (average 0.004788, setup 0.00)

Prob1E: 798 iterations in 4.78 seconds (average 0.005989, setup 0.00)

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

goal = 1, inf = 0, maybe = 344999

Computing remaining rewards...
Engine: Sparse

Building sparse matrix (transitions)... [n=345000, nc=440205, nnz=762251, k=3] [11.7 MB]
Building sparse matrix (transition rewards)... [n=345000, nc=440205, nnz=93239, k=3] [4.1 MB]
Creating vector for state rewards... [2.6 MB]
Creating vector for inf... [2.6 MB]
Allocating iteration vectors... [2 x 2.6 MB]
TOTAL: [26.3 MB]

Starting iterations...

Iterative method: 818 iterations in 3.05 seconds (average 0.003348, setup 0.31)

Value in the initial state: 7625.0

Time for model checking: 11.685 seconds.

Result: 7625.0 (value in the initial state)


Overall running time: 12.173 seconds.

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

Note: There were 2 warnings during computation.