PRISM

Benchmark
Model:csma v.1 (MDP)
Parameter(s)N = 3, K = 4
Property:all_before_max (prob-reach)
Invocation (default)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -ii -heuristic speed -e 1e-6 -ddextraactionvars 100 -maxiters 1000000 csma.3-4.prism csma.props --property all_before_max
Execution
Walltime:121.32249283790588s
Return code:0
Relative Error:1.686789998402266e-07
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 16:43:34 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -ii -heuristic speed -e 1e-6 -ddextraactionvars 100 -maxiters 1000000 csma.3-4.prism csma.props --property all_before_max

Parsing model file "csma.3-4.prism"...

Type:        MDP
Modules:     bus station1 station2 station3 
Variables:   b y1 y2 s1 x1 bc1 cd1 s2 x2 bc2 cd2 s3 x3 bc3 cd3 

Parsing properties file "csma.props"...

5 properties:
(1) "all_before_max": Pmax=? [ !"collision_max_backoff" U "all_delivered" ]
(2) "all_before_min": Pmin=? [ !"collision_max_backoff" U "all_delivered" ]
(3) "some_before": Pmin=? [ F min_backoff_after_success<K ]
(4) "time_max": R{"time"}max=? [ F "all_delivered" ]
(5) "time_min": R{"time"}min=? [ F "all_delivered" ]

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

Model checking: "all_before_max": Pmax=? [ !"collision_max_backoff" U "all_delivered" ]

Warning: Switching to sparse engine and (backwards) Gauss Seidel (default for heuristic=speed).

Building model...

Computing reachable states...

Reachability (BFS): 135 iterations in 2.11 seconds (average 0.015637, setup 0.00)

Time for model construction: 2.436 seconds.

Type:        MDP
States:      1460287 (1 initial)
Transitions: 2396727
Choices:     1471059

Transition matrix: 75002 nodes (6 terminal), 2396727 minterms, vars: 51r/51c/13nd

Prob0A: 133 iterations in 3.90 seconds (average 0.029316, setup 0.00)

Prob1E: 533 iterations in 32.60 seconds (average 0.061163, setup 0.00)

yes = 710317, no = 31622, maybe = 718348

Computing remaining probabilities...
Engine: Sparse

Building quotient MDP, collapsing maximal end components as well as yes and no states...
Time for computing maximal end components: 3.362 seconds, found 0 MECs.
Time for building MEC quotient: 74.01 seconds.

Quotient MDP:
States:      718350 (1 initial)
Transitions: 1281047
Choices:     728534

Transition matrix: 286023 nodes (17 terminal), 1281047 minterms, vars: 51r/51c/65nd
Note: Interval iteration is configured to enforce monotonicity from below.

Building sparse matrix... [n=718350, nc=726132, nnz=1278645, k=3] [16.0 MB]
Creating vector for yes... [5.5 MB]
Creating vector for maybe... [5.5 MB]
Allocating iteration vectors... [4 x 5.5 MB]
TOTAL: [48.9 MB]

Starting iterations (interval iteration)...
Max relative diff between upper and lower bound on convergence: 6.59324E-07
Iterative method (interval iteration): 97 iterations in 2.89 seconds (average 0.019887, setup 0.96)

Value in the initial state: 0.932446771561597

Time for model checking: 117.897 seconds.

Result: 0.932446771561597 (value in the initial state)


Overall running time: 120.942 seconds.

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

Note: There was 1 warning during computation.