PRISM
=====
Version: 4.5.dev
Date: Sat Mar 14 16:55:50 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 csma.3-4.prism csma.props --property time_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: "time_max": R{"time"}max=? [ F "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 2.38 seconds (average 0.017607, setup 0.00)
Time for model construction: 2.472 seconds.
Type: MDP
States: 1460287 (1 initial)
Transitions: 2396727
Choices: 1471059
Transition matrix: 75002 nodes (6 terminal), 2396727 minterms, vars: 51r/51c/13nd
Prob0E: 149 iterations in 3.06 seconds (average 0.020510, setup 0.00)
Prob1A: 1 iterations in 0.02 seconds (average 0.021000, setup 0.00)
goal = 13, inf = 0, maybe = 1460274
Time for computing an upper bound for expected reward: 30.969 seconds.
Upper bound for max expectation (variant 2): 1305456.8823529412
Computing remaining rewards...
Engine: Sparse
Building sparse matrix (transitions)... [n=1460287, nc=1471046, nnz=2396714, k=3] [38.6 MB]
Building sparse matrix (transition rewards)... [n=1460287, nc=1471046, nnz=1261384, k=3] [25.6 MB]
Creating vector for state rewards... [11.1 MB]
Creating vector for inf... [11.1 MB]
Creating vector for lower bounds... [11.1 MB]
Creating vector for upper bounds... [11.1 MB]
Allocating iteration vectors... [4 x 11.1 MB]
TOTAL: [153.4 MB]
Starting iterations (interval iteration)...
Iteration 77: max relative diff=0.999959, 5.05 sec so far
Iteration 154: max relative diff=0.999896, 10.07 sec so far
Iteration 234: max relative diff=0.953536, 15.13 sec so far
Max relative diff between upper and lower bound on convergence: 0.0489631
Iterative method: 293 iterations in 21.52 seconds (average 0.064253, setup 2.69)
Maximum finite value in solution vector at end of interval iteration: 157.37084045798505
Value in the initial state: 117.0207778134377
Time for model checking: 55.758 seconds.
Result: 117.0207778134377 (value in the initial state)
Overall running time: 58.82 seconds.
---------------------------------------------------------------------
Note: There was 1 warning during computation.