PRISM

Benchmark
Model:csma v.1 (MDP)
Parameter(s)N = 4, K = 2
Property:time_max (exp-reward)
Invocation (default)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 csma.4-2.prism csma.props --property time_max
Execution
Walltime:14.65919041633606s
Return code:0
Relative Error:1.3012508401996453e-05
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 17:05:23 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 csma.4-2.prism csma.props --property time_max

Parsing model file "csma.4-2.prism"...

Type:        MDP
Modules:     bus station1 station2 station3 station4 
Variables:   b y1 y2 s1 x1 bc1 cd1 s2 x2 bc2 cd2 s3 x3 bc3 cd3 s4 x4 bc4 cd4 

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): 193 iterations in 2.38 seconds (average 0.012311, setup 0.00)

Time for model construction: 2.309 seconds.

Type:        MDP
States:      761962 (1 initial)
Transitions: 1327068
Choices:     825504

Transition matrix: 52233 nodes (4 terminal), 1327068 minterms, vars: 54r/54c/17nd

Prob0E: 204 iterations in 3.02 seconds (average 0.014824, setup 0.00)

Prob1A: 1 iterations in 0.01 seconds (average 0.012000, setup 0.00)

goal = 9, inf = 0, maybe = 761953

Computing remaining rewards...
Engine: Sparse

Building sparse matrix (transitions)... [n=761962, nc=825495, nnz=1327059, k=4] [21.2 MB]
Building sparse matrix (transition rewards)... [n=761962, nc=825495, nnz=456769, k=4] [11.3 MB]
Creating vector for state rewards... [5.8 MB]
Creating vector for inf... [5.8 MB]
Allocating iteration vectors... [2 x 5.8 MB]
TOTAL: [55.8 MB]

Starting iterations...
Iteration 262: max relative diff=0.001114, 5.01 sec so far

Iterative method: 370 iterations in 8.46 seconds (average 0.019049, setup 1.41)

Value in the initial state: 142.21031856044027

Time for model checking: 11.562 seconds.

Result: 142.21031856044027 (value in the initial state)


Overall running time: 14.474 seconds.

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Note: There was 1 warning during computation.