PRISM

Benchmark
Model:csma v.1 (MDP)
Parameter(s)N = 4, K = 2
Property:all_before_max (prob-reach)
Invocation (default)
../fix-syntax ../prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 csma.4-2.prism csma.props --property all_before_max
Execution
Walltime:26.699748754501343s
Return code:0
Relative Error:9.594017489617365e-07
Log
PRISM
=====

Version: 4.5.dev
Date: Fri Feb 26 15:11:01 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 csma.4-2.prism csma.props --property all_before_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: "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): 193 iterations in 1.40 seconds (average 0.007244, setup 0.00)

Time for model construction: 1.513 seconds.

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

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

Prob0A: 186 iterations in 2.49 seconds (average 0.013371, setup 0.00)

Prob1E: 1017 iterations in 20.86 seconds (average 0.020512, setup 0.00)

yes = 142601, no = 25408, maybe = 593953

Computing remaining probabilities...
Engine: Sparse

Building sparse matrix... [n=761962, nc=649787, nnz=1105379, k=4] [14.0 MB]
Creating vector for yes... [5.8 MB]
Allocating iteration vectors... [2 x 5.8 MB]
TOTAL: [31.4 MB]

Starting iterations...

Iterative method: 172 iterations in 1.42 seconds (average 0.005326, setup 0.50)

Value in the initial state: 0.776459404375732

Time for model checking: 24.821 seconds.

Result: 0.776459404375732 (value in the initial state)


Overall running time: 26.578 seconds.

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

Note: There was 1 warning during computation.