PRISM

Benchmark
Model:fms v.1 (CTMC)
Parameter(s)n = 8
Property:productivity (steady-state-reward)
Invocation (specific)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 fms.prism fms.props --property productivity -const n=8
Execution
Walltime:91.473153591156s
Return code:0
Note(s):Correctness of result is not checked because no reference result is available.
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 14:02:09 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 fms.prism fms.props --property productivity -const n=8

Parsing model file "fms.prism"...

Type:        CTMC
Modules:     machine1 machine2 machine3 machine12 
Variables:   P1 P1wM1 P1M1 P1d P1s P1wP2 M1 P2 P2wM2 P2M2 P2s P2wP1 M2 P3 P3M2 P3s P12 P12wM3 P12M3 P12s M3 

Parsing properties file "fms.props"...

1 property:
(1) "productivity": R{"productivity"}=? [ S ]

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Model checking: "productivity": R{"productivity"}=? [ S ]
Model constants: n=8

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

Building model...
Model constants: n=8

Computing reachable states...

Reachability (BFS): 65 iterations in 5.98 seconds (average 0.092046, setup 0.00)

Time for model construction: 6.412 seconds.

Type:        CTMC
States:      4459455 (1 initial)
Transitions: 38533968

Rate matrix: 215250 nodes (84 terminal), 38533968 minterms, vars: 70r/70c

SCCs: 1, BSCCs: 1, non-BSCC states: 0
BSCC sizes: 1:4459455

Computing steady state probabilities for BSCC 1

Computing probabilities...
Engine: Sparse

Building sparse matrix... [n=4459455, nnz=38533968, compact] [151.2 MB]
Creating vector for diagonals... [dist=1070, compact] [8.5 MB]
Allocating iteration vector... [34.0 MB]
TOTAL: [193.8 MB]

Starting iterations...
Iteration 35: max relative diff=0.020755, 5.12 sec so far
Iteration 70: max relative diff=0.001270, 10.24 sec so far
Iteration 105: max relative diff=0.000058, 15.36 sec so far
Iteration 140: max relative diff=0.000003, 20.47 sec so far

Backwards Gauss-Seidel: 151 iterations in 76.32 seconds (average 0.146245, setup 54.23)

BSCC 1 Reward: 116.6246012120582

All states are in BSCCs (so no reachability probabilities computed)

Value in the initial state: 116.6246012120582

Time for model checking: 84.302 seconds.

Result: 116.6246012120582 (value in the initial state)


Overall running time: 91.283 seconds.

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Note: There was 1 warning during computation.