PRISM

./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -ii -heuristic speed -e 1e-6 -ddextraactionvars 100 -maxiters 1000000 cluster.prism cluster.props --property premium_steady -const N=128,T=2000,t=20

PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 12:37:35 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 cluster.prism cluster.props --property premium_steady -const 'N=128,T=2000,t=20'

Parsing model file "cluster.prism"...

Type:        CTMC
Modules:     Left Right Repairman Line ToLeft ToRight 
Variables:   left_n left right_n right r line line_n toleft toleft_n toright toright_n 

Parsing properties file "cluster.props"...

8 properties:
(1) "below_min": R{"time_not_min"}=? [ C<=T ]
(2) "operational": R{"percent_op"}=? [ I=t ]
(3) "premium_steady": S=? [ "premium" ]
(4) "qos1": P=? [ F<=T !"minimum" ]
(5) "qos2": P=? [ F[t,t] !"minimum" ]
(6) "qos3": P=? [ "minimum" U<=t "premium" ]
(7) "qos4": P=? [ !"minimum" U>=t "minimum" ]
(8) "repairs": R{"num_repairs"}=? [ C<=T ]

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Model checking: "premium_steady": S=? [ "premium" ]
Model constants: N=128

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

Building model...
Model constants: N=128

Computing reachable states...

Reachability (BFS): 261 iterations in 0.16 seconds (average 0.000598, setup 0.00)

Time for model construction: 0.253 seconds.

Type:        CTMC
States:      597012 (1 initial)
Transitions: 2908192

Rate matrix: 17481 nodes (134 terminal), 2908192 minterms, vars: 25r/25c

SCCs: 1, BSCCs: 1, non-BSCC states: 0
BSCC sizes: 1:597012

Computing steady state probabilities for BSCC 1

Computing probabilities...
Engine: Sparse

Building sparse matrix... [n=597012, nnz=2908192, compact] [11.7 MB]
Creating vector for diagonals... [dist=6345, compact] [1.2 MB]
Allocating iteration vector... [4.6 MB]
TOTAL: [17.4 MB]

Starting iterations...
Iteration 376: max relative diff=0.273061, 5.01 sec so far
Iteration 752: max relative diff=0.018784, 10.01 sec so far
Iteration 1128: max relative diff=0.000147, 15.02 sec so far
Iteration 1503: max relative diff=0.000088, 20.02 sec so far
Iteration 1878: max relative diff=0.000052, 25.03 sec so far
Iteration 2254: max relative diff=0.000031, 30.03 sec so far
Iteration 2630: max relative diff=0.000019, 35.04 sec so far
Iteration 3006: max relative diff=0.000011, 40.04 sec so far
Iteration 3382: max relative diff=0.000007, 45.04 sec so far
Iteration 3758: max relative diff=0.000004, 50.05 sec so far
Iteration 4133: max relative diff=0.000002, 55.06 sec so far
Iteration 4510: max relative diff=0.000001, 60.07 sec so far

Backwards Gauss-Seidel: 4769 iterations in 66.12 seconds (average 0.013319, setup 2.60)

BSCC 1 probability: 0.9979378926049853

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

Value in the initial state: 0.9979378926049853

Time for model checking: 66.609 seconds.

Result: 0.9979378926049853 (value in the initial state)


Overall running time: 67.45 seconds.

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Note: There was 1 warning during computation.