PRISM

Benchmark
Model:cluster v.1 (CTMC)
Parameter(s)N = 128, T = 2000, t = 20
Property:premium_steady (steady-state-prob)
Invocation (specific)
./fix-syntax ./prism --javamaxmem 11g cluster.prism cluster.props --property premium_steady -const N=128,T=2000,t=20 -sparse -gs
Select best engine and numerical method
Execution
Walltime:8.389344692230225s
Return code:0
Relative Error:0.0
Log
PRISM
=====

Version: 4.4.dev
Date: Mon Dec 10 20:48:16 CET 2018
Hostname: qcomp2019
Memory limits: cudd=1g, java(heap)=1g
Command line: prism --javamaxmem 11g cluster.prism cluster.props --property premium_steady -const 'N=128,T=2000,t=20' -sparse -gs

Parsing model file "cluster.prism"...

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 ]

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 

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

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

Building model...
Model constants: N=128

Computing reachable states...

Reachability (BFS): 261 iterations in 0.13 seconds (average 0.000498, setup 0.00)

Time for model construction: 0.22 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...

Gauss-Seidel: 343 iterations in 7.01 seconds (average 0.012962, setup 2.57)

BSCC 1 probability: 0.997937891093495

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

Value in the initial state: 0.997937891093495

Time for model checking: 7.396 seconds.

Result: 0.997937891093495 (value in the initial state)


Overall running time: 8.173 seconds.