PRISM

Benchmark
Model:cluster v.1 (CTMC)
Parameter(s)N = 64, T = 2000, t = 20
Property:below_min (exp-reward-time-bounded)
Invocation (specific)
./fix-syntax ./prism --javamaxmem 11g cluster.prism cluster.props --property below_min -const N=64,T=2000,t=20 -sparse
Select best engine
Execution
Walltime:51.99366116523743s
Return code:0
Relative Error:2.3796637635561605e-08
Log
PRISM
=====

Version: 4.4.dev
Date: Mon Dec 10 21:18:52 CET 2018
Hostname: qcomp2019
Memory limits: cudd=1g, java(heap)=1g
Command line: prism --javamaxmem 11g cluster.prism cluster.props --property below_min -const 'N=64,T=2000,t=20' -sparse

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: "below_min": R{"time_not_min"}=? [ C<=T ]
Model constants: N=64
Property constants: T=2000

Building model...
Model constants: N=64

Computing reachable states...

Reachability (BFS): 133 iterations in 0.04 seconds (average 0.000316, setup 0.00)

Time for model construction: 0.098 seconds.

Type:        CTMC
States:      151060 (1 initial)
Transitions: 733216

Rate matrix: 8225 nodes (71 terminal), 733216 minterms, vars: 23r/23c

Computing rewards...
Engine: Sparse

Building sparse matrix... [n=151060, nnz=733216, compact] [2.9 MB]
Creating vector for diagonals... [dist=3049, compact] [318.9 KB]
Allocating iteration vectors... [3 x 1.2 MB]
TOTAL: [6.7 MB]

Uniformisation: q.t = 51.257040 x 2000.000000 = 102514.080000
Fox-Glynn: left = 100270, right = 105233

Starting iterations...
Iteration 1200 (of 105233): max relative diff=0.009807, 5.00 sec so far
Iteration 2392 (of 105233): max relative diff=0.004218, 10.01 sec so far
Iteration 3578 (of 105233): max relative diff=0.003260, 15.01 sec so far
Iteration 4773 (of 105233): max relative diff=0.002520, 20.01 sec so far
Iteration 5961 (of 105233): max relative diff=0.002254, 25.02 sec so far
Iteration 7149 (of 105233): max relative diff=0.001778, 30.02 sec so far
Iteration 8347 (of 105233): max relative diff=0.000431, 35.02 sec so far
Iteration 9543 (of 105233): max relative diff=0.000036, 40.02 sec so far
Iteration 10739 (of 105233): max relative diff=0.000003, 45.02 sec so far
Iteration 11950 (of 105233): max relative diff=0.000000, 50.03 sec so far

Steady state detected at iteration 12101

Iterative method: 12101 iterations in 51.11 seconds (average 0.004186, setup 0.46)

Value in the initial state: 0.004219443769591423

Time for model checking: 51.144 seconds.

Result: 0.004219443769591423 (value in the initial state)


Overall running time: 51.79 seconds.