PRISM
=====
Version: 4.5.dev
Date: Sat Mar 14 14:54:37 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -maxiters 1000000 polling.18.prism polling.props --property s1_before_s2 -const T=16
Parsing model file "polling.18.prism"...
Type: CTMC
Modules: server station1 station2 station3 station4 station5 station6 station7 station8 station9 station10 station11 station12 station13 station14 station15 station16 station17 station18
Variables: s a s1 s2 s3 s4 s5 s6 s7 s8 s9 s10 s11 s12 s13 s14 s15 s16 s17 s18
Parsing properties file "polling.props"...
5 properties:
(1) "s1": S=? [ s1=1&!(s=1&a=1) ]
(2) "s1_before_s2": P=? [ !(s=2&a=1) U (s=1&a=1) ]
(3) "served": R{"served"}=? [ C<=T ]
(4) "station1_polled": P=? [ F<=T (s=1&a=0) ]
(5) "waiting": R{"waiting"}=? [ C<=T ]
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Model checking: "s1_before_s2": P=? [ !(s=2&a=1) U (s=1&a=1) ]
Warning: Switching to sparse engine and (backwards) Gauss Seidel (default for heuristic=speed).
Building model...
Computing reachable states...
Reachability (BFS): 37 iterations in 0.17 seconds (average 0.004622, setup 0.00)
Time for model construction: 0.098 seconds.
Type: CTMC
States: 7077888 (1 initial)
Transitions: 69599232
Rate matrix: 2745 nodes (4 terminal), 69599232 minterms, vars: 24r/24c
Diagonals vector: 1540 nodes (38 terminal), 7077888 minterms
Embedded Markov chain: 17929 nodes (72 terminal), 69599232 minterms
Prob0: 36 iterations in 0.09 seconds (average 0.002361, setup 0.00)
Prob1: 35 iterations in 0.03 seconds (average 0.000714, setup 0.00)
yes = 3407872, no = 262144, maybe = 3407872
Computing remaining probabilities...
Engine: Sparse
Building sparse matrix... [n=7077888, nnz=35258368, compact] [141.3 MB]
Creating vector for diagonals... [dist=1, compact] [13.5 MB]
Creating vector for RHS... [dist=2, compact] [13.5 MB]
Allocating iteration vectors... [ 2 x 54.0 MB]
TOTAL: [276.3 MB]
Starting iterations...
Iteration 21: max relative diff=0.725781, 5.16 sec so far
Iteration 42: max relative diff=0.477707, 10.29 sec so far
Iteration 63: max relative diff=0.296655, 15.45 sec so far
Iteration 84: max relative diff=0.176925, 20.59 sec so far
Iteration 105: max relative diff=0.102824, 25.75 sec so far
Iteration 126: max relative diff=0.058829, 30.92 sec so far
Max relative diff between upper and lower bound on convergence: 0.048727
Backwards Gauss-Seidel (interval iteration): 133 iterations in 38.73 seconds (average 0.245398, setup 6.09)
Value in the initial state: 0.5381433111220242
Time for model checking: 38.883 seconds.
Result: 0.5381433111220242 (value in the initial state)
Overall running time: 39.596 seconds.
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Note: There was 1 warning during computation.