Model:kanban v.1 (CTMC)
Parameter(s)t = 5
Property:throughput (steady-state-reward)
Invocation (specific)
./fix-syntax ./prism --javamaxmem 11g kanban.prism kanban.props --property throughput -const t=5 -sparse -bgs
Select best engine and iteration method for CTMC steady-state
Return code:0
Relative Error:5.149864821633621e-08

Date: Mon Dec 10 21:50:43 CET 2018
Hostname: qcomp2019
Memory limits: cudd=1g, java(heap)=1g
Command line: prism --javamaxmem 11g kanban.prism kanban.props --property throughput -const t=5 -sparse -bgs

Parsing model file "kanban.prism"...

Parsing properties file "kanban.props"...

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

Type:        CTMC
Modules:     k1 k2 k3 k4 
Variables:   w1 x1 y1 z1 w2 x2 y2 z2 w3 x3 y3 z3 w4 x4 y4 z4 


Model checking: "throughput": R{"throughput"}=? [ S ]
Model constants: t=5

Building model...
Model constants: t=5

Computing reachable states...

Reachability (BFS): 71 iterations in 0.24 seconds (average 0.003437, setup 0.00)

Time for model construction: 0.223 seconds.

Type:        CTMC
States:      2546432 (1 initial)
Transitions: 24460016

Rate matrix: 6308 nodes (14 terminal), 24460016 minterms, vars: 48r/48c

SCCs: 1, BSCCs: 1, non-BSCC states: 0
BSCC sizes: 1:2546432

Computing steady state probabilities for BSCC 1

Computing probabilities...
Engine: Sparse

Building sparse matrix... [n=2546432, nnz=24460016, compact] [95.7 MB]
Creating vector for diagonals... [dist=187, compact] [4.9 MB]
Allocating iteration vector... [19.4 MB]
TOTAL: [120.0 MB]

Starting iterations...
Iteration 60: max relative diff=0.005511, 5.04 sec so far
Iteration 120: max relative diff=0.000060, 10.10 sec so far

Backwards Gauss-Seidel: 175 iterations in 28.57 seconds (average 0.084331, setup 13.81)

BSCC 1 Reward: 0.30712474345277757

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

Value in the initial state: 0.30712474345277757

Time for model checking: 29.24 seconds.

Result: 0.30712474345277757 (value in the initial state)

Overall running time: 30.009 seconds.