Bounds on Worst-Case Deadline Failure Probabilities in Controller Area Networks

Table 1

Comparison of analytical and stochastic simulation results.

	Mean burst interarrival	1000	10000	20000	30000
	Mean burst length	1	10	20	30
BER	Calculated	0.001000000	0.001000000	0.001000000	0.001000000
	Observed	0.001000200	0.000999700	0.001000100	0.001003200
Mean	Calculated	0.099000000	0.010800000	0.005900000	0.004266667
	Observed	0.099227000	0.010800600	0.005889200	0.004270500
Var	Calculated	11.309865667	1.132750027	0.566898523	0.378270684
	Observed	11.398210000	1.134113000	0.566252100	0.378072900
	Old bound [8]	0.139636696	>0.5	>0.5	>0.5
	New bound	0.049658914	0.000322315	0.000069962	0.000028680
	Observed	0.000439610	0.000008529	0.000002429	0.000001000