Performance Analysis and Optimal Allocation of Layered Defense M/M/N Queueing Systems

Table 9

The results of operating parameters of the adjusted queueing system.

Parameters	Before adjustment	Number of BMs, 3-fold increase	Intensity of BMs arriving, 2-fold increase	Mean shooting time, 2-fold increase	Target channels, 1/3 reduction
Mean occupancy rate of target channels	22.6%	27.7%	40.9%	43.9%	63.9%
Mean number of waiting BMs	0.000	0.000	0.000	0.000	0.000
Mean waiting time of BMs	0.000	0.000	0.000	0.000	0.000
Mean number of BMs in system	1.732	1.887	2.059	2.084	1.491
Number of penetrated BMs	7	45	15	19	21
Probability of BM penetration	23.3%	30%; 28.7% increase	50%; 114% increase	63.3%; 171% increase	70%; 200% increase
Total DE	42.95%	39.2%; 8.7% reduction	28%; 34.8% reduction	20.6%; 50.0% reduction	16.8%; 60.9% reduction