A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue

Table 1

The effects of batch packet arrival rate 𝑝 on IP controller (𝑛=1,𝛼=0.25).

𝑝	𝜌	lim𝑛→∞𝐴𝑖(𝑛)	lim𝑛→∞Φ𝑖(𝑛)	lim𝑛→∞(𝑀𝑖(𝑛)/𝑛)
0.10	0.2100	0.2100	0.0900	0.0300
0.25	0.5250	0.5250	0.2250	0.0750
0.40	0.8400	0.8400	0.3600	0.1200
0.55	1.1550	1	0.4286	0.1429
0.70	1.4700	1	0.4286	0.1429
0.85	1.7850	1	0.4286	0.1429