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

Table 3

The effects of unpredictable events arrival rate 𝛼 on IP controller (𝑝=0.15,𝑛=1).

𝛼	𝜌	lim𝑛→∞𝐴𝑖(𝑛)	lim𝑛→∞Φ𝑖(𝑛)	lim𝑛→∞(𝑀𝑖(𝑛)/𝑛)
0.25	0.3150	0.3150	0.1350	0.0450
0.45	0.4230	0.4770	0.2430	0.0810
0.65	0.5310	0.5310	0.3510	0.1170
0.85	0.6390	0.6390	0.4590	0.1530
1.05	0.7470	0.7470	0.5670	0.1890
1.25	0.8550	0.8550	0.6750	0.2250
1.45	0.9630	0.9630	0.7830	0.2610
1.65	1.0710	1	0.8319	0.2773
1.85	1.1790	1	0.8473	0.2824