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

Table 2

The effects of batch size parameter 𝑛 on IP controller (𝑝=0.15,𝛼=0.25).

𝑛	𝜌	lim𝑛→∞𝐴𝑖(𝑛)	lim𝑛→∞Φ𝑖(𝑛)	lim𝑛→∞(𝑀𝑖(𝑛)/𝑛)
1	0.3150	0.3150	0.1350	0.0450
3	0.6300	0.6300	0.2700	0.0900
5	0.9450	0.9450	0.4050	0.1350
7	1.2600	1	0.4286	0.1429
9	1.5750	1	0.4286	0.1429
11	1.8900	1	0.4286	0.1429