Probabilistic Decomposition Method on the ServerIndices of an M^𝜉/G/1 Vacation Queue

Table 4

The effects of unpredictable events arrival rate 𝛼 on production facility indices (𝜆=0.2, 𝑝=0.8, 𝜃=0.5, 𝜇=2, and 𝛽=0.8).

𝛼	𝜌	lim𝑡→∞𝐴𝑖(𝑡)	lim𝑡→∞Φ𝑖(𝑡)	lim𝑡→∞𝑀𝑖(𝑡)/𝑡
0.02	0.8128	0.7765	0.0122	0.0153
0.12	0.8768	0.8506	0.0745	0.0931
0.22	0.9408	0.9271	0.1387	0.1734
0.32	1.0048	1	0.2038	0.2548
0.42	1.0688	1	0.2515	0.3144
0.52	1.1328	1	0.2938	0.3672