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

Table 3

The effects of each batch order size parameter 𝜃 on production facility indices (𝜆=0.2, 𝑝=0.8, 𝜇=2, 𝛼=0.1, and 𝛽=0.8).

𝜃	𝜌	lim𝑡→∞𝐴𝑖(𝑡)	lim𝑡→∞Φ𝑖(𝑡)	lim𝑡→∞𝑀𝑖(𝑡)/𝑡
0.2	2.1600	1	0.0741	0.0926
0.3	1.4400	1	0.0741	0.0926
0.4	1.0800	1	0.0741	0.0926
0.5	0.8640	0.8356	0.0619	0.0774
0.6	0.7200	0.6729	0.0498	0.0623
0.7	0.6171	0.5632	0.0417	0.0522