Discrete-Time State Dependent Bulk Service Queue with Multiple Vacations and Changeover Times

Table 3

Sensitivity analysis of Geo/Geo^{(𝑎,𝑐,𝑏)}/1 queue with and without state dependent, vacations, and changeover times.

		𝐿𝑞
		𝜇1=0.05,𝜇2=0.1			𝜇1=𝜇2=0.05
𝑐	(𝑎,𝑏)	MV, Chov	MV, No Chov	No vac,	MV, Chov	MV, No Chov	No vac,
		𝜙=0.3,𝛼1=0.35	𝜙=0.3	No Chov	𝜙=0.3,𝛼1=0.35	𝜙=0.3	No Chov
		𝛼2=0.25,𝜆=0.2	𝜆=0.2	𝜆=0.2	𝛼2=0.25,𝜆=0.2	𝜆=0.2	𝜆=0.2
	(3, 10)	2.81752	2.94114	2.76699	4.05474	4.11482	4.0067
	(4, 10)	3.03040	3.14029	2.95542	4.09340	4.16072	4.03604
7	(5, 10)	3.20035	3.30077	3.10829	4.13791	4.20747	4.06983
	(5, 11)	3.19120	3.29053	3.10034	4.04412	4.11406	3.97658
	(5, 12)	3.18598	3.28500	3.09540	3.98130	4.05235	3.91305
	(3, 10)	3.13138	3.27399	3.08551	4.24377	4.32539	4.19104
	(4, 10)	3.36391	3.49000	3.28921	4.31313	4.4003	4.24690
8	(5, 10)	3.54633	3.66195	3.45191	4.38036	4.46915	4.30085
	(5, 11)	3.53526	3.64735	3.44485	4.29048	4.37541	4.21707
	(5, 12)	3.52970	3.64070	3.44047	4.23238	4.31705	4.16008
	(3, 10)	3.47278	3.63592	3.42944	4.47623	4.58655	4.41201
	(4, 10)	3.72724	3.87294	3.64835	4.58047	4.69580	4.49617
9	(5, 10)	3.92456	4.06050	3.82090	5.34441	4.79109	4.57118
	(5, 11)	3.90616	4.03152	3.81461	4.57708	4.67891	4.49579
	(5, 12)	3.89853	4.02055	3.81069	4.52012	4.61798	4.44461