The M/M/𝑁 Repairable Queueing System with Variable Breakdown Rates

Table 1

The availability 𝐴 and mean queuing length 𝐿 (𝑁=2, 𝑐=1, and 𝜆=1).

𝜇	𝜉1=0,𝜉2=0.5,and 𝜂=1.2		𝜉1=0.3,𝜉2=0.5, and𝜂=1		𝜉1=0.5,𝜉2=0.5, and 𝜂=1
	L	A	L	A	L	A
1.1	3.0797	0.8951	4.6956	0.8209	4.8505	0.8
1.2	2.3810	0.9058	3.5018	0.8266	3.6549	0.8
1.3	1.9425	0.9147	2.8136	0.8315	2.9650	0.8
1.4	1.6411	0.9224	2.3641	0.8354	2.5138	0.8
1.5	1.4207	0.9290	2.0464	0.8383	2.1947	0.8
1.6	1.2524	0.9348	1.8095	0.8429	1.9563	0.8
1.7	1.1195	0.9399	1.6256	0.8458	1.7710	0.8
1.8	1.0119	0.9443	1.4784	0.8484	1.6225	0.8
𝜇	𝜉1=0.5,𝜉2=0.5,and 𝜂=0.8		𝜉1=0.5,𝜉2=1, and𝜂=1.5		𝜉1=1,𝜉2=0.8, and 𝜂=1.5
	L	A	L	A	L	A
1.1	9.4410	0.7423	9.9094	0.7412	5.0503	0.7734
1.2	6.1455	0.7423	5.7928	0.7509	3.7017	0.7700
1.3	4.6345	0.7423	4.1374	0.7608	2.9584	0.7671
1.4	3.7636	0.7423	3.2405	0.7687	2.4853	0.7646
1.5	3.1952	0.7423	2.6761	0.7756	2.1565	0.7623
1.6	2.7937	0.7423	2.2873	0.7817	1.9140	0.7603
1.7	2.4944	0.7423	2.0025	0.7872	1.7273	0.7585
1.8	2.2389	0.7423	1.7846	0.7920	1.5788	0.7569