Transient Analysis of a -out-of- System with -Policy, Repairmen’s Multiple Vacations, and Redundant Dependency

Table 2

State probabilities at time for 7-out-of-13: system with Coxian vacation time distribution.

(0, 1)	0.00035092	0.00029939	0.00234782	0.00053402	0.00553206	1.46438762e − 009
(0, 2)	0.00001570	0.00001406	0.00010854	0.00002768	0.00027562	7.85077282e − 011
(0, 3)	0.00002583	0.00002445	0.00001338	0.00003790	0.00003663	1.11697134e − 011
(1, 0)	0.00174761	0.00142072	0.00993678	0.00196404	0.02152652	5.20985591e − 009
(1, 1)	0.00045413	0.00042400	0.00218616	0.00057728	0.00569506	1.66409595e − 009
(1, 2)	0.00006509	0.00006330	0.00018966	0.00005548	0.00053274	1.66490307e − 010
(1, 3)	0.00002469	0.00002448	0.00003408	0.00001099	0.00010354	3.45579489e − 011
(2, 0)	0.00479738	0.00371774	0.02340111	0.00408153	0.04735832	1.05993505e − 008
(2, 1)	0.00183186	0.00181555	0.00201806	0.00062299	0.00593509	1.93557409e − 009
(2, 2)	0.00039904	0.00039768	0.00024507	0.00008265	0.00077639	2.68829258e − 010
(2, 3)	0.00018125	0.00018104	0.00005684	0.00002094	0.00019542	7.20351402e − 011
(3, 0)	0.01160750	0.00832192	0.04632279	0.00656107	0.08456334	1.65062966e − 008
(3, 1)	0.00827586	0.00826777	0.00184327	0.00066987	0.00627604	2.31492208e − 009
(3, 2)	0.00189167	0.00189083	0.00027729	0.00010853	0.00101326	3.93447574e − 010
(3, 3)	0.00087827	0.00087812	0.00007772	0.00003297	0.00030829	1.26915539e − 010
(4, 0)	0.02525538	0.01610759	0.08128551	0.00851398	0.13056128	2.06408248e − 008
(4, 1)	0.02742191	0.02741827	0.00169607	0.00074853	0.00674950	2.86133489e − 009
(4, 2)	0.00630102	0.00630058	0.00029720	0.00013997	0.00125234	5.53711929e − 010
(4, 3)	0.00293426	0.00293416	0.00009782	0.00004999	0.00043993	2.05140706e − 010
(5, 0)	0.04930538	0.02623534	0.12772543	0.00862201	0.17722892	2.01586619e − 008
(5, 1)	0.05441289	0.05441147	0.00157193	0.00089415	0.00661971	3.21565083e − 009
(5, 2)	0.01420495	0.01420475	0.00034141	0.00021096	0.00145043	7.36548624e − 010
(5, 3)	0.00688025	0.00688020	0.00013867	0.00009405	0.00058021	3.10227199e − 010
(6, 0)	0.07625093	0.02417899	0.17869254	0.00571583	0.21066315	1.28614754e − 008
(6, 1)	0.08593299	0.08593251	0.00211544	0.00166564	0.00647683	3.67065617e − 009
(6, 2)	0.02382426	0.02382418	0.00058252	0.00048573	0.00160857	9.52357301e − 010
(6, 3)	0.01188946	0.01188944	0.00030225	0.00026576	0.00071986	4.48165576e − 010
(7, 0)	0.10361052	—	0.21995659	—	0.21763952	—
(7, 1)	0.33241245	—	0.19047261	—	0.03853717	—
(7, 2)	0.09684480	—	0.06464166	—	0.01218233	—
(7, 3)	0.04999499	—	0.04102373	—	0.00716196	—