On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue

Table 1

The steady-state service request number distribution for a network access proxy system (𝑝=0.15, 𝜇=2, 𝜃=0.9, 𝛼=0.01, 𝛽=5, and 𝑁=5).

𝑝^+0	𝑝^+1	𝑝^+2	𝑝^+3	𝑝^+4	𝑝^+5	𝑝^+6	𝑝^+7
0.08333	0.14661	0.17341	0.18040	0.18265	0.10049	0.03816	0.01227
𝑝^+8	𝑝^+9	𝑝^+10	𝑝^+11	𝑝^+12	𝑝^+13	𝑝^+14	𝑝^+15
0.00618	0.00483	0.00456	0.00452	0.00427	0.00388	0.00336	0.00276
𝑝^+16	𝑝^+17	𝑝^+18	𝑝^+19	𝑝^+20	𝑝^+21	𝑝^+22	𝑝^+23
0.00210	0.00162	0.00127	0.00100	0.00079	0.00063	0.00050	0.00040
𝑝^+24	𝑝^+25	𝑝^+26	𝑝^+27	𝑝^+28	𝑝^+29	𝑝^+30	𝑝^+31
0.00032	0.00026	0.00021	0.00016	0.00013	0.00010	0.00008	0.00007
𝑝^+32	𝑝^+33	𝑝^+34	𝑝^+35	𝑝^+36	𝑝^+37	𝑝^+38	𝑝^+39
0.00005	0.00004	0.00003	0.00002	0.00001	0.00000	0.00000	0.00000
𝐸𝐿^+=3.11583, 𝜌=0.58333<1, ∑^39𝑗=0𝑝^+𝑗=0.96461

With Matlab 7.0, the data here are accurate for five places of decimals.