New Approach for Finding Basic Performance Measures of Single Server Queue

Table 2

Comparison of stationary queue length probabilities found by the numerical method using various other values of , the extrapolated values, and those obtained from the software “QtsPlus” (, ) = (1.5, 2), (, ) = (3.1, 2).

Δt	Queue length
	0	1	2	3	4	5	6	7
0.088000	0.521712	0.366372	0.088018	0.018916	0.003952	0.000818	0.000169
0.073333	0.520874	0.366316	0.088550	0.019165	0.004034	0.000841	0.000175
0.062857	0.520258	0.366284	0.088935	0.019345	0.004093	0.000858	0.000179
0.059459	0.520054	0.366276	0.089060	0.019405	0.004113	0.000864	0.000181
0.055000	0.519784	0.366266	0.089226	0.019482	0.004139	0.000871	0.000183
0.051163	0.519550	0.366258	0.089369	0.019550	0.004161	0.000878	0.000185
0.048889	0.519410	0.366255	0.089454	0.019590	0.004174	0.000882	0.000186
0.040000	0.518854	0.366244	0.089790	0.019748	0.004227	0.000897	0.000190
0.037931	0.518722	0.366243	0.089868	0.019785	0.004239	0.000900	0.000191
0.033846	0.518461	0.366241	0.090024	0.019859	0.004264	0.000908	0.000193
0.031429	0.518304	0.366241	0.090117	0.019902	0.004279	0.000912	0.000194
0.027848	0.518070	0.366241	0.090254	0.019968	0.004300	0.000918	0.000195
0.027500	0.518047	0.366242	0.090268	0.019974	0.004302	0.000919	0.000196
Fitted value	0.516162	0.366307	0.091340	0.020486	0.004474	0.000969	0.000210
Value based on simulation	0.516033	0.366475	0.091326	0.020488	0.004444	0.000948	0.000215