An Production Inventory Controlled Self-Service Queuing System

Table 4

Stationary distributions of production inventory queuing system.

	Inventory level
↓	0	1	2					5
	(When )
0	0.023570878	0.047852452	0.077716719	0.057006166	0.061976512	0.056487038	0.037185907	0.055778861
1	0.024822355	0.039284797	0.056183208	0.038259435	0.043415977	0.038004111	0.025577468	0.037658025
2	0.019696824	0.025656673	0.024017735	0.012910347	0.016452625	0.012880807	0.009137528	0.012841079
3	0.014158891	0.016279803	0.011265553	0.002953309	0.005364317	0.002973767	0.002454857	0.003004248
4	0.009767430	0.010466935	0.006074735	0.000675729	0.002329404	0.000555475	0.000699878	0.000579152
5	0.006618010	0.006839790	0.003645597	0.000171047	0.001261194	0.000127200	0.000304902	0.000121941
6	0.004448811	0.004518396	0.002321737	0.000055823	0.000770035	0.000044171	0.000171759	0.000044656
7	0.002980305	0.003002679	0.001520192	0.000025384	0.000496029	0.000022663	0.000107741	0.000024266
8	0.001993551	0.002001301	0.001007287	0.000014562	0.000326616	0.000013964	0.000070313	0.000015263
9	0.001332645	0.001335715	0.000670733	0.000009249	0.000216958	0.000009118	0.000046559	0.000010011
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮
	(When )
0	0.034257750	0.059362526	0.092582634	0.066836851	0.073482486	0.066579902	0.044089492	0.066134238
1	0.018828220	0.045677001	0.064679792	0.044633055	0.050308809	0.044557900	0.029888176	0.044386601
2	0.007684857	0.013685043	0.024088215	0.014903162	0.017637181	0.014915262	0.010244354	0.014938283
3	0.002810841	0.003970403	0.004510621	0.003704683	0.004125032	0.003328799	0.002347414	0.003356255
4	0.000979115	0.001186169	0.000945875	0.000434945	0.000576920	0.000603375	0.000401599	0.000565522
5	0.000333307	0.000368540	0.000232572	0.000049467	0.000104935	0.000053730	0.000044775	0.000079085
6	0.000112224	0.000118038	0.000065614	0.000005605	0.000024864	0.000004977	0.000007460	0.000006341
7	0.000037588	0.000038529	0.000020176	0.000000666	0.000007051	0.000000548	0.000001788	0.000000731
8	0.000012558	0.000012709	0.000006484	0.000000092	0.000002191	0.000000088	0.000000522	0.000000143
9	0.000004191	0.000004215	0.000002127	0.000000016	0.000000709	0.000000021	0.000000165	0.000000040
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮
	(When )
0	0.042391896	0.065221775	0.098458225	0.070151223	0.077810343	0.070120696	0.046686205	0.070029308
1	0.004830091	0.045218022	0.066311062	0.046730926	0.052144341	0.046767482	0.031225679	0.046747131
2	0.000404533	0.002325971	0.022569652	0.015547370	0.017438959	0.015558697	0.010433476	0.015599336
3	0.000030116	0.000109495	0.000693969	0.004233041	0.003327043	0.003435234	0.002203434	0.003437179
4	0.000002122	0.000005155	0.000020555	0.000107589	0.000063755	0.000654103	0.000302508	0.000555848
5	0.000000145	0.000000255	0.000000616	0.000002615	0.000001256	0.000011934	0.000004228	0.000073972
6	0.000000009	0.000000013	0.000000019	0.000000061	0.000000026	0.000000211	0.000000060	0.000000985
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮