在延迟Min (N, D)-策略M/G/1可修排队系统及最优控制策略

潘取玉,唐应辉

Analysis of M/G/1 Repairable Queueing System and Optimal Control Policy with a Replaceable Repair Facility Under Delay Min(N, D)-Policy

Quyu Pan,Yinghui Tang

表 1 不同阀值$N, D$下的每单位时间内所需费用的期望值

D N 1 2 3 4 5 5.1381 6 7 8 9 10 1 72.7177 72.7177 72.7177 72.7177 72.7177 72.7177 72.7177 72.7177 72.7177 72.7177 72.7177 2 62.9313 62.5521 62.5335 62.5325 62.5325 62.5325 62.5325 62.5325 62.5325 62.5325 62.5325 3 58.9588 57.9496 57.8746 57.8695 57.8692 57.8692 57.8692 57.8692 57.8692 57.8692 57.8692 4 57.7637 56.3324 56.1923 56.1802 56.1793 56.1792 56.1792 56.1792 56.1792 56.1792 56.1792 5 57.7136 56.3969 56.2830 56.2739 56.2733 56.2732 56.2732 56.2732 56.2732 56.2732 56.2732 6 57.9797 57.3362 57.4734 57.5142 57.5207 57.5209 57.5215 57.5216 57.5216 57.5216 57.5216 7 58.2257 58.6056 59.3190 59.5182 59.5541 59.5556 59.5591 59.5597 59.5598 59.5598 59.5598 8 58.3738 59.8524 61.4852 62.0234 62.1400 62.1452 62.1592 62.1618 62.1621 62.1621 62.1621 9 58.4444 60.8845 63.7075 64.8239 65.1145 65.1292 65.1712 65.1801 65.1813 65.1814 65.1814 10 58.4728 61.6369 65.7848 67.7421 68.3483 68.3828 68.4877 68.5132 68.5171 68.5176 68.5177