M/G/1非空竭服务休假排队系统随机分解

Analysis of decomposition structure of M/G/1 type vacation queue with nonexhaustive service

讨论了一般非空竭服务M/G/1型休假排队系统及其变体的稳态队长随机分解 运用广义分支链,在独立休假策略下得到稳态队长随机分解的一般结构,而且各部分随机分解结构概率含义明确 利用随机分解一般结构式从独立休假策略与经典M/G/1变体两方面来推广Fuhrman与Cooper的随机分解的结论,得到系列非空竭服务M/G/1型休假排队系统变体稳态队长的随机分解

The stochastic decomposition on the M/G/1 vacation queue and its variants with nonexhaustive service are discussed. With independent vacation policy a certain structure of stochastic decomposition of steady queue length is acquired. Based on the general structure, the stochastic decomposition with several class of queues of M/G/1 type variants with certain vocation policy is easily obtained.