中文摘要：

把系统具有“启动时间”引进到服务员多重休假和系统采取Min（N，V）-策略控制的M／C／1排队系统中，运用全概率分解技术和拉普拉斯变换工具，讨论了系统从任意初始状态出发队长的瞬态分布和稳态分布，得到队长瞬态分布的拉普拉斯变换的表达式，进一步得到在系统容量设计中有重要价值的稳态队长分布的递推表达式和稳态队长的随机分解结果，并讨论了一些特殊情形．

英文摘要：

In this paper the ＂set-up time＂ is introduced in the M/G/1 queueing system with Min（N, V）-policy based on multiple server vacations. By applying the method of the total probability decomposition technique and the Laplace transform tool, we discuss the transient queue-length distribution and steady state queue-length distribution from the beginning of the any initial state. The expressions of the Laplace -transformation of the transient queue-length distribution are obtained. Further- more, the recursive expressions of the steady state queue-length distribution and the stochastic decomposition of the steady state queue-length are also obtained, whichhave important value in the system capacity design. Meanwhile, some special cases are discussed.