平稳分布 meaning in English
stationary distribution
Examples
- The hitting time and stationary distribution for single birth processes
单生过程击中时与平稳分布 - Markov chain : discret - time markov chains , classification of states , ergodic , stationary distribution . continuous - time markov chains , birth and death process
马尔可夫链:离散时间的马尔可夫链,状态的分类,遍历性,平稳分布。连续时间的马尔可夫链,生灭过程。 - ( 3 ) we presented the existent condition and representation formula of the stationary distribution of the waiting time w ( t ) of the arrival customer at time t for gi / g / 1 queueing system
( 3 )给出gi g 1排队系统在时刻t到达的顾客的等待时间w ( t )的平稳分布的存在条件及表达式。 - ( ii ) statistical equilibrium theory for gi / g / 1 queueing system ( 1 ) calculation of expectation and integral of a special family of func - tions of the idle - busy period for gi / g / 1 queueing system is settled . these element will be shown in the representation of the stationary distribution for the l ( t )
(二) gi g 1排队系统的统计平衡理论( 1 )求出gi g 1排队系统的忙闲周期的数学期望和特定的一族函数的积分,这些量将在队长l ( t )的平稳分布的表达式中出现。 - In this paper , the repairable queuing system with police is studied . some important queuing quantities and reliability quantities are in detail discussed as follows : ( 1 ) using the renewal process theory and the method of stochastic decomposition , both the transient and equilibrium distributions of the queue length from any state are discussed , and the recursion expression of the equilibrium distribution is given by furthermore , the generating function of equilibrium queuing length distribution is given by ( 2 ) the distribution of waiting time is discussed , and the mean waiting time is given by ( 3 ) the departure of the system is discussed , and the mean value of departure customers when is given by
具体如下: ( 1 )利用更新过程理论和随机分解方法,讨论了从任意初始状态出发队长分布的瞬态解和稳态解,得到了队长平稳分布的递推公式:并进一步求得了系统的稳态队长分布的母函数( 2 )讨论了稳态等待时间分布,求得了平均等待时间: ( 3 )讨论了系统的输出过程,求得了长期单位时间内离去顾客的平均数: ( 4 )讨论了服务台的不可用度,得到了稳态不可用度: ( 5 )讨论了内服务台平均故障次数,求得了长期单位时间内的平均故障次数