Acta mathematica scientia,Series A ›› 2004, Vol. 4 ›› Issue (6): 683-688.

• Articles • Previous Articles     Next Articles

The Stochastic Decomposition for M/G/1 Queue with p Entering Discipline During Server Vacations

 TANG Ying-Hui, MAO Yong   

  • Online:2004-12-25 Published:2004-12-25
  • Supported by:

    国家教育部高校骨干教师资助计划基金([2000]65)和四川省学术与技术 带头人培养基金([2001]16)资助

Abstract:

This paper considers the M/G/1 queueing system with server vacations in whi ch the customers who arrive during server vacations enter the system with probab ility  p(0≤p≤1). By introducing the server busy period and using the Lapla ce or Laplace Stieltjes transform, both the recursion expression of the Laplace  transform of the transient distribution and the recursion expression of the equ ilibrium distribution for the queue length are obtained. Furthermore, the stocha s tic decomposition of the queue length at a random point in equilibrium and some  corresponding results under special cases are also given.

Key words: Server vacation, p entering discipline, Queue length, Transient distribution, Equilibrium distribution, Stochastic decomposition

CLC Number: 

  • 60K25
Trendmd