A model of a queueing network is proposed which leads to a stochastic equation generalizing a standard Lindley equation for a single FCFS server. We study the problem of the existence and uniqueness of a stationary solution to this equation and its connection with random processes on a Cayley tree.
机构:
Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China