作者：Olofsson, Peter
作者单位：Chalmers University of Technology
摘要：A general multitype branching process with sibling dependencies is considered. The dependencies within a group of siblings are described by a joint probability measure, determined by the structure of that particular group. The process is analyzed by means of the embedded macro process, consisting of sibling groups. It is shown that the regular asymptotic behavior of the sibling-dependent process is guaranteed by conditions on the individual reproductions, and that these conditions are exactly ...
作者：Foss, Serguei; Last, Guenter
作者单位：Novosibirsk State University; Braunschweig University of Technology
摘要：We consider a polling system with a finite number of stations fed by compound Poisson arrival streams of customers asking for service. A server travels through the system and upon arrival at a station the server serves all waiting customers until the queue is empty, where the service time distribution depends on the station. The choice of the station to be visited next as well as the corresponding walking time may depend on the whole current state. Examples are systems with a greedy-type routi...
