Автор(ы): Ефросинин Д. В. (ИПУ РАН, Лаборатория 69)Автор(ов): 1 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Queueing model of a hybrid channel with faster link subject to partial and complete failuresISBN/ISSN: ISSN: 1572-9338Наименование источника: Annals of Operations ResearchОбозначение и номер тома: Vol.202Город: New YorkИздательство: SpringerГод издания: 2013Страницы: 75-102 АннотацияThis paper presents a Markovian queueing model for a hybrid channel consisting of two links with different throughputs. The busy faster link is assumed to be unreliable, with possible partial and complete failures. Partial failures lead to a reduction in the service rate, while complete failure stops the service. Repairs return the faster server to a non-failed state. The problem of the optimal allocation of customers between the servers is considered. The optimality of a threshold-based policy that depends on the failure state of the faster server is proved. The dynamic behaviour of the system for the given threshold policy is described by a four-dimensional Markov process that can be treated as a QBD process with a large number of boundary states. Stationary analysis of the system is performed by means of a matrix-geometric approach, and the main performance measures are derived. Библиографическая ссылка: Ефросинин Д.В. Queueing model of a hybrid channel with faster link subject to partial and complete failures // Annals of Operations Research. 2013. Vol.202. С. 75-102.