Transient analysis of a queue with queue-length dependent MAP and its application to SS7 network

Queue length synchronization in a communication network

Traffic flows on networks have been the subject of intensive study [1]. We study this problem in the context of a two dimensional lattice of nodes and hubs. When many messages flow on the lattice, hubs which lie on many message paths tend to get congested. We rank the hubs by their coefficient of betweenness centrality (CBC) [2] which is defined as the number of messages Nk running through a gi...

Queue Length Analysis of a Markov-modulated Vacation Queue with Dependent Arrival and Service Processes and Exhaustive Service Policy

The paper introduces a class of vacation queues where the arrival and service processes are modulated by the same Markov process, hence they can be dependent. The main result of the paper is the probability generating function for the number of jobs in the system. The analysis follows a matrix-analytic approach. A step of the analysis requires the evaluation of the busy period of a quasi birth ...

Bmap/g/1 Queue under D-policy: Queue Length Analysis

Transient queue length and busy period of the BMAP / PH / 1 queue

We derive in this paper the transient queue length and the busy period distributions in the single server queue with phase-type (PH) services times and a batch Markovian arrival process (BMAP). These distributions are obtained by the uniformization technique which gives simple recurrence relations. The main advantage of this technique is that it leads to stable algorithms for which the precisio...

construction and validation of translation metacognitive strategy questionnaire and its application to translation quality

like any other learning activity, translation is a problem solving activity which involves executing parallel cognitive processes. the ability to think about these higher processes, plan, organize, monitor and evaluate the most influential executive cognitive processes is what flavell (1975) called “metacognition” which encompasses raising awareness of mental processes as well as using effectiv...