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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering
Algorithmic Analysis Of The Maximum Level Length In General-Block Two-Dimensional Markov Processes, Jesus R. Artalejo, Srinivas R. Chakravarthy
Algorithmic Analysis Of The Maximum Level Length In General-Block Two-Dimensional Markov Processes, Jesus R. Artalejo, Srinivas R. Chakravarthy
Industrial & Manufacturing Engineering Publications
Two-dimensional continuous-time Markov chains (CTMCs) are useful tools for studying stochastic models such as queueing, inventory, and production systems. Of particular interest in this paper is the distribution of the maximal level visited in a busy period because this descriptor provides an excellent measure of the system congestion. We present an algorithmic analysis for the computation of its distribution which is valid for Markov chains with general-block structure. For a multiserver batch arrival queue with retrials and negative arrivals, we exploit the underlying internal block structure and present numerical examples that reveal some interesting facts of the system.
A Multi-Server Markovian Queueing Model With Primary And Secondary Services, Valentina Klimenok, Srinivas R. Chakravarthy, Alexander Dudin
A Multi-Server Markovian Queueing Model With Primary And Secondary Services, Valentina Klimenok, Srinivas R. Chakravarthy, Alexander Dudin
Industrial & Manufacturing Engineering Presentations And Conference Materials
We study a multi-server queueing model in which the arrivals occur according to a Markovian arrival process. An arriving customer either (a) is lost due to all main servers being busy; or (b) enters into service with one of the main servers and leaves the system (as a satisfied primary customer); (c) enters into a service with one of the main servers, gets service in self-service mode, and is impatient to get a final service with one of the main servers, may leave the system (as a dissatisfied secondary customer); or (d) enters into service with one of the main …