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Computing Customers Sojourn Times in Jackson Networks Distribution Functions and Moments [PDF]
, 2021 13 pages and 3 ...
Manuel Alberto M. Ferreira +1 more
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Operations Research Perspectives, 2015 We study the paper of Gao and Liu (2013). In the paper, the authors pay little attention to the customer’s sojourn time in their model although both the queue length and the busy cycle are seriously analyzed.
Doo Ho Lee, Bo Keun Kim
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Sojourn Time Analysis of a Single-Server Queue with Single- and Batch-Service Customers
MathematicsThere are various types of sharing economy services, such as ride-sharing and shared-taxi rides. Motivated by these services, we consider a single-server queue in which customers probabilistically select the type of service, that is, the single service ...
Yusei Koyama +2 more
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Analysis of the Discrete-time Multi-queue System with a Cycle-based Scheduler
Journal of Telecommunications and Information Technology, 2021 This paper presents an analysis of a discrete-time multi-queue system handling a number of packet streams. The analysis focuses on calculating system state distribution and packet sojourn time distribution.
Wojciech Burakowsk, Maciej Sosnowski
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Performance characteristics of the fork-join queuing system
Informatika, 2023 Objectives. The problem of investigating a fork-join queuing system is considered. It is required to build the process of the system functioning, to find the condition for the existence of a stationary distribution, and propose algorithms for calculating
V. I. Klimenok
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Reliability and Inference for Multi State Systems: The Generalized Kumaraswamy Case
Mathematics, 2021 Semi-Markov processes are typical tools for modeling multi state systems by allowing several distributions for sojourn times. In this work, we focus on a general class of distributions based on an arbitrary parent continuous distribution function G with ...
Vlad Stefan Barbu +2 more
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A Two-Server Queue with Interdependence between Arrival and Service Processes
Mathematics, 2023 In this paper, we analyse a queueing system with two servers where the arrival and service processes are interdependent. The evolution of these processes is governed by transitions on the product space of three Markov chains, which are descriptors of the
Sindhu S +2 more
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Performance evaluation of unreliable system with infinite number of servers [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020 In the paper, we investigate queueing system M/G/∞ with non–homogeneous customers. As non–homogenity, we mean that each customer is characterized by some arbitrarily distributed random volume.
O. Tikhonenko, M. Ziółkowski
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Infectious Disease Modelling, 2020 An SL1L2I1I2A1A2R epidemic model is formulated that describes the spread of an epidemic in a population. The model incorporates an Erlang distribution of times of sojourn in incubating, symptomatically and asymptomatically infectious compartments.
Julien Arino, Stéphanie Portet
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SemiMarkov: An R Package for Parametric Estimation in Multi-State Semi-Markov Models
Journal of Statistical Software, 2015 Multi-state models provide a relevant tool for studying the observations of a continuous-time process at arbitrary times. Markov models are often considered even if semi-Markov are better adapted in various situations.
Agnieszka Król, Philippe Saint-Pierre
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