Results 21 to 30 of about 10,964,931 (140)
Retrial BMAP/PH/N Queueing System with a Threshold-Dependent Inter-Retrial Time Distribution
Mathematics, 2022 In this paper, we study a multi-server queueing system with retrials and an infinite orbit. The arrival of primary customers is described by a batch Markovian arrival process (BMAP), and the service times have a phase-type (PH) distribution.
Valentina I. Klimenok +3 more
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Analysis of a k-Stage Bulk Service Queuing System with Accessible Batches for Service
Mathematics, 2021 In most of the service systems considered so far in queuing theory, no fresh customer is admitted to a batch undergoing service when the number in the batch is less than a threshold.
Achyutha Krishnamoorthy +2 more
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Elucidating the Short Term Loss Behavior of Markovian‐Modulated Batch‐Service Queueing Model with Discrete‐Time Batch Markovian Arrival Process [PDF]
Mathematical Problems in Engineering, 2014 This paper applies a matrix‐analytical approach to analyze the temporal behavior of Markovian‐modulated batch‐service queue with discrete‐time batch Markovian arrival process (DBMAP). The service process is correlated and its structure is presented through discrete‐time batch Markovian service process (DBMSP). We examine the temporal behavior of packet
Wang, Yung-Chung +3 more
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Modeling of Railway Stations Based on Queuing Networks
Applied Sciences, 2021 Among the micro-logistic transport systems, railway stations should be highlighted, such as one of the most important transport infrastructure elements. The efficiency of the transport industry as a whole depends on the quality of their operation.
Igor Bychkov +3 more
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EIGENVALUE EXPRESSION FOR A BATCH MARKOVIAN ARRIVAL PROCESS
Journal of the Operations Research Society of Japan, 1997 Summary: Consider a batch Markovian arrival process (BMAP) as the counting process of an underlying process representing the state of environment. Such a process is useful for representing correlated inputs for example. They are used both as a modeling tool and as a theoretical device to represent and approximate superposition of input processes and ...
Nishimura, Shoichi, Sato, Hajime
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Modeling IP traffic using the batch Markovian arrival process
Performance Evaluation, 2003 In this paper, we show how to utilize the expectation-maximization (EM) algorithm for efficient and numerical stable parameter estimation of the batch Markovian arrival process (BMAP). In fact, effective computational formulas for the E-step of the EM algorithm are presented, which utilize the well-known randomization technique and a stable calculation
Klemm, Alexander +2 more
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A Note on the Waiting-Time Distribution in an Infinite-Buffer GI[X]/C-MSP/1 Queueing System
Journal of Probability and Statistics, 2018 This paper deals with a batch arrival infinite-buffer single server queue. The interbatch arrival times are generally distributed and arrivals are occurring in batches of random size.
A. D. Banik +2 more
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Multi-server queueing system with reserve servers
Журнал Белорусского государственного университета: Математика, информатика, 2019 In this paper, we investigate a multi-server queueing system with an unlimited buffer, which can be used in the design of energy consumption schemes and as a mathematical model of unreliable real stochastic systems.
Valentina I. Klimenok
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On identifiability of MAP processes [PDF]
, 2008 Two types of transitions can be found in the Markovian Arrival process or MAP: with and without arrivals. In transient transitions the chain jumps from one state to another with no arrival; in effective transitions, a single arrival occurs.
Lillo Rodríguez, Rosa Elvira +2 more
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An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure [PDF]
Annals of Operations Research, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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