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On Finite Buffer Bulk Arrival Bulk Service Queue with Queue Length and Batch Size Dependent Service
International Journal of Applied and Computational Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anuradha Banerjee
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A Problem in Bulk Service Scheduling
Operations Research, 1972Given the operating costs, usage function, and planning horizon of a bulk service system, say a common-carrier transportation system, the objective is to determine the number and the starting times of the services so that the total profit is maximized. For such problems, this paper studies the existence and computability of optimal schedules. It shows
George L. Nemhauser, P. L. Yu
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A Variable Bulk Arrival and Static Bulk Service Queueing Model for Blockchain
Proceedings of the 2nd ACM International Symposium on Blockchain and Secure Critical Infrastructure, 2020This paper proposes a novel embedded Markovian queueing model of the M(1,n)/Mn/1 type in order to establish a theoretical foundation to design a blockchain-based system with specific interest in Ethereum. The model assumes variable bulk arrivals of transactions in Poisson distribution, i.e., M(1,n), where n the number of slots across all the mined ...
Jongho Seol +4 more
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On a bulk arrival bulk service infinite service queue
Stochastic Analysis and Applications, 1998This paper considers an infinite server queue in continuous time in which arrivals are in batches of variable size X and service is provided in groups of fixed size R. We obtain analytical results for the number of busy servers and waiting customers at arbitrary time points. For the number of busy servers, we obtain a recursive relation for the partial
P.V. Ushakumari, A. Krishnamoorthy
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Multilevel Bulk Service Queues
Operations Research, 1972This paper uses the imbedded-Markov-chain method to study bulk service queuing systems in which the server chooses the capacity and service mechanism depending on the number of customers waiting in line at the start of the service. It derives conditions under which the systems studied are ergodic and obtains the stationary state probability generating
Emil Bahary, Peter Kolesar
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A Note on Feedback Queues with Bulk Service
Journal of the ACM, 1972Abstract : The paper provides some extensions of recent work by Delbrouck, which was published in the Journal of the ACM and dealt with a queuing model of a feedback system with queue-dependent service times. The emphasis of this present work is upon necessary and sufficient conditions for ergodicity, the relationship of the imbedded and general-time ...
Carl M. Harris, Paul G. Marlin
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Markovian bulk-arrival and bulk-service queues with state-dependent control
Queueing Systems, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anyue Chen +3 more
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Decay parameter for general stopped Markovian bulk-arrival and bulk-service queues
Queueing Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anyue Chen +3 more
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Controlled Markovian bulk-arrival and bulk-service queues with catastrophes
SCIENTIA SINICA Mathematica, 2015In this paper, we study a Markovian bulk-arrival and bulk-service queues with state-dependent control and catastrophes. Some properties of the generating functions of the corresponding q -matrix are firstly investigated in detail. By using the generating functions, the first effective catastrophe occurrence time is considered, explicit expression for ...
JunPing LI, LiNa ZHANG
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Optimal bulking threshold of batch service queues
Journal of Applied Probability, 2017Abstract Batch service has a wide application in manufacturing, communication networks, and cloud computing. In batch service queues with limited resources, one critical issue is to properly schedule the service so as to ensure the quality of service.
Yun Zeng, Cathy H. Xia
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