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Spatial Queues with Infinitely Many Servers
2003Spatial Queues with infinitely many servers arise naturally as models for the planning process of mobile communication networks. A very useful concept has been developed by Cinlar [44], partly on the basis of Massey and Whitt [84]. This assumes single arrivals distributed in time as a non-homogeneous Poisson process. Every arrival chooses a position in
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Learning to Schedule in Multiclass Many-Server Queues with Abandonment
Operations ResearchHow to Learn Which Customer Class to Serve Next? In “Learning to Schedule in Multiclass Many-Server Queues with Abandonment”, Zhong, Birge, and Ward tackle the challenge of scheduling (that is, how to choose the customer that a newly available server will serve) in a multiclass many-server queueing system where customers may abandon ...
Yueyang Zhong +2 more
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Some general results for many server queues
Advances in Applied Probability, 1973Pollaczek's theory for the many server queue is generalized and extended. Pollaczek (1961) found the distribution of the actual waiting times in the model G/G/s as a solution of a set of integral equations.
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Conditions for ergodicity in queues with many servers and waiting
Siberian Mathematical Journal, 1983Translation from Sib. Mat. Zh. 24, No.6(142), 168-175 (Russian) (1983; Zbl 0536.60091).
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On the many server queue with exponential service times
Advances in Applied Probability, 1973The general theory for the many server queue due to Pollaczek (1961) and generalized by the author (de Smit (1973)) is applied to the system with exponential service times. In this way many explicit results are obtained for the distributions of characteristic quantities, such as the actual waiting time, the virtual waiting time, the queue length, the ...
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Modelling heterogeneity in many-server queueing systems
Queueing Systems, 2022openaire +1 more source
Existence and uniqueness of a fluid model for many-server queues with abandonment
Operations Research Letters, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Many-server queues with customer abandonment.
2011Customer call centers with hundreds of agents working in parallel are ubiquitous in many industries. These systems have a large amount of daily traffic that is stochastic in nature. It becomes more and more difficult to manage a call center because of its increasingly large scale and the stochastic variability in arrival and service processes.
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