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Transient behaviour of time-varying tandem queueing networks
Most of the large-scale service systems in real life are subject to time-varying conditions, such as arrival rates, service rates, and other factors...
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The periodic steady-state solution for queues with Erlang arrivals and service and time-varying periodic transition rates
We study a queueing system with Erlang arrivals with k phases and Erlang service with m phases. Transition rates among phases vary periodically with...
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Asymptotic behavior of a system of two coupled queues when the content of one queue is very high
We consider a system of two parallel discrete-time single-server queues, queue 1 and queue 2. The service time of any customer in either queue is...
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Expediting airport security queues through advanced lane assignment
Excessive airport security wait times during peak operational periods have been well-documented in crowdsourced data and well-publicized among the...
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Heavy traffic limits for queues with non-stationary path-dependent arrival processes
In this paper, we develop a diffusion approximation for the transient distribution of the workload process in a standard single-server queue with a...
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Stabilizing the virtual response time in single-server processor sharing queues with slowly time-varying arrival rates
Motivated by the work of Whitt (Queueing Syst 81(4):341–378, 2015) and Ma and Whitt (in: Winter simulation conference, pp 2598–2609, 2015), that...
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A survey of parameter and state estimation in queues
We present a broad literature survey of parameter and state estimation for queueing systems. Our approach is based on various inference activities,...
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Discussion on the transient solution of single server Markovian multiple variant vacation queues with disasters
This paper studies a single server Markovian queue with the possibility of catastrophes at the service station. In this model, the server takes a...
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Refined tail asymptotic properties for the \(M^X/G/1\) retrial queue
In the literature, retrial queues with batch arrivals and heavy-tailed service times have been studied and the so-called equivalence theorem has been...
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Time-Varying Lead Times and Iterative Multi-Model Approaches
The planning models in the previous chapter assume the planned lead times to be workload-independent, exogenous parameters that remain constant over...
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Economics of secondary queue of Indian railways passenger reservation system: a queueing science approach
Reservation systems permit a potential customer to book and pay for a service for the slot in advance. These potential customers are allowed to...
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On partially homogeneous nearest-neighbour random walks in the quarter plane and their application in the analysis of two-dimensional queues with limited state-dependency
This work deals with the stationary analysis of two-dimensional partially homogeneous nearest-neighbour random walks. Such random walks are...
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A functional law of the iterated logarithm for multi-class queues with batch arrivals
A functional law of the iterated logarithm (LIL) and its corresponding LIL are established for a multiclass single-server queue with first come first...
