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Parallel and series queueing model with state and time dependent service
This paper deals with the development and analysis of a parallel and series tandem queueing model with state and time dependent service. The...
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Heavy traffic analysis of multi-class bipartite queueing systems under FCFS
This paper examines the performance of multi-class, multi-server bipartite queueing systems, where each arriving customer is compatible with only a...
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Load balancing in a network of queueing-inventory systems
We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers...
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The kernel method tail asymptotics analytic approach for stationary probabilities of two-dimensional queueing systems
Many queueing systems can be modelled as two-dimensional random walks with reflective boundaries, discrete, continuous or mixed. Stationary...
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A survey of queueing systems with strategic timing of arrivals
Consider a population of customers, each of which needs to decide independently when to arrive to a facility that provides a service during a fixed...
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Queueing Problems in Emergency Departments: A Review of Practical Approaches and Research Methodologies
Problems related to patient scheduling and queueing in emergency departments are gaining increasing attention in theory, in the fields of operations...
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Two-commodity queueing-inventory system with phase-type distribution of service times
A two-commodity queueing-inventory system with phase-type service times and exponential lead times is considered. There are two types of customers;...
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Instability of SRPT, SERPT and SJF multiclass queueing networks
We provide two examples of strictly subcritical multiclass queueing networks which are unstable under the shortest remaining processing time (SRPT)...
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Queueing analysis of a Car/Ride-Share system
In this paper, we propose Car/Ride-Share (CRS), which is a new transportation service aiming at reducing the uneven distribution of cars in...
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Uniform stability of some large-scale parallel server networks
In this paper we study the uniform stability properties of two classes of parallel server networks with multiple classes of jobs and multiple server...
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Open problems in queueing theory inspired by datacenter computing
Datacenter operations today provide a plethora of new queueing and scheduling problems. The notion of a “job” has become more general and...
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Analysis and optimization of hybrid replenishment policy in a double-sources queueing-inventory system with MAP arrivals
A hybrid replenishment policy in double sources queuing-inventory system with MAP flow of consumer customers is proposed. The service time of the...
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WCFS: a new framework for analyzing multiserver systems
Multiserver queueing systems are found at the core of a wide variety of practical systems. Many important multiserver models have a...
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Stein’s method for diffusive limits of queueing processes
Donsker’s theorem is perhaps the most famous invariance principle result for Markov processes. It states that, when properly normalized, a random...
