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- research-articleFebruary 2024
A queueing model of dynamic pricing and dispatch control for ride-hailing systems incorporating travel times
Queueing Systems: Theory and Applications (QSYS), Volume 106, Issue 1-2Feb 2024, Pages 1–66https://doi.org/10.1007/s11134-023-09901-yAbstractA system manager makes dynamic pricing and dispatch control decisions in a queueing network model motivated by ride hailing applications. A novel feature of the model is that it incorporates travel times. Unfortunately, this renders the exact ...
- research-articleJanuary 2024
Adaptive service rate control of an M/M/1 queue with server breakdowns
Queueing Systems: Theory and Applications (QSYS), Volume 106, Issue 1-2Feb 2024, Pages 159–191https://doi.org/10.1007/s11134-023-09900-zAbstractWe study service rate control problems for an M/M/1 queue with server breakdowns in which the breakdown rate is assumed to be a function of the service rate. Assuming that the queue has infinite capacity, we first establish the optimality ...
- research-articleDecember 2023
- research-articleDecember 2023
Some reflected autoregressive processes with dependencies
Queueing Systems: Theory and Applications (QSYS), Volume 106, Issue 1-2Feb 2024, Pages 67–127https://doi.org/10.1007/s11134-023-09899-3AbstractMotivated by queueing applications, we study various reflected autoregressive processes with dependencies. Among others, we study cases where the interarrival and service times are proportionally dependent on additive and/or subtracting delay, as ...
- research-articleNovember 2023
Join-Up-To(m): improved hyperscalable load balancing
Queueing Systems: Theory and Applications (QSYS), Volume 105, Issue 3-4Dec 2023, Pages 291–316https://doi.org/10.1007/s11134-023-09897-5AbstractVarious load balancing policies are known to achieve vanishing waiting times in the large-scale limit, that is, when the number of servers tends to infinity. These policies either require a communication overhead of one message per job or require ...
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- research-articleOctober 2023
Reflected Brownian motion with drift in a wedge
Queueing Systems: Theory and Applications (QSYS), Volume 105, Issue 3-4Dec 2023, Pages 233–270https://doi.org/10.1007/s11134-023-09893-9AbstractWe study reflecting Brownian motion with drift constrained to a wedge in the plane. Our first set of results provides necessary and sufficient conditions for existence and uniqueness of a solution to the corresponding submartingale problem with ...
- research-articleOctober 2023
Open networks of infinite server queues with non-homogeneous multivariate batch Poisson arrivals
Queueing Systems: Theory and Applications (QSYS), Volume 105, Issue 3-4Dec 2023, Pages 171–187https://doi.org/10.1007/s11134-023-09891-xAbstractIn this paper, we consider the occupancy distribution for an open network of infinite server queues with multivariate batch arrivals following a non-homogeneous Poisson process, and general service time distributions. We derive a probability ...
- research-articleAugust 2023
- research-articleDecember 2022
Strategic customer behavior and optimal policies in a passenger–taxi double-ended queueing system with multiple access points and nonzero matching times
Queueing Systems: Theory and Applications (QSYS), Volume 102, Issue 3-4Dec 2022, Pages 481–508https://doi.org/10.1007/s11134-022-09786-3AbstractThis paper considers an observable double-ended queueing system of passengers and taxis, where matching times follow an exponential distribution. We assume that passengers are strategic and decide to join the queue only if their expected utility ...
- research-articleDecember 2022
On the Gittins index for multistage jobs
Queueing Systems: Theory and Applications (QSYS), Volume 102, Issue 3-4Dec 2022, Pages 353–371https://doi.org/10.1007/s11134-022-09760-zAbstractOptimal scheduling in single-server queueing systems is a classic problem in queueing theory. The Gittins index policy is known to be the optimal nonanticipating policy minimizing the mean delay in the M/G/1 queue. While the Gittins index is ...
- research-articleDecember 2022
On the Whittle index of Markov modulated restless bandits
Queueing Systems: Theory and Applications (QSYS), Volume 102, Issue 3-4Dec 2022, Pages 373–430https://doi.org/10.1007/s11134-022-09737-yAbstractIn this paper, we study a Multi-Armed Restless Bandit Problem (MARBP) subject to time fluctuations. This model has numerous applications in practice, like in cloud computing systems or in wireless communications networks. Each bandit is formed by ...
- research-articleNovember 2022
Applications of fluid models in service operations management
Queueing Systems: Theory and Applications (QSYS), Volume 103, Issue 1-2Feb 2023, Pages 161–185https://doi.org/10.1007/s11134-022-09868-2AbstractThe service sector is an indisputable and fundamental pillar of today’s business world, encompassing nearly 80 percent of the workforce in the USA. Service operations management has been a fertile research area addressing strategic, tactical and ...
- research-articleOctober 2022
- research-articleOctober 2022
- research-articleOctober 2022
Queueing and risk models with dependencies
Queueing Systems: Theory and Applications (QSYS), Volume 102, Issue 1-2Oct 2022, Pages 69–86https://doi.org/10.1007/s11134-022-09863-7AbstractThis paper analyzes various stochastic recursions that arise in queueing and insurance risk models with a ‘semi-linear’ dependence structure. For example, an interarrival time depends on the workload, or the capital, immediately after the previous ...
- research-articleOctober 2022
- research-articleOctober 2022