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This paper presents a queueing network approach to the analysis and control of mobility-on-demand (MoD) systems for urban personal transportation. A MoD system consists of a fleet of vehicles providing one-way car sharing service and a team…

Performance · Computer Science 2014-09-30 Rick Zhang , Marco Pavone

The bike sharing systems are fast increasing as a public transport mode in urban short trips, and have been developed in many major cities around the world. A major challenge in the study of bike sharing systems is that large-scale and…

Probability · Mathematics 2016-12-05 Quan-Lin Li , Chang Chen , Rui-Na Fan , Liang Xu , Jing-Yu Ma

We consider a dynamic system with multiple types of customers and servers. Each type of waiting customer or server joins a separate queue, forming a bipartite graph with customer-side queues and server-side queues. The platform can match…

Optimization and Control · Mathematics 2024-11-19 Zixian Yang , Lei Ying

We consider a tandem queue with coupled processors, which is subject to global breakdowns. When the network is in the operating mode and both queues are non empty, the total service capacity is shared among the stations according to fixed…

Probability · Mathematics 2019-03-08 Ioannis Dimitriou

In this thesis, we study the queueing systems with heterogeneous servers and service rate uncertainty under the Halfin-Whitt heavy traffic regime. First, we analyse many server queues with abandonments when service rates are i.i.d. random…

Probability · Mathematics 2018-12-04 Wenyi Qin

In this paper we consider a single-server cyclic polling system consisting of two queues. Between visits to successive queues, the server is delayed by a random switch-over time. Two types of customers arrive at the first queue: high and…

Probability · Mathematics 2014-08-04 Marko Boon , Ivo Adan , Onno Boxma

Max-algebra models of tandem single-server queueing systems with both finite and infinite buffers are developed. The dynamics of each system is described by a linear vector state equation similar to those in the conventional linear systems…

Numerical Analysis · Mathematics 2012-11-27 N. K. Krivulin

Inspired by quantum switches, we consider a discrete-time multi-way matching system with two classes of arrivals: requests for entangled pair of qubits between two nodes, and qubits from each node that can be used to serve the requests. An…

Performance · Computer Science 2023-10-05 Martin Zubeldia , Prakirt R. Jhunjhunwala , Siva Theja Maguluri

The discrete time queueing system is highly applicable to modern telecommunication systems, where it provides adaptive packet handling, congestion controlled security/inspection, energy efficient operation, and supports bursty traffic…

Information Theory · Computer Science 2026-02-27 Ashish Verma , Sourav Pradhan

Queueing networks are systems of theoretical interest that find widespread use in the performance evaluation of interconnected resources. In comparison to counterpart models in genetics or mathematical biology, the stochastic (jump)…

Methodology · Statistics 2019-06-28 Iker Perez , Giuliano Casale

We analyse a non-cooperative strategic game among two ride-hailing platforms, each of which is modeled as a two-sided queueing system, where drivers (with a certain patience level) are assumed to arrive according to a Poisson process at a…

Optimization and Control · Mathematics 2022-08-04 Tushar Shankar Walunj , Shiksha Singhal , Veeraruna Kavitha , Jayakrishnan Nair

Demand for studying queueing systems with multiple servers providing correlated services was created about 60 years ago, motivated by various applications. In recent years, the importance of such studies has been significantly increased,…

Probability · Mathematics 2026-04-16 Suman Thapa , Yiqiang Q. Zhao

Quasi-birth-and-death (QBD) processes with infinite ``phase spaces'' can exhibit unusual and interesting behavior. One of the simplest examples of such a process is the two-node tandem Jackson network, with the ``phase'' giving the state of…

Probability · Mathematics 2007-05-23 D. P. Kroese , W. R. W. Scheinhardt , P. G. Taylor

We present a new framework for designing nonpreemptive and job-size oblivious scheduling policies in the multiserver-job queueing model. The main requirement is to identify a static and balanced sub-partition of the server set and ensure…

Performance · Computer Science 2025-02-04 Jonatha Anselmi , Josu Doncel

The performance of non-preemptive M/M/1 queueing system with two priority is analyzed. By using complementary variable method to make vector Markov process and analyzing the state-change equations of the queueing system, the generating…

Optimization and Control · Mathematics 2009-02-13 Zhao Guo-xi , Hu Qi-Zhou

We consider a queueing system with $n$ parallel queues operating according to the so-called "supermarket model" in which arriving customers join the shortest of $d$ randomly selected queues. Assuming rate $n\lambda_{n}$ Poisson arrivals and…

Probability · Mathematics 2017-01-19 Patrick Eschenfeldt , David Gamarnik

The rise of e-hailing taxis has significantly altered urban transportation and resulted in a competitive taxi market with both traditional street-hailing and e-hailing taxis. The new mobility services provide similar door-to-door rides as…

Applications · Statistics 2018-12-06 Wenbo Zhang , Harsha Honnappa , Satish V. Ukkusuri

We consider one-way vehicle sharing systems where customers can rent a car at one station and drop it off at another. The problem we address is to optimize the distribution of cars, and quality of service, by pricing rentals appropriately.…

Artificial Intelligence · Computer Science 2015-10-21 Yinlam Chow , Jia Yuan Yu , Marco Pavone

We analyse a non-cooperative game between two competing ride-hailing platforms, each of which is modeled as a two-sided queueing system, where drivers (with a limited level of patience) are assumed to arrive according to a Poisson process…

Optimization and Control · Mathematics 2025-10-07 Tushar Shankar Walunj , Shiksha Singhal , Jayakrishnan Nair , Veeraruna Kavitha

We study the performance of non-adaptive scheduling policies in computing systems with multiple servers. Compute jobs are mostly regular, with modest service requirements. However, there are sporadic data intensive jobs, whose expected…

Performance · Computer Science 2020-01-01 Amir Behrouzi-Far , Emina Soljanin