21 citations · 99 across the 38 of their papers we have counts for
8 papers · 1 filter
Matched Queues with Matching Batch Pair (m, n)
Heng-Li Liu, Quan-Lin Li, Chi Zhang
In this paper, we discuss an interesting but challenging bilateral stochastically matching problem: A more general matched queue with matching batch pair (m, n) and two types (i.e.…
Double-End Queues with Non-Poisson Inputs and Their Effective Algorithms
Heng-Li Liu, Quan-Lin Li, Yan-Xia Chang +1
It is interesting and challenging to study double-ended queues with First-Come-First-Match discipline under customers' impatient behavior and non-Poisson inputs. The system stabili…
A Nonlinear Solution to Closed Queueing Networks for Bike Sharing Systems with Markovian Arrival Processes and under an Irreducible Path Graph
Quan-Lin Li, Rui-Na Fan, Zhi-Yong Qian
As a favorite urban public transport mode, the bike sharing system is a large-scale and complicated system, and there exists a key requirement that a user and a bike should be matc…
Fluid and Diffusion Limits for Bike Sharing Systems
Quan-Lin Li, Zhi-Yong Qian, Rui-Na Fan
Bike sharing systems have rapidly developed around the world, and they are served as a promising strategy to improve urban traffic congestion and to decrease polluting gas emission…
A Mean-Field Matrix-Analytic Method for Bike Sharing Systems under Markovian Environment
Quan-Lin Li, Rui-Na Fan
To reduce automobile exhaust pollution, traffic congestion and parking difficulties, bike-sharing systems are rapidly developed in many countries and more than 500 major cities in…
Queueing Analysis of a Large-Scale Bike Sharing System through Mean-Field Theory
Quan-Lin Li, Chang Chen, Rui-Na Fan +2
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 th…
A Computational Framework for the Mixing Times in the QBD Processes with Infinitely-Many Levels
Quan-Lin Li, Jing Cao
In this paper, we develop some matrix Poisson's equations satisfied by the mean and variance of the mixing time in an irreducible positive-recurrent discrete-time Markov chain with…
Tail Probabilities in Queueing Processes
Quan-Lin Li
In the study of large scale stochastic networks with resource management, differential equations and mean-field limits are two key techniques. Recent research shows that the expect…