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In this work, we present the first asymptotically optimal oblivious priority queue, which matches the lower bound of Jacob, Larsen, and Nielsen (SODA'19). Our construction is conceptually simple, stat...
We consider the problem of optimal matching with queues in dynamic systems and investigate the value-of-information.In such systems, the operators match tasks and resources stored in queues, with the ...
Cutting down runway queues     Cutting down  runway queues       2016/2/22
Most frequent fliers are familiar with long lines at airports: at the check-in counter, the departure gate, and in boarding a booked flight.But even after passengers are buckled in, the waiting may co...
We consider the maximum waiting time among the first n customers in the GI/G/1 queue. We use strong approximations to prove, under regularity conditions, convergence of the normalized maximum wait to ...
We study the estimation of tail probabilities in a queue via a semi-parametric estimator based on the maximum value of the workload, observed over the sampled time interval. Logarithmic consistency an...
We discuss rare-event simulation methodology for computing tail probabilities for infinite-server queues. Our theoretical discussion also offers some new simulation insights into the change-of-measure...
We consider the problem of dynamic allocation of a single server with batch processing capability to a set of parallel queues. Jobs from different classes cannot be processed together in the same batc...
This paper studies many-server limits for multi-server queues that have a phase-type service time distribution and allow for customer abandonment. The first set of limit theorems is for critically lo...
This work considers a many-server queueing system in which impatient customers with i.i.d., generally distributed service times and i.i.d., generally distributed patience times enter service in the o...
In this paper we propose a composite Variational Inequality formulation for modeling multi-mode, multi-class stochastic dynamic user equilibrium problem in recurrent congestion networks with queues. T...
This paper considers an M/M/I queue with service breakdowns and customer discouragement. Each of the customers present in the system at the time of a breakdown may become discouraged and leave with...
In [12] it was proved that the process of waiting times for single server queues is asymptotically stationary if (1) a generic process X = (Xkk, 2 1) is asymptotically stationary, (2) X satisfies c...
The paper studies G/G/l queues with heavy-tailed probability distributions of the service times and/or the interarrival times. It relies on the fact that the heavy traffic limiting distribution of t...
Recently, a Heavy Traffic Invariance Principle was proposed by Szczotka and Woyczyliski to characterize the heavy traffic limiting distribution of normalized stationary waiting times of G/G/l queue...
This is an expository review paper illustrating the “martin- gale method” for proving many-server heavy-traffic stochastic-process limits for queueing models, supporting diffusion-process approximatio...

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