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This paper presents a new method for deriving the waiting time distribution of the lowest class in an accumulating priority (AP) queue with positive L\'evy input. The priority of a non-atomic customer (particle) is a function of their class…

Probability · Mathematics 2017-04-12 Offer Kella , Liron Ravner

We study a make-to-order system with a finite set of customers. Production is stochastic with a nonlinear dependence between the ordered quantity and the production rate. Customers may have to queue until their turn arrives, and therefore…

Optimization and Control · Mathematics 2025-07-29 Refael Hassin , Jiesen Wang

We investigate computational and mechanism design aspects of scarce resource allocation, where the primary rationing mechanism is through waiting times. Specifically we consider allocating medical treatments to a population of patients.…

Computer Science and Game Theory · Computer Science 2013-12-09 Mark Braverman , Jing Chen , Sampath Kannan

We consider the problem of staffing large-scale service systems with multiple customer classes and multiple dedicated server pools under joint quality-of-service (QoS) constraints. We first analyze the case in which arrival rates are…

Probability · Mathematics 2013-04-25 Jing Zan , John J. Hasenbein , David P. Morton

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

Probability · Mathematics 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

The focus of this paper is on the asymptotics of large-time numbers of customers in time-periodic Markovian many-server queues with customer abandonment in heavy traffic. Limit theorems are obtained for the periodic number-of-customers…

Probability · Mathematics 2014-06-03 Anatolii A. Puhalskii

Efficient use of call center operators through technological innovations more often come at the expense of added operation management issues. In this paper, the stationary characteristics of an $M/G/1$ retrial queue is investigated where…

Networking and Internet Architecture · Computer Science 2021-08-05 Muthukrishnan Senthil Kumar , Aresh Dadlani , Kiseon Kim

This paper examines a single-server queueing system that serves both scheduled and strategic walk-in customers. The service discipline follows a first-come, first-served policy, with scheduled customers granted non-preemptive priority. Each…

Probability · Mathematics 2025-02-28 Wathsala Karunarathne , Camiel Koopmans , Jiesen Wang

The Foreground-Background (FB) discipline, which gives service to the customer that has received the least amount of service, minimises the queue length for a certain class of heavy-tailed service times. In this paper we give an overview of…

Probability · Mathematics 2007-05-23 Misja Nuyens

Single-server queues with customer abandonment arise in call centers and many service systems, but steady-state performance measures remain analytically intractable beyond Markovian assumptions. This paper develops Robust Queueing (RQ)…

Probability · Mathematics 2026-03-03 Wei You

In the present paper the infinite-server MMAPkGk queueing model with random resource vector of customers, marked MAP arrival and semi-Markov (SM) arrival of catastrophes is considered. The joint generating functions (PGF) of transient and…

Performance · Computer Science 2018-05-25 K. Kerobyan , R. Covington , R. Kerobyan , K. Enakoutsa

Group elevator scheduling is an NP-hard sequential decision-making problem with unbounded state spaces and substantial uncertainty. Decision-theoretic reasoning plays a surprisingly limited role in fielded systems. A new opportunity for…

Artificial Intelligence · Computer Science 2012-12-12 Daniel N. Nikovski , Matthew Brand

The main target of this paper is to present the Markov chain C that, not giving explicitly the queue lengths stationary probabilities, has the necessary information to its determination for open networks of queues with several classes of…

Probability · Mathematics 2021-10-19 Manuel Alberto M. Ferreira

A many-server queueing system is considered in which customers arrive according to a renewal process and have service and patience times that are drawn from two independent sequences of independent, identically distributed random variables.…

Probability · Mathematics 2012-04-30 Weining Kang , Kavita Ramanan

In this paper we consider an M/G/1-type queue fed by a finite customer-pool. In terms of transforms, we characterize the time-dependent distribution of the number of customers and the workload, as well as the associated waiting times.

Probability · Mathematics 2025-02-25 Onno Boxma , Offer Kella , Michel Mandjes

We consider a distributed server system consisting of a large number of servers, each with limited capacity on multiple resources (CPU, memory, disk, etc.). Jobs with different rewards arrive over time and require certain amounts of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Konstantinos Psychas , Javad Ghaderi

We study a classical problem in revenue management: quantity-based single-resource revenue management with no-shows. In this problem, a firm observes a sequence of $T$ customers requesting a service. Each arrival is drawn independently from…

Optimization and Control · Mathematics 2022-04-27 Daniel Freund , Jiayu Kamessi Zhao

In marketing products with negative externalities, a schedule which specifies an order of consumer purchase decisions is crucial, since in the social network of consumers, the decision of each consumer is negatively affected by the choices…

Computer Science and Game Theory · Computer Science 2013-03-26 Zhigang Cao , Xujin Chen , Changjun Wang

I consider the optimal hourly (or per-unit-time in general) pricing problem faced by a freelance worker (or a service provider) on an on-demand service platform. Service requests arriving while the worker is busy are lost forever. Thus, the…

Computer Science and Game Theory · Computer Science 2019-07-09 Vijay Kamble

We consider a queueing system consisting of two non-identical exponential servers, where each server has its own dedicated queue and serves the customers in that queue FCFS. Customers arrive according to a Poisson process and join the queue…

Probability · Mathematics 2017-03-20 Jori Selen , Ivo J. B. F. Adan , Stella Kapodistria , Johan S. H. van Leeuwaarden
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