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We consider the optimal appointment scheduling problem that incorporates patients' unpunctual behavior, where the unpunctuality is assumed to be time dependent, but additive. Our goal is to develop an optimal scheduling method for a large…

Optimization and Control · Mathematics 2024-12-30 Nikolai Lipscomb , Xin Liu , Vidyadhar G. Kulkarni

Motivated by the increasing use of online appointment booking platforms, we study how to offer appointment slots to customers in order to maximize the total number of slots booked. We develop two models, non-sequential offering and…

Optimization and Control · Mathematics 2017-12-25 Nan Liu , Peter M. van de Ven , Bo Zhang

We consider the problem of minimizing queue-length costs in a system with heterogenous parallel servers, operating in a many-server heavy-traffic regime with nondegenerate slowdown. This regime is distinct from the well-studied heavy…

Probability · Mathematics 2014-03-24 Rami Atar , Itai Gurvich

We study a single-server appointment scheduling problem with a fixed sequence of appointments, for which we must determine the arrival time for each appointment. We specifically examine two stochastic models. In the first model, we assume…

Optimization and Control · Mathematics 2019-07-09 Ruiwei Jiang , Minseok Ryu , Guanglin Xu

Diagnostic clinics are among healthcare facilities that suffer from long waiting times which can cause medical issues and lead to increases in patient no-shows. Reducing waiting times without significant capital investments is a challenging…

Optimization and Control · Mathematics 2020-04-20 Mahsa Kiani , Burak Eksioglu , Tugce Isik , Alexandria Thomas , John Gilpin

We study a routing and appointment scheduling problem with uncertain service and travel times arising from home service practice. Specifically, given a set of customers within a service region that an operator needs to serve, we seek to…

Optimization and Control · Mathematics 2021-11-23 Man Yiu , Tsang , Karmel S. Shehadeh

Increasing the efficiency and effectiveness of the healthcare system is a challenge faced worldwide. Many outpatient clinics have implemented two-stage service systems, with both a physician and physician assistant, to enhance capacity and…

Optimization and Control · Mathematics 2025-11-11 Pelin Keşrit , Chelliah Sriskandarajah , Jon M. Stauffer

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

This paper analyzes a service system modeled as a single-server queue, in which the service provider aims to dynamically maximize the expected revenue per unit of time. This is achieved by constructing a stochastic gradient descent…

Optimization and Control · Mathematics 2026-03-05 Shreehari Anand Bodas , Harsha Honnappa , Michel Mandjes , 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

A fundamental challenge in large-scale cloud networks and data centers is to achieve highly efficient server utilization and limit energy consumption, while providing excellent user-perceived performance in the presence of uncertain and…

Probability · Mathematics 2017-06-23 Debankur Mukherjee , Souvik Dhara , Sem Borst , Johan S. H. van Leeuwaarden

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

Optimization and Control · Mathematics 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

A multiclass queueing system is considered, with heterogeneous service stations, each consisting of many servers with identical capabilities. An optimal control problem is formulated, where the control corresponds to scheduling and routing,…

Probability · Mathematics 2007-05-23 Rami Atar

This paper considers appointment scheduling in a setting in which at every client arrival the schedule of all future clients can be adapted. Starting our analysis with an explicit treatment of the case of exponentially distributed service…

Probability · Mathematics 2023-05-17 Roshan Mahes , Michel Mandjes , Marko Boon , Peter Taylor

In non-clairvoyant scheduling, the goal is to minimize the total job completion time without prior knowledge of individual job processing times. This classical online optimization problem has recently gained attention through the framework…

Data Structures and Algorithms · Computer Science 2025-09-25 Ziyad Benomar , Romain Cosson , Alexander Lindermayr , Jens Schlöter

Appointment scheduling problems under uncertainty encounter a fundamental trade-off between cost minimization and customer waiting times. Most existing studies address this trade-off using a weighted sum approach, which puts little emphasis…

General Economics · Economics 2026-01-06 Carolin Bauerhenne , Rainer Kolisch , Andreas S. Schulz

We investigate the scheduling of a common resource between several concurrent users when the feasible transmission rate of each user varies randomly over time. Time is slotted and users arrive and depart upon service completion. This may…

Performance · Computer Science 2015-03-18 U. Ayesta , M. Erausquin , M. Jonckheere , I. M. Verloop

We study web and mobile applications that are used to schedule advance service, from medical appointments to restaurant reservations. We model them as online weighted bipartite matching problems with non-stationary arrivals. We propose new…

Optimization and Control · Mathematics 2018-05-29 Xinshang Wang , Van-Anh Truong , David Bank

In this research a continuous model for resource allocations in a queuing system is considered and a local prediction on the system behavior is developed. As a result we obtain a set of possible cases, some of which lead to quite clear…

Optimization and Control · Mathematics 2022-09-13 Tikhon Bogachev

This paper studies a diffusion model that arises as the limit of a queueing system scheduling problem in the asymptotic heavy traffic regime of Halfin and Whitt. The queueing system consists of several customer classes and many servers…

Probability · Mathematics 2007-05-23 Rami Atar
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