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This paper studies the equilibrium behavior of customers in the Geo/Geo/1 queueing system with multiple working vacations. The arriving customers decide whether to join or to balk the queueing systems based on the information of the queue…

Probability · Mathematics 2014-04-29 Yang Bixuan , Hou Zhenting , Wu Jinbiao , Liu Zaiming

We study the scheduling polices for asymptotically optimal delay in queueing systems with switching overhead. Such systems consist of a single server that serves multiple queues, and some capacity is lost whenever the server switches to…

Performance · Computer Science 2017-01-17 Ping-Chun Hsieh , I-Hong Hou , Xi Liu

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 study the impact of service-time distributions on the distribution of the maximum queue length during a busy period for the M^X/G/1 queue. The maximum queue length is an important random variable to understand when designing the buffer…

Probability · Mathematics 2007-05-23 Ger Koole , Misja Nuyens , Rhonda Righter

Scheduling is a critical part of practical computer systems, and scheduling has also been extensively studied from a theoretical perspective. Unfortunately, there is a gap between theory and practice, as the optimal scheduling policies…

Performance · Computer Science 2021-10-25 Ziv Scully , Mor Harchol-Balter

Disease management programs have emerged as a cost-effective approach to treat chronic diseases. Appointment adherence is critical to the success of such programs; missed appointment are costly, resulting in reduced resource utilization and…

Optimization and Control · Mathematics 2015-05-29 Martin Savelsbergh , Karen Smilowitz

Upper and lower class functions for the maximum likelihood estimator of the arrival and the service rates in a $GI/G/1$ queue are studied and the results are verified for M/M/1 queue.

Statistics Theory · Mathematics 2020-02-17 Sarat Kumar Acharya , Saroja Kumar Singh

Distributed computing systems implement redundancy to reduce the job completion time and variability. Despite a large body of work about computing redundancy, the analytical performance evaluation of redundancy techniques in queuing systems…

Information Theory · Computer Science 2022-01-05 Amir Behrouzi-Far , Emina Soljanin

In discrete time, customers arrive at random. Each waits until one of two servers is available; each thereafter departs at random. We seek the distribution of maximum line length of idle customers. In the context of an emergency room (for…

History and Overview · Mathematics 2019-02-26 Steven Finch

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

Multi-user multi-input-multi-output (MU-MIMO) systems transmit data to multiple users simultaneously using the spatial degrees of freedom with user feedback channel state information (CSI). Most of the existing literatures on the reduced…

Systems and Control · Computer Science 2013-11-20 Junting Chen , Vincent K. N. Lau

Modern applications increasingly rely on inference serving systems to provide low-latency insights with a diverse set of machine learning models. Existing systems often utilize resource elasticity to scale with demand. However, many…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Joel Wolfrath , Daniel Frink , Abhishek Chandra

This paper presents an extension of Naor's analysis on the join-or-balk problem in observable M/M/1 queues. While all other Markovian assumptions still hold, we explore this problem assuming uncertain arrival rates under the…

Optimization and Control · Mathematics 2022-04-08 Yijie Wang , Madhushini Narayana Prasad , Grani A. Hanasusanto , John J. Hasenbein

In a facility with front room and back room operations, it is useful to switch workers between the rooms in order to cope with changing customer demand. Assuming stochastic customer arrival and service times, we seek a policy for switching…

Artificial Intelligence · Computer Science 2011-11-02 Daria Terekhov , J. Christopher Beck

This study is concerned with the determination of optimal appointment times for a sequence of jobs with uncertain duration. We investigate the data-driven Appointment Scheduling Problem (ASP) when one has $n$ observations of $p$ features…

Optimization and Control · Mathematics 2021-08-13 Nima Salehi Sadghiani , Saeid Motiian

Motivated by the increasing popularity of learning and predicting human user behavior in communication and computing systems, in this paper, we investigate the fundamental benefit of predictive scheduling, i.e., predicting and pre-serving…

Optimization and Control · Mathematics 2013-09-05 Longbo Huang , Shaoquan Zhang , Minghua Chen , Xin Liu

A special customer must complete service from two servers in series, in either order, each with an M/M/1 queueing system. It is assumed that the two queueing system lengths are independent with initial numbers of customers a and b at the…

Probability · Mathematics 2011-08-05 Samantha Molinaro , Myron Hlynka , Shan Xu

In traditional priority queues, we assume that every customer upon arrival has a fixed, class-dependent priority, and that a customer may not commence service if a customer with a higher priority is present in the queue. However, in…

We introduce a novel single-server queue with general retrial times and event-dependent arrivals. This is a versatile model for the study of service systems, in which the server needs a non-negligible time to retrieve waiting customers upon…

Probability · Mathematics 2022-03-08 Ioannis Dimitriou

In this paper we consider two problems regarding the scheduling of available personnel in order to perform a given quantity of work, which can be arbitrarily decomposed into a sequence of activities. We are interested in schedules which…

Data Structures and Algorithms · Computer Science 2013-01-22 Mugurel Ionut Andreica , Romulus Andreica , Angela Andreica