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Queuing systems with redundant requests have drawn great attention because of their promise to reduce the job completion time and variability. Despite a large body of work on the topic, we are still far from fully understanding the benefits…

Performance · Computer Science 2019-10-08 Amir Behrouzi-Far , Emina Soljanin

Utilizing customers' service-time information, we study an easy-to-implement scheduling policy with two priority classes. By carefully designing the classes, the two-class priority rule achieves near-optimal performance. In particular, for…

Optimization and Control · Mathematics 2021-05-24 Yan Chen , Jing Dong

In this paper, we study a queueing model that incorporates patient reentrance to reflect patients' recurring requests for nurse care and their rest periods between these requests. Within this framework, we address two levels of…

Optimization and Control · Mathematics 2024-06-19 Wei Liu , Mengshi Lu , Pengyi Shi

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

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

Performance modeling is a key issue in queuing theory and operation research. It is well-known that the length of a queue that awaits service or the time spent by a job in a queue depends not only on the service rate, but also crucially on…

Statistical Mechanics · Physics 2024-04-16 Reshmi Roy , Arup Biswas , Arnab Pal

We study flow shop scheduling with stochastic reentry, where jobs must complete multiple passes through the entire shop, and the number of passes that a job requires for completion is drawn from a discrete probability distribution. The goal…

Data Structures and Algorithms · Computer Science 2026-04-21 Maximilian von Aspern , Felix Buld , Michael Pinedo

We consider the stability of robust scheduling policies for multiclass queueing networks. These are open networks with arbitrary routing matrix and several disjoint groups of queues in which at most one queue can be served at a time. The…

Probability · Mathematics 2015-05-12 Ramtin Pedarsani , Jean Walrand

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

In this paper, we shed new light on a classical scheduling problem: given a slot-timed, constant-capacity server, what short-run scheduling decisions must be made to provide long-run service guarantees to competing flows of unit-sized…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Yike Xu , Mark S. Andersland

Runtime variability in computing systems causes some tasks to straggle and take much longer than expected to complete. These straggler tasks are known to significantly slowdown distributed computation. Job execution with speculative…

Performance · Computer Science 2019-06-14 Mehmet Fatih Aktas , Emina Soljanin

We study a multiclass M/M/1 queueing control problem with finite buffers under heavy-traffic where the decision maker is uncertain about the rates of arrivals and service of the system and by scheduling and admission/rejection decisions…

Probability · Mathematics 2019-03-19 Asaf Cohen

Polling systems have been widely studied, however most of these studies focus on polling systems with renewal processes for arrivals and random variables for service times. There is a need driven by practical applications to study polling…

Performance · Computer Science 2020-08-04 Jin Xu , Natarajan Gautam

Motivated by applications in online marketplaces such as ride-hailing platforms and payment channel networks, we study a single-server queue with state-dependent arrival control. The service operator dynamically chooses the arrival rate as…

Optimization and Control · Mathematics 2026-02-03 Tianze Qu , Sushil Mahavir Varma

Deep neural networks training jobs and other iterative computations frequently include checkpoints where jobs can be canceled based on the current value of monitored metrics. While most of existing results focus on the performance of all…

Performance · Computer Science 2022-09-30 Yuan Yao , Marco Paolieri , Leana Golubchik

Service systems often face task-server assignment-constraints due to skill-based routing or geographical conditions. Redundancy scheduling responds to this limited flexibility by replicating tasks to specific servers in agreement with these…

Probability · Mathematics 2022-08-17 Ellen Cardinaels , Sem Borst , Johan S. H. van Leeuwaarden

Service time fluctuations heavily affect the performance of queueing systems, causing long waiting times and backlogs. Recently, it was shown that when service times are solely determined by the server, service resetting can mitigate the…

Probability · Mathematics 2024-10-08 Ofek Lauber Bonomo , Uri Yechiali , Shlomi Reuveni

We study a control problem for queueing systems where customers may return for additional episodes of service after their initial service completion. At each service completion epoch, the decision maker can choose to reduce the probability…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Timothy C. Y. Chan , Simon Y. Huang , Vahid Sarhangian

CPU scheduling is the reason behind the performance of multiprocessing and in time-shared operating systems. Different scheduling criteria are used to evaluate Central Processing Unit Scheduling algorithms which are based on different…

Operating Systems · Computer Science 2022-05-17 Raghav Dalmia , Aryaman Sinha , Ruchi Verma , P. K. Gupta

What determines the average length of a queue which stretches in front of a service station? The answer to this question clearly depends on the average rate at which jobs arrive at the queue and on the average rate of service. Somewhat less…

Statistical Mechanics · Physics 2022-08-16 Ofek Lauber Bonomo , Arnab Pal , Shlomi Reuveni
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