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We consider a service system with an infinite number of exponential servers sharing a finite service capacity. The servers are ordered according to their speed, and arriving customers join the fastest idle server. A capacity allocation is…

Probability · Mathematics 2018-08-23 Refael Hassin , Liron Ravner

Queue length monitoring is a commonly arising problem in numerous applications such as queue management systems, scheduling, and traffic monitoring. Motivated by such applications, we formulate a queue monitoring problem, where there is a…

Data Structures and Algorithms · Computer Science 2025-04-28 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

We consider an extension of the classical machine-repair model, where we assume that the machines, apart from receiving service from the repairman, also serve queues of products. The extended model can be viewed as a layered queueing…

Probability · Mathematics 2014-12-24 J. L. Dorsman , O. J. Boxma , M. Vlasiou

The efficiency of current cargo screening processes at sea and air ports is unknown as no benchmarks exists against which they could be measured. Some manufacturer benchmarks exist for individual sensors but we have not found any benchmarks…

Artificial Intelligence · Computer Science 2013-05-31 Peer-Olaf Siebers , Uwe Aickelin , David Menachof , Galina Sherman , Peter Zimmerman

A common workflow for many engineering design problems requires the evaluation of the design system to be investigated under a range of conditions. These conditions usually involve a combination of several parameters. To perform a complete…

Computational Engineering, Finance, and Science · Computer Science 2020-09-18 J. H. Gaspar Elsas , N. A. G. Casaprima , I. F. M. Menezes

Modeling processes are the activities of capturing and representing processes and control of their dynamic behavior. Desired features of the model include capture of relevant aspects of a real phenomenon, understandability, and completeness…

Software Engineering · Computer Science 2017-07-28 Sabah Al-Fedaghi , Haya Alahmad

A model of computer system security operation is developed based on the fork-join queueing network formalism. We introduce a security operation performance measure, and show how it may be used to performance evaluation of actual systems.

Cryptography and Security · Computer Science 2024-06-11 D. Guster , N. K. Krivulin

We consider the queuing networks, which are made from servers, exchanging their positions. The customers, using the network, try to reach their destinations, which is complicated by the movements of the servers, taking their customers with…

Probability · Mathematics 2013-11-18 François Baccelli , Alexandre Rybko , Senya Shlosman

The blocking problem naturally arises in transportation systems as multiple vehicles with different itineraries share available resources. In this paper, we investigate the impact of the blocking problem to the waiting time at the…

Systems and Control · Computer Science 2016-01-21 Shanyu Zhou , Hulya Seferoglu

Queueing networks are systems of theoretical interest that find widespread use in the performance evaluation of interconnected resources. In comparison to counterpart models in genetics or mathematical biology, the stochastic (jump)…

Methodology · Statistics 2019-06-28 Iker Perez , Giuliano Casale

In this paper we consider a single-server cyclic polling system consisting of two queues. Between visits to successive queues, the server is delayed by a random switch-over time. Two types of customers arrive at the first queue: high and…

Probability · Mathematics 2014-08-04 Marko Boon , Ivo Adan , Onno Boxma

To leverage prediction models to make optimal scheduling decisions in service systems, we must understand how predictive errors impact congestion due to externalities on the delay of other jobs. Motivated by applications where prediction…

Optimization and Control · Mathematics 2026-01-06 Jiung Lee , Hongseok Namkoong , Yibo Zeng

These days enterprise applications try to integrate online processing and batch jobs into a common software stack for seamless monitoring and driverless operations. Continuous integration of these systems results in choking of the poorly…

Performance · Computer Science 2015-12-16 Subrata Ashe

The problem of exact evaluation of the mean service cycle time in tandem systems of single-server queues with both infinite and finite buffers is considered. It is assumed that the interarrival and service times of customers form sequences…

Optimization and Control · Mathematics 2012-12-24 N. K. Krivulin , V. B. Nevzorov

Stochastic network calculus is a newly developed theory for stochastic service guarantee analysis of computer networks. In the current stochastic network calculus literature, its fundamental models are based on the cumulative amount of…

Performance · Computer Science 2011-12-14 Jing Xie , Yuming Jiang , Min Xie

The rise of e-hailing taxis has significantly altered urban transportation and resulted in a competitive taxi market with both traditional street-hailing and e-hailing taxis. The new mobility services provide similar door-to-door rides as…

Applications · Statistics 2018-12-06 Wenbo Zhang , Harsha Honnappa , Satish V. Ukkusuri

We consider a service system where agents (or, servers) are invited on-demand. Customers arrive as a Poisson process and join a customer queue. Customer service times are i.i.d. exponential. Agents' behavior is random in two respects.…

Probability · Mathematics 2016-09-09 Lam Nguyen , Alexander Stolyar

The investigation of the coupled atmosphere-ocean system is not only scientifically challenging but also practically important. We consider a coupled atmosphere-ocean model, which involves hydrodynamics, thermodynamics, and random…

Dynamical Systems · Mathematics 2007-05-23 J. Duan , H. Gao , B. Schmalfuss

In this paper, we develop a more general framework of block-structured Markov processes in the queueing study of blockchain systems, which can provide analysis both for the stationary performance measures and for the sojourn times of any…

Cryptography and Security · Computer Science 2019-04-09 Quan-Lin Li , Jing-Yu Ma , Yan-Xia Chang , Fan-Qi Ma , Hai-Bo Yu

Waiting times in a business process often arise when a case transitions from one activity to another. Accordingly, analyzing the causes of waiting times of activity transitions can help analysts to identify opportunities for reducing the…

Databases · Computer Science 2022-12-06 Katsiaryna Lashkevich , Fredrik Milani , David Chapela-Campa , Ihar Suvorau , Marlon Dumas