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We analyze an M/M/1 queue with a service discipline in which customers, upon arriving when the server is busy, search a sequence of stations for a vacant station at which to wait, and in which the server, upon becoming free when one or more…

Probability · Mathematics 2011-08-29 Patrick Eschenfeldt , Ben Gross , Nicholas Pippenger

In many-server systems it is crucial to staff the right number of servers so that targeted service levels are met. These staffing problems typically lead to constraint satisfaction problems that are hard to solve. During the last decade, a…

Probability · Mathematics 2014-01-30 A. J. E. M. Janssen , Johan S. H. van Leeuwaarden

Program verification is a resource-hungry task. This paper looks at the problem of parallelizing SMT-based automated program verification, specifically bounded model-checking, so that it can be distributed and executed on a cluster of…

Programming Languages · Computer Science 2020-05-19 Prantik Chatterjee , Subhajit Roy , Bui Phi Diep , Akash Lal

Formal methods have been employed for requirements verification for a long time. However, it is difficult to automatically derive properties from natural language requirements. SpecVerify addresses this challenge by integrating large…

Software Engineering · Computer Science 2025-07-08 Weiqi Wang , Marie Farrell , Lucas C. Cordeiro , Liping Zhao

This work considers a many-server queueing system in which customers with i.i.d., generally distributed service times enter service in the order of arrival. The dynamics of the system is represented in terms of a process that describes the…

Probability · Mathematics 2007-08-08 Haya Kaspi , Kavita Ramanan

With the growing adoption of Software Defined Networking (SDN) and Network Function Virtualization (NFV), large-scale NFV infrastructure deployments are gaining momentum. Such infrastructures are home to thousands of network Service…

Networking and Internet Architecture · Computer Science 2018-10-17 Saifeddine Aidi , Mohamed Faten Zhani , Yehia Elkhatib

Consumers seeking a new mobile plan have many choices in the present mobile landscape. The Mobile Virtual Network Operator (MVNO) has recently gained considerable attention among these options. MVNOs offer various benefits, making them an…

Cryptography and Security · Computer Science 2024-09-10 Rabiah Alnashwan , Yang Yang , Yilu Dong , Prosanta Gope , Behzad Abdolmaleki , Syed Rafiul Hussain

The problem of Oblivious RAM (ORAM) has traditionally been studied in a single-server setting, but more recently the multi-server setting has also been considered. Yet it is still unclear whether the multi-server setting has any inherent…

Cryptography and Security · Computer Science 2018-09-05 T-H. Hubert Chan , Jonathan Katz , Kartik Nayak , Antigoni Polychroniadou , Elaine Shi

We discuss the topic of unsatisfiability proofs in SMT, particularly with reference to quantifier free non-linear real arithmetic. We outline how the methods here do not admit trivial proofs and how past formalisation attempts are not…

Logic in Computer Science · Computer Science 2021-08-12 Erika Abraham , James H. Davenport , Matthew England , Gereon Kremer

Modelling software product line (SPL) features plays a crucial role to a successful development of SPL. Feature diagram is one of the widely used notations to model SPL variants. However, there is a lack of precisely defined formal…

Software Engineering · Computer Science 2013-10-02 Shamim Ripon , Sk. Jahir Hossain , Touhid Bhuiyan

The exploitation of certification tools by end users represents a fundamental aspect of the development of quantum technologies as the hardware scales up beyond the regime of classical simulatability. Certifying quantum networks becomes…

The integration of Formal Verification tools with Large Language Models (LLMs) offers a path to scale software verification beyond manual workflows. However, current methods remain unreliable: without a solid theoretical footing, the…

Artificial Intelligence · Computer Science 2025-12-18 PIerre Dantas , Lucas Cordeiro , Youcheng Sun , Waldir Junior

Bounded model checking (BMC) is vital for finding program property violations. For unsafe programs, BMC can quickly find an execution path from an initial state to the violated state that refutes a given safety property. However, BMC…

Software Engineering · Computer Science 2022-09-22 Mohannad Aldughaim , Kaled Alshmrany , Rafael Menezes , Lucas Cordeiro , Alexandru Stancu

This paper addresses the quantitative verification of finite-time constrained occupation time for stochastic continuous-time systems governed by stochastic differential equations (SDEs). Unlike classical reachability analysis, which focuses…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Bai Xue , C. -H. Luke Ong

Data-centric dynamic systems are systems where both the process controlling the dynamics and the manipulation of data are equally central. In this paper we study verification of (first-order) mu-calculus variants over relational…

Databases · Computer Science 2012-03-02 Babak Bagheri Hariri , Diego Calvanese , Giuseppe De Giacomo , Alin Deutsch , Marco Montali

Ensuring that autonomous space robot control software behaves as it should is crucial, particularly as software failure in space often equates to mission failure and could potentially endanger nearby astronauts and costly equipment. To…

We consider Markovian many-server systems with admission control operating in a QED regime, where the relative utilization approaches unity while the number of servers grows large, providing natural Economies-of-Scale. In order to determine…

Probability · Mathematics 2014-11-12 Jaron Sanders , S. C. Borst , A. J. E. M. Janssen , J. S. H. van Leeuwaarden

Networks are difficult to configure correctly, and tricky to debug. These problems are accentuated by temporal and stateful behavior. Static verification, while useful, is ineffectual for detecting behavioral deviations induced by hardware…

Networking and Internet Architecture · Computer Science 2016-07-18 Tim Nelson , Nicholas DeMarinis , Timothy Adam Hoff , Rodrigo Fonseca , Shriram Krishnamurthi

Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we know: Any property of finite structures, which is expressible by…

Databases · Computer Science 2008-09-19 Georg Gottlob , Reinhard Pichler , Fang Wei

We study networks of interacting queues governed by utility-maximising service-rate allocations in both discrete and continuous time. For {\em finite} networks we establish stability and some steady-state moment bounds under natural…

Probability · Mathematics 2019-08-21 Seva Shneer , Alexander Stolyar
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