Learning in the recurrent random neural network
Neural Computation
G-networks with multiple classes of negative and positive customers
Theoretical Computer Science
Random neural networks with multiple classes of signals
Neural Computation
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
G-networks with propagating resets via RCAT
ACM SIGMETRICS Performance Evaluation Review - Special issue on the fifth workshop on MAthematical performance Modeling and Analysis (MAMA 2003)
Automation and Remote Control
Compositional reversed Markov processes, with applications to G-networks
Performance Evaluation
A single-server G-queue in discrete-time with geometrical arrival and service process
Performance Evaluation
Automated product-forms with Meercat
SMCtools '06 Proceeding from the 2006 workshop on Tools for solving structured Markov chains
The impact of overload conditions on computer network reliability
Information Processing Letters
Dealing with software viruses: A biological paradigm
Information Security Tech. Report
Analysis and investigation of reliability model in computer networks
SEPADS'07 Proceedings of the 6th WSEAS International Conference on Software Engineering, Parallel and Distributed Systems
Multiclass G-Networks of Processor Sharing Queues with Resets
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
A stochastic inventory system with postponed demands
Performance Evaluation
Modelling Gene Regulatory Networks
Bio-Inspired Computing and Communication
Stochastic Automata Networks with Master/Slave Synchronization: Product Form and Tensor
ASMTA '09 Proceedings of the 16th International Conference on Analytical and Stochastic Modeling Techniques and Applications
Complex synchronizations in Markovian models: a tensor-based proof of product form
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
Performance Evaluation
Self-aware networks and quality of service
ICANN/ICONIP'03 Proceedings of the 2003 joint international conference on Artificial neural networks and neural information processing
SFM'07 Proceedings of the 7th international conference on Formal methods for performance evaluation
Delay-based cloud congestion control
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Networks of symmetric multi-class queues with signals changing classes
ASMTA'10 Proceedings of the 17th international conference on Analytical and stochastic modeling techniques and applications
An Interview with Erol Gelenbe
Ubiquity
Performance engineering with product-form models: efficient solutions and applications
Proceedings of the 2nd ACM/SPEC International Conference on Performance engineering
G-networks with synchronised arrivals
Performance Evaluation
An initiative for a classified bibliography on G-networks
Performance Evaluation
Monotone queuing networks and time parallel simulation
ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
Investigation of the reliability of multiserver computer networks
ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
ISCIS'05 Proceedings of the 20th international conference on Computer and Information Sciences
Erol gelenbe's career and contributions
ISCIS'05 Proceedings of the 20th international conference on Computer and Information Sciences
Bounding techniques for transient analysis of G-networks with catastrophes
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Performance engineering and stochastic modelling
EPEW'05/WS-FM'05 Proceedings of the 2005 international conference on European Performance Engineering, and Web Services and Formal Methods, international conference on Formal Techniques for Computer Systems and Business Processes
Markovian queueing network with complex synchronizations: Product form and tensor
Performance Evaluation
Energy packet networks: adaptive energy management for the cloud
Proceedings of the 2nd International Workshop on Cloud Computing Platforms
Multi-class network with phase type service time and group deletion signal
EPEW'11 Proceedings of the 8th European conference on Computer Performance Engineering
Energy packet networks: smart electricity storage to meet surges in demand
Proceedings of the 5th International ICST Conference on Simulation Tools and Techniques
Bibliography on G-networks, negative customers and applications
Mathematical and Computer Modelling: An International Journal
Analysis of stochastic Petri nets with signals
Performance Evaluation
Multiple class G-networks with restart
Proceedings of the 4th ACM/SPEC International Conference on Performance Engineering
Modeling and optimizing Random Walk content discovery protocol over mobile ad-hoc networks
Performance Evaluation
Modelling and analysis of gene regulatory networks based on the G-network
International Journal of Advanced Intelligence Paradigms
M/M/1 retrial queue with working vacations and negative customer arrivals
International Journal of Advanced Intelligence Paradigms
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Gelenbe networks (G-networks) are product form queuing networks which, in addition to ordinary customers, contain unusual entities such as "negative customers" which eliminate normal customers and "triggers" which move other customers from some queue to another. These models have generated much interest in the literature since the early 1990s. The present paper discusses a novel model for a reliable system composed of N unreliable systems, which can hinder or enhance each other's reliability. Each of the N systems also tests other systems at random; it is able to reset another system if it is itself in working condition and discovers that the other system has failed, so that the global reliability of the system is enhanced. This paper shows how an extension of G-networks that includes novel "reset" customers can be used to model this behavior. We then show that a general G-network model with resets has product form, and prove existence and uniqueness of its solution.