Bibliography on G-networks, negative customers and applications

Abstract

The idea of G-networks with negative arrivals, as well as of the relevant product form solution including non-linear traffic equations, was first published by Erol Gelenbe in 1989. In contrast to classical queues and queueing networks, the arrivals of negative customers which remove customers from a non-empty queue upon their arrival are possible in G-networks. Negative customers with appropriate killing discipline can be used to model breakdowns and to model packet losses, etc., while triggered customer movement can represent control processes in networks. This work presents a bibliography 1 1 Similar bibliographies on retrial queues can be found in [J.R. Artalejo, A classified bibliography of research on retrial queues: progress in 1990–1999. Top 7 (1999) 187–211; J.R. Artalejo, Accessible bibliography on retrial queues, Mathematical and Computer Modelling 30 (34) (1999) 1–6; A. Gomez-Corral, A bibliographical guide to the analysis of retrial queues through matrix analytic techniques, Annals of Operations Research 141 (2006) 163–191; J.R. Artalejo, Accessible bibliography on retrial queues: progress in 2000–2009, Mathematical and Computer Modelling 51 (9–10) (2010) 1071–1081]. on G-networks, negative customers and the use of G-networks, negative customers and triggers to various performance analysis problems. We hope that we can include a majority of publications on G-networks. This bibliography in the BibTex format and a grouping by various themes is available online from http://www.hit.bme.hu/~do/G-networks/. We would encourage readers and researchers to send information to the author in order to make this bibliography as complete as possible.