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oai:recercat.cat:10230/7612025-12-19T01:44:20Zcom_2072_6col_2072_452953

Assessing an intuitive condition for stability under a range of traffic conditions via a generalised Lu-Kumar network Glazebrook, Kevin Niño-Mora, José Universitat Pompeu Fabra. Departament d'Economia i Empresa multiclass queueing networks stability fluid model lu-kumar network Operations Management We argue the importance both of developing simple sufficient conditions for the stability of general multiclass queueing networks and also of assessing such conditions under a range of assumptions on the weight of the traffic flowing between service stations. To achieve the former, we review a peak-rate stability condition and extend its range of application and for the latter, we introduce a generalisation of the Lu-Kumar network on which the stability condition may be tested for a range of traffic configurations. The peak-rate condition is close to exact when the between-station traffic is light, but degrades as this traffic increases. 2017-07-26T12:07:49Z 2017-07-26T12:07:49Z 1997-01-01 2017-07-23T02:04:59Z info:eu-repo/semantics/workingPaper https://econ-papers.upf.edu/ca/paper.php?id=429 Journal of Applied Probability, 37, 3, (2000), pp. 890-899 http://hdl.handle.net/10230/761 eng Economics and Business Working Papers Series; 429 L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess application/pdf application/pdf