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Sorato, Annamaria and Viscolani, Bruno (1997) The maximum line length problem. [Journal papers (printed)]

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Abstract (english)

We consider a queueing system, which is constituted by a set
of M/M/1 (sub-)systems, sharing the same scarce resources,
but otherwise running independently. We analyse the nonlinear programming problem of minimizing the expectation of the maximum line length among the subsystems, with the service rates as the decision variables. Furthermore, we introduce three different nonlinear programming problems, which have natural interpretations with reference to the same queueing system and whose optimal solutions are useful to solve the original problem.


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EPrint type:Journal papers (printed)
Anno di Pubblicazione:1997
Key Words:Optimization, queues, nonlinear programming, resource allocation
Settori scientifico-disciplinari MIUR:Area 13 - Scienze economiche e statistiche > SECS-S/06 Metodi matematici dell'economia e delle scienze attuariali e finanziarie
Struttura di riferimento:Dipartimenti > Dipartimento di Matematica
Codice ID:82
Depositato il:03 May 2007
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