eprintid: 2614 rev_number: 6 eprint_status: archive userid: 6 dir: disk0/00/00/26/14 datestamp: 2015-02-23 09:38:59 lastmod: 2015-05-19 09:17:36 status_changed: 2015-02-23 09:38:59 type: article metadata_visibility: show creators_name: Cello, Marco creators_name: Gnecco, Giorgio creators_name: Marchese, Mario creators_name: Sanguineti, Marcello creators_id: creators_id: giorgio.gnecco@imtlucca.it creators_id: creators_id: title: Narrowing the Search for Optimal Call-Admission Policies Via a Nonlinear Stochastic Knapsack Model ispublished: pub subjects: QA75 divisions: CSA full_text_status: none keywords: Stochastic knapsack, Nonlinear constraints, Call admission control, Coordinate-convex policies, Structural properties note: Published online: 30 April 2014 abstract: Call admission control with two classes of users is investigated via a nonlinear stochastic knapsack model. The feasibility region represents the subset of the call space, where given constraints on the quality of service have to be satisfied. Admissible strategies are searched for within the class of coordinate-convex policies. Structural properties that the optimal policies belonging to such a class have to satisfy are derived. They are exploited to narrow the search for the optimal solution to the nonlinear stochastic knapsack problem that models call admission control. To illustrate the role played by these properties, the numbers of coordinate-convex policies by which they are satisfied are estimated. A graph-based algorithm to generate all such policies is presented. date: 2015-03 date_type: published publication: Journal of Optimization Theory and Applications volume: 164 number: 3 publisher: Springer-Verlag pagerange: 819-841 id_number: 10.1007/s10957-014-0570-2 refereed: TRUE issn: 0022-3239 official_url: http://link.springer.com/article/10.1007%2Fs10957-014-0570-2 citation: Cello, Marco and Gnecco, Giorgio and Marchese, Mario and Sanguineti, Marcello Narrowing the Search for Optimal Call-Admission Policies Via a Nonlinear Stochastic Knapsack Model. Journal of Optimization Theory and Applications, 164 (3). pp. 819-841. ISSN 0022-3239 (2015)