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Simultaneous routing and flow rate optimization in energy-aware computer networks

Przemysław JaskółaPiotr ArabasAndrzej Karbowski — 2016

International Journal of Applied Mathematics and Computer Science

The issue of energy-aware traffic engineering has become prominent in telecommunications industry in the last years. This paper presents a two-criteria network optimization problem, in which routing and bandwidth allocation are determined jointly, so as to minimize the amount of energy consumed by a telecommunication infrastructure and to satisfy given demands represented by a traffic matrix. A scalarization of the criteria is proposed and the choice of model parameters is discussed in detail. The...

Object library of algorithms for dynamic optimization problems: benchmarking SQP and nonlinear interior point methods

Jacek BłaszczykAndrzej KarbowskiKrzysztof Malinowski — 2007

International Journal of Applied Mathematics and Computer Science

The main purpose of this paper is to describe the design, implementation and possibilities of our object-oriented library of algorithms for dynamic optimization problems. We briefly present library classes for the formulation and manipulation of dynamic optimization problems, and give a general survey of solver classes for unconstrained and constrained optimization. We also demonstrate methods of derivative evaluation that we used, in particular automatic differentiation. Further, we briefly formulate...

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