<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In the past few years several applications of optimal experimental designs have emerged to optimize the measurements in communication networks. The optimal design problems arising from this kind of applications share three interesting properties: (i) measurements are only available at a small number of locations of the network; (ii) each monitor can simultaneously measure several quantities, which can be modeled by “multiresponse experiments”; (iii) the observation matrices depend on the topology of the network. We give an overview of these experimental design problems and recall recent results for the computation of optimal designs by Second Order Cone Programming (SOCP). New results for the network-monitoring of a discrete time process are presented. In particular, we show that the optimal design problem for the monitoring of an AR1 process can be reduced to the standard form and we give experimental results.</p></abstract>

In the past few years several applications of optimal experimental designs have emerged to optimize the measurements in communication networks. The optimal design problems arising from this kind of applications share three interesting properties: (i) measurements are only available at a small number of locations of the network; (ii) each monitor can simultaneously measure several quantities, which can be modeled by “multiresponse experiments”; (iii) the observation matrices depend on the topology of the network. We give an overview of these experimental design problems and recall recent results for the computation of optimal designs by Second Order Cone Programming (SOCP). New results for the network-monitoring of a discrete time process are presented. In particular, we show that the optimal design problem for the monitoring of an AR1 process can be reduced to the standard form and we give experimental results.

Network-related problems in optimal experimental design and second order cone programming

Zuse Institut Berlin Takustr. 7 D–14195 Berlin GERMANY

Tatra Mountains Mathematical Publications

In the past few years several applications of optimal experimental designs have emerged to optimize the measurements in communication networks. The optimal...

Network-related problems in optimal experimental design and second order cone programming

Published Online: Nov 13, 2012

Page range: 161 - 171

DOI: https://doi.org/10.2478/v10127-012-0016-x

Keywords
optimal design, network monitoring, AR1 process, Second Order Cone Programming.

This content is open access.

Network-related problems in optimal experimental design and second order cone programming

Published Online: Nov 13, 2012

Page range: 161 - 171

DOI: https://doi.org/10.2478/v10127-012-0016-x

Keywordsoptimal design, network monitoring, AR1 process, Second Order Cone Programming.

This content is open access.

Keywords
optimal design, network monitoring, AR1 process, Second Order Cone Programming.