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Solving the connected dominating set problem and power dominating set problem by integer programming

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Fan, Neng F.; Watson, Jean-Paul W.

In this paper, we propose several integer programming approaches with a polynomial number of constraints to formulate and solve the minimum connected dominating set problem. Further, we consider both the power dominating set problem - a special dominating set problem for sensor placement in power systems - and its connected version. We propose formulations and algorithms to solve these integer programs, and report results for several power system graphs. © 2012 Springer-Verlag.

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TYPE Conference YEAR 2012
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Formulating and analyzing multi-stage sensor placement problems

Water Distribution Systems Analysis 2010 - Proceedings of the 12th International Conference, WDSA 2010

Watson, Jean-Paul W.; Hart, William E.; Woodruff, David L.; Murray, Regan

The optimization of sensor placements is a key aspect of the design of contaminant warning systems for automatically detecting contaminants in water distribution systems. Although researchers have generally assumed that all sensors are placed at the same time, in practice sensor networks will likely grow and evolve over time. For example, limitations for a water utility's budget may dictate an staged, incremental deployment of sensors over many years. We describe optimization formulations of multi-stage sensor placement problems. The objective of these formulations includes an explicit trade-off between the value of the initially deployed and final sensor networks. This trade-off motivates the deployment of sensors in initial stages of the deployment schedule, even though these choices typically lead to a solution that is suboptimal when compared to placing all sensors at once. These multi-stage sensor placement problems can be represented as mixed-integer programs, and we illustrate the impact of this trade-off using standard commercial solvers. We also describe a multi-stage formulation that models budget uncertainty, expressed as a tree of potential budget scenarios through time. Budget uncertainty is used to assess and hedge against risks due to a potentially incomplete deployment of a planned sensor network. This formulation is a multi-stage stochastic mixed-integer program, which are notoriously difficult to solve. We apply standard commercial solvers to small-scale test problems, enabling us to effectively analyze multi-stage sensor placement problems subject to budget uncertainties, and assess the impact of accounting for such uncertainty relative to a deterministic multi-stage model. © 2012 ASCE.

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TYPE Conference YEAR 2012
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Optimization of large-scale heterogeneous system-of-systems models

Gray, Genetha A.; Hart, William E.; Hough, Patricia D.; Parekh, Ojas D.; Phillips, Cynthia A.; Siirola, John D.; Swiler, Laura P.; Watson, Jean-Paul W.

Decision makers increasingly rely on large-scale computational models to simulate and analyze complex man-made systems. For example, computational models of national infrastructures are being used to inform government policy, assess economic and national security risks, evaluate infrastructure interdependencies, and plan for the growth and evolution of infrastructure capabilities. A major challenge for decision makers is the analysis of national-scale models that are composed of interacting systems: effective integration of system models is difficult, there are many parameters to analyze in these systems, and fundamental modeling uncertainties complicate analysis. This project is developing optimization methods to effectively represent and analyze large-scale heterogeneous system of systems (HSoS) models, which have emerged as a promising approach for describing such complex man-made systems. These optimization methods enable decision makers to predict future system behavior, manage system risk, assess tradeoffs between system criteria, and identify critical modeling uncertainties.

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TYPE SAND Report YEAR 2012
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Results 126–150 of 197
Results 126–150 of 197