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- Sunyoung Kim, Masakazu Kojima, Martin Mevissen, Makoto Yamashita
- Math. Program.
- 2011

A basic framework for exploiting sparsity via positive semidefinite matrix completion is presented for an optimization problem with linear and nonlinear matrix inequalities. The sparsity,â€¦ (More)

- Bissan Ghaddar, Jakub Marecek, Martin Mevissen
- IEEE Transactions on Power Systems
- 2016

Formulating the alternating current optimal power flow (ACOPF) as a polynomial optimization problem makes it possible to solve large instances in practice and to guarantee asymptotic convergence inâ€¦ (More)

This paper presents the formulation and solution of an optimization model for placing pressure reducing valves on water networks. A key advance is the development of a quadratic approximation forâ€¦ (More)

Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinearâ€¦ (More)

- M. Hinow, Martin Mevissen
- IEEE Transactions on Power Delivery
- 2011

The choice of the right maintenance strategy is an important but also difficult topic for every energy utility. The difficulty consists in the huge number of interacting cost parameters. The presentâ€¦ (More)

To solve a partial differential equation (PDE) numerically, we formulate it as a polynomial optimization problem (POP) by discretizing it via a finite difference approximation. The resulting POPâ€¦ (More)

- Jakub Marecek, Timothy McCoy, Martin Mevissen
- ArXiv
- 2014

This note studies properties of feasible and optimal solutions of the power flow problem in an alternating current model both in theory and experiments. There are numerous optimisation problemsâ€¦ (More)

- Martin Mevissen, Kosuke Yokoyama, Nobuki Takayama
- ISSAC
- 2009

We propose a general algorithm to approximately enumerate all solutions of a zero-dimensional polynomial system with respect to a given cost function. The algorithm is developed and is used to studyâ€¦ (More)

- Yassine Lassoued, Julien Monteil, Yingqi Gu, Giovanni Russo, Robert Shorten, Martin Mevissen
- 2017 IEEE 20th International Conference onâ€¦
- 2017

We present a simple model and algorithm for predicting driver destinations and routes, based on the input of the latest road links visited as part of an ongoing trip. The algorithm may be used toâ€¦ (More)

- Martin Mevissen, Masakazu Kojima
- APJOR
- 2010

Based on the convergent sequence of SDP relaxations for a multivariate polynomial optimization problem (POP) by Lasserre, Waki et al. constructed a sequence of sparse SDP relaxations to solve sparseâ€¦ (More)