TSSOS: A moment-SOS hierarchy that exploits term sparsity
This paper is concerned with polynomial optimization problems. We show how to exploit
term (or monomial) sparsity of the input polynomials to obtain a new converging hierarchy of …
term (or monomial) sparsity of the input polynomials to obtain a new converging hierarchy of …
Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension
This work is a follow-up and a complement to arXiv: 1912.08899 [math. OC] for solving
polynomial optimization problems (POPs). The chordal-TSSOS hierarchy that we propose is …
polynomial optimization problems (POPs). The chordal-TSSOS hierarchy that we propose is …
TSSOS: a moment-SOS hierarchy that exploits term sparsity
This paper is concerned with polynomial optimization problems. We show how to exploit
term (or monomial) sparsity of the input polynomials to obtain a new converging hierarchy of …
term (or monomial) sparsity of the input polynomials to obtain a new converging hierarchy of …
A new sparse SOS decomposition algorithm based on term sparsity
A new sparse SOS decomposition algorithm is proposed based on a new sparsity pattern,
called cross sparsity patterns. The new sparsity pattern focuses on the sparsity of terms and …
called cross sparsity patterns. The new sparsity pattern focuses on the sparsity of terms and …
Solving pooling problems with time discretization by LP and SOCP relaxations and rescheduling methods
M Kimizuka, S Kim, M Yamashita - Journal of Global Optimization, 2019 - Springer
The pooling problem is an important industrial problem in the class of network flow problems
for allocating gas flow in pipeline transportation networks. For the pooling problem with time …
for allocating gas flow in pipeline transportation networks. For the pooling problem with time …
[PDF][PDF] Exploiting sparsity in SOS programming and sparse polynomial optimization
In this paper, we consider a new pattern of sparsity for SOS Programming named by cross
sparsity patterns. We use matrix decompositions for a class of PSD matrices with chordal …
sparsity patterns. We use matrix decompositions for a class of PSD matrices with chordal …
Solving Pooling Problems by LP and SOCP Relaxations and Rescheduling Methods
M Kimizuka, S Kim, M Yamashita - arXiv preprint arXiv:1804.02857, 2018 - arxiv.org
The pooling problem is an important industrial problem in the class of network flow problems
for allocating gas flow in pipeline transportation networks. For P-formulation of the pooling …
for allocating gas flow in pipeline transportation networks. For P-formulation of the pooling …
Finance and Regulations
M Schmidt, F Lacalandra - … Optimization for Efficient and Robust Energy …, 2021 - Springer
Abstract The Entry–Exit System. The liberalization of the European gas markets started in
the 1990s and lead to the current situation in which European transmission system …
the 1990s and lead to the current situation in which European transmission system …
Production and Demand Management
C D'Ambrosio, F Lacalandra, J Lellep, K Vuik… - … Optimization for Efficient …, 2021 - Springer
This Chapter ranges through a wide variety of production and demand management
problems related to energy commodities systems. The Oil and Gas production enhancement …
problems related to energy commodities systems. The Oil and Gas production enhancement …
[PDF][PDF] The global optimization method of homotopy continuation for nonlinear optimization problems: analysis and application to pressurised pipe flow equations
L Martens, A Marandi, I Adan, LFP Etman, J Baayen - research.tue.nl
In this master thesis project, a global optimization method for nonlinear problems in relation
to pressurized pipe flow equations is further developed. The solution methods used in this …
to pressurized pipe flow equations is further developed. The solution methods used in this …