Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Paul Manns"'
Autor:
Marvin Severitt, Paul Manns
Publikováno v:
INFORMS Journal on Computing.
We consider a class of integer linear programs (IPs) that arise as discretizations of trust-region subproblems of a trust-region algorithm for the solution of control problems, where the control input is an integer-valued function on a one-dimensiona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::409bfe0276a271d3e8e25d0165c70cc3
https://doi.org/10.1287/ijoc.2023.1294
https://doi.org/10.1287/ijoc.2023.1294
Publikováno v:
IEEE Control Systems Letters. 6:548-553
This article is concerned with a recently proposed switching cost aware rounding (SCARP) strategy in the combinatorial integral approximation for mixed-integer optimal control problems (MIOCPs). We consider the case of a control variable that is disc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94652496844745e83d382e77108da8f5
https://doi.org/10.1109/lcsys.2021.3082989
https://doi.org/10.1109/lcsys.2021.3082989
Publikováno v:
Mathematics of Computation. 90:1263-1296
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71262266ed9716568a54b69f98697391
https://doi.org/10.1090/mcom/3606
https://doi.org/10.1090/mcom/3606
Publikováno v:
Computational Optimization and Applications. 79:193-221
We consider the problem of designing a cloak for waves described by the Helmholtz equation from an integer programming point of view. The problem can be modeled as a PDE-constrained optimization problem with integer-valued control inputs that are dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdb0823fa1ccd767d48a1d113db789a1
https://doi.org/10.1007/s10589-020-00262-3
https://doi.org/10.1007/s10589-020-00262-3
Publikováno v:
Mathematical Programming. 188:569-598
The combinatorial integral approximation decomposition splits the optimization of a discrete-valued control into two steps: solving a continuous relaxation of the discrete control problem, and computing a discrete-valued approximation of the relaxed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aaaab471bf3c2a4329281f7d848f3dae
https://doi.org/10.1007/s10107-020-01598-8
https://doi.org/10.1007/s10107-020-01598-8
Publikováno v:
Mathematical Programming. 188:621-652
We investigate an extension of Mixed-Integer Optimal Control Problems by adding switching costs, which enables the penalization of chattering and extends current modeling capabilities. The decomposition approach, consisting of solving a partial outer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45e5629ce9112a494fbe1d82afded2ee
https://doi.org/10.1007/s10107-020-01581-3
https://doi.org/10.1007/s10107-020-01581-3
Autor:
Paul Manns, Christian Kirches
Publikováno v:
SIAM Journal on Numerical Analysis. 58:3427-3447
Partial outer convexification has been used to derive relaxations of mixed-integer optimal control problems (MIOCPs) that are constrained by time-dependent differential equations. The family of sum...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03d931e2b43a19c77404789f5252c10e
https://doi.org/10.1137/19m1260682
https://doi.org/10.1137/19m1260682
Publikováno v:
SIAM Journal on Control and Optimization. 58:1371-1402
We extend recent work on solving mixed-integer nonlinear optimal control problems (MIOCPs) to the case of integer control functions subject to constraints that involve a pointwise coupling of the s...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24fc0da6e497668838ab57ddb304a732
https://doi.org/10.1137/18m1182917
https://doi.org/10.1137/18m1182917
Publikováno v:
International Series of Numerical Mathematics ISBN: 9783030793920
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60906fc19ade1cd91b7504a6f6c022cd
https://doi.org/10.1007/978-3-030-79393-7_11
https://doi.org/10.1007/978-3-030-79393-7_11
Publikováno v:
Applied Mathematics & Optimization. 83:1919-1949
We investigate the problem of optimal transport in the so-called Kantorovich form, i.e. given two Radon measures on two compact sets, we seek an optimal transport plan which is another Radon measure on the product of the sets that has these two measu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43b50ddf0965830e50390c6f9c5898f5
https://doi.org/10.1007/s00245-019-09614-w
https://doi.org/10.1007/s00245-019-09614-w