On convex relaxations in nonconvex optimization

Tapio Westerlund; null Tapio; Andreas Lundell; null Andreas; null Westerlund; null Joakim

doi:10.3303/CET1124056

On convex relaxations in nonconvex optimization

Tapio Westerlund, Tapio, Andreas Lundell, Andreas, Westerlund, Joakim

Research output: Contribution to journal › Article › Scientific › peer-review

6 Citations (Scopus)

Abstract

Convex relaxations play an important role in many areas, especially in optimization and particularly in global optimization. In this paper we will consider some special, but fundamental, issues related to convex relaxation techniques in constrained nonconvex optimization. We will especially consider optimization problems including nonconvex inequality constraints and their relaxations. Finally, we will illustrate the results by a problem connected to N-dimensional allocation.

Original language	Undefined/Unknown
Pages (from-to)	331–336
Number of pages	6
Journal	Chemical Engineering Transactions
Volume	24
DOIs	https://doi.org/10.3303/CET1124056
Publication status	Published - 2011
MoE publication type	A1 Journal article-refereed

Access to Document

10.3303/CET1124056

http://www.aidic.it/cet/11/24/056.pdf

Cite this

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title = "On convex relaxations in nonconvex optimization",

abstract = "Convex relaxations play an important role in many areas, especially in optimization and particularly in global optimization. In this paper we will consider some special, but fundamental, issues related to convex relaxation techniques in constrained nonconvex optimization. We will especially consider optimization problems including nonconvex inequality constraints and their relaxations. Finally, we will illustrate the results by a problem connected to N-dimensional allocation.",

author = "Tapio Westerlund and Tapio and Andreas Lundell and Andreas and Westerlund and Joakim",

note = "10th International Conference on Chemical and Process Engineering ICheaP-10, 8-11 May, 2011, Florence, Italy. ISBN: 978-88-95608-15-0",

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AU - Westerlund, Tapio

AU - Tapio, null

AU - Lundell, Andreas

AU - Andreas, null

AU - Westerlund, null

AU - Joakim, null

N1 - 10th International Conference on Chemical and Process Engineering ICheaP-10, 8-11 May, 2011, Florence, Italy. ISBN: 978-88-95608-15-0

PY - 2011

Y1 - 2011

N2 - Convex relaxations play an important role in many areas, especially in optimization and particularly in global optimization. In this paper we will consider some special, but fundamental, issues related to convex relaxation techniques in constrained nonconvex optimization. We will especially consider optimization problems including nonconvex inequality constraints and their relaxations. Finally, we will illustrate the results by a problem connected to N-dimensional allocation.

AB - Convex relaxations play an important role in many areas, especially in optimization and particularly in global optimization. In this paper we will consider some special, but fundamental, issues related to convex relaxation techniques in constrained nonconvex optimization. We will especially consider optimization problems including nonconvex inequality constraints and their relaxations. Finally, we will illustrate the results by a problem connected to N-dimensional allocation.

U2 - 10.3303/CET1124056

DO - 10.3303/CET1124056

M3 - Artikel

SN - 1974-9791

VL - 24

SP - 331

EP - 336

JO - Chemical Engineering Transactions

JF - Chemical Engineering Transactions

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