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Ordinal optimization

In mathematical optimization, ordinal optimization is the maximization of functions taking values in a partially ordered set ("poset"). Ordinal… 
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Papers overview

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2016
2016
This paper describes and analyzes the problem of selecting the best of several alternatives (“systems”), where they are compared… 
2015
2015
The Carathéodory, Helly, and Radon numbers are three main invariants in convexity theory. They relate, respectively, to minimal… 
2008
2008
Reactive power control in distribution system is an important and effective method to make the power loss less and voltage… 
Highly Cited
2007
Highly Cited
2007
The increasing complexity of the transmission expansion planning problem in the restructured industry makes simulation the only… 
Highly Cited
2004
Highly Cited
2004
The optimal power flow (OPF) problem with discrete control variables is an NP-hard problem in its exact formulation. To cope with… 
Highly Cited
2001
Highly Cited
2001
The deregulation and reconstruction of the electric power industry worldwide raises many challenging issues related to the… 
Highly Cited
2001
Highly Cited
2001
Computational efficiency is one of the major challenges of applying simulation to short-term operation scheduling of… 
Highly Cited
1999
Highly Cited
1999
The performance of heuristic algorithms for combinatorial optimization is often sensitive to problem instances. In extreme cases… 
1998
1998
A general approach for coordinating the legs of a multi-legged statically stable walking machine on an uneven terrain. The method… 
Highly Cited
1997
Highly Cited
1997
We examine in this paper the subset selection procedure in the context of ordinal optimization introduced in Ref. 1. Major…