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Editorial
Special Issue
Advances in Continuous Optimization
of EJOR,
European Journal of Operational Research
on the Occasion of
EUROPT Workshop
Advances in Continuous Optimization,
Istanbul, Turkey, July 4-5, 2003
prepared and supported by
EUROPT (EURO Working Group on Continuous Optimization)
HYPERLINK "http://www.iam.metu.edu.tr/EUROPT/" http://www.iam.metu.edu.tr/EUROPT/
On July 4-5, 2003, EUROPT celebrated its third annual workshop in Istanbul, Turkey
( HYPERLINK "http://www.iam.metu.edu.tr/contopt03/conf/index.html" http://www.iam.metu.edu.tr/contopt03/conf/index.html), right before EURO/INFORMS Joint
International Meeting (Istanbul, July 6-10, 2003). The organizing committee of the Workshop was composed of Ilkay Boduroglu, Bulent Karasozen, Mustafa C. Pinar and Gerhard-Wilhelm Weber. The Workshop was high-lighted by the participation of six invited speakers: Tamas Terlaky (McMaster University), Farid Alizadeh (Rutgers University), Oliver Stein (Technical University of Aachen), Marc Teboulle (Tel-Aviv University), Jean-Louis Goffin (McGill University), Ivo Nowak (Humboldt Univerity, Berlin). More than 40 participants made 14 contributed presentations in the Workshop. This event was made possible by the sponshorship and support of The Association of European Operational Research Societies, Middle East Technical University, Bogazici University and Bilkent University
During the conference, the call was given by EJOR for a further special issue to be prepared by our EURO working group as proceedings to the workhop Advances in Continuous Optimization. Following the theme of this workshop, the title of the special issue became Advances in Continuous Optimization. From this time on, our invitations, entire organization and initiation of refereeing processes began, based on and continuing the high scientific level of the Istanbul workshop.
The present EJOR special issue is already the third one of our working group EUROPT which was founded in Budapest, Hungary, in 2000. Following both the workshop held there and the second one held in Rotterdam, The Netherlands, in 2001, two EJOR special issues (or Feature Clusters) were prepared and
published. Today, we are glad to announce the finalization of this third EJOR special issue. There were nine papers submitted to us, four of them by participants of that workshop with their coauthors, and the other ones by EUROPT members and colleagues which then became new friends of EUROPT and EURO. The refereeing process consisted of the careful work of eighteen referees, specialists from all over the world. As a result of their rigor, devotion, and very contructive and fruitful work, all nine papers of this Feature Cluster fulfil the high standards of EJOR and reflect the Advances in Continuous Optimization by a very rich variety in state-of-the-art research and vision. We, guest editors, thank the participating referees very sincerely for their devoted efforts, and for their positive encouragement of the authors whenever needed.
The paper by M.A. Goberna and M.M.L. Rodrguez, Analyzing linear systems containing strict inequalities via evenly convex hulls, is a valuable contribution to the convex analysis and linear optimization in the so-called semi-infinite case of possibly infinitely many inequalitities. A consistence theorem is provided and strict inequalities characterized in this analytical and geometrical article with its careful proofs.
Mustafa . P1nar and W.M. Hartmann in their contribution Huber approximation for the nonlinear l1 problem present a smoothing algorithm for this non-smooth approximation problem in l1-norm. This paper includes a convergence theorem (under certain assumptions), a convergence rate result, and reports computational tests.
The work of S.I. Birbil, G. Bouza, J.B.G. Frenk and G. Still, Equilibrium constrained optimization problems, demonstrates a modern and pioneering unified view on continuous problems. In fact, equilibrium constrained problems allow a joint approach and study of bilevel problems, problems with complementarity conditions and generalized semi-infinite optimization problems.
M.U. Akhmet, M. Kirane, M.A. Tleubergenova and G.-W. Weber by their paper Control and optimal response problems for quasilinear impulsive integro-differential equations investigate a wide class of processes with jumps, which gives access to optimization theory for many modern applications. Special attention is paid to the optimal control of response.
D.M. Cardoso and L.A. Vieira in their contribution On the optimal parameter of a self-concordant barrier over a symmetric cone prove in a more direct and suitable way a result about the Carathodory number of the cone of squares of a Euclidean Jordan algebra and conclude that the rank of such an algebra is also the self-concordant barrier optimal parameter.
A.G. Hadigheh and T. Terlaky in their paper Sensitivity analysis in linear optimization: Invariant support set intervals successfully perform a threefold kind of sensitivity analysis referring to parameter range and value and to optimal solutions. This research was motivated by managerial requirements.
P. Kaelos and M.M. Alis A numerical study of some modified differential evolution algorithms presents a suggestion to the differential evolution algorithm for global optimization by modifications in mutation and localization in acceptance rule. Numerical experience concludes the paper.
J. Guddat, F. Guerra Vazquez, D. Nowak and Jan.-J. Rckmann in their contribution A modified standard embedding with jumps in nonlinear optimization continue their investigation into path following methods for finitely constrained optimization. In fact, they allow a larger set of starting points for the jumps, and they present computational results.
L. Faybusovich in his paper Semi-definite descriptions of cones defining spectral mask constraints presents a semi-definite programming description of certain cones of trigonometric polynomials, hence, allowing efficient optimization of linear functionals on these cones. This article contributes to the discipline of conic optimization.
We are convinced that each of these papers by content and style really fulfills the high EJOR standards and serves to represent continuous optimization as one of the core areas of modern OR. It is our hope in editing this Feature Cluster that readers of EJOR will appreciate the efforts of EURO as a European initiative for the advancement of science, and EJOR as a unique premium journal for scientific exchange.
Ankara, December 31, 2004
Guest editors:
Blent Karaszen,
Middle East Technical University (METU), Ankara, Turkey
Mustafa . P1nar, Bilkent University, Ankara, Turkey
Tamas Terlaky (EUROPT deputy at EJOR),
McMaster University, Hamilton, Canada
Gerhard-Wilhelm Weber, B C D E b q r t u
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