Multi-objective combinatorial optimization using evolutionary algorithms

Özsayın, Burcu
Due to the complexity of multi-objective combinatorial optimization problems (MOCO), metaheuristics like multi-objective evolutionary algorithms (MOEA) are gaining importance to obtain a well-converged and well-dispersed Pareto-optimal frontier approximation. In this study, of the well-known MOCO problems, single-dimensional multi-objective knapsack problem and multi-objective assignment problem are taken into consideration. We develop a steady-state and elitist MOEA in order to approximate the Pareto-optimal frontiers. We utilize a territory concept in order to provide diversity over the Pareto-optimal frontiers of various problem instances. The motivation behind the territory definition is to attach the algorithm the advantage of fast execution by eliminating the need for an explicit diversity preserving operator. We also develop an interactive preference incorporation mechanism to converge to the regions that are of special interest for the decision maker by interacting with him/her during the optimization process.


Galois structure of modular forms of even weight
Gurel, E. (Elsevier BV, 2009-10-01)
We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.
Application of genetic algorithms to geometry optimization of microclusters: A comparative study of empirical potential energy functions for silicon
Erkoc, S; Leblebicioğlu, Mehmet Kemal; Halıcı, Uğur (Informa UK Limited, 2003-01-01)
Evolutionary computation techniques (in particular, genetic algorithms) have been applied to optimize the structure of microclusters. Various empirical potential energy functions have been used to describe the interactions among the atoms in the clusters. A comparative study of silicon microclusters has been performed.
AKBAŞ, MİNE; Kaya Merdan, Songül; MOHEBUJJAMAN, Muhammed; rebholz, leo (2016-01-01)
We consider a fully discrete, efficient algorithm for magnetohydrodynamic (MHD) flow that is based on the Elsasser variable formulation and a timestepping scheme that decouples the MHD system but still provides unconditional stability with respect to the timestep. We prove stability and optimal convergence of the scheme, and also connect the scheme to one based on handling each decoupled system with a penalty-projection method. Numerical experiments are given which verify all predicted convergence rates of ...
Stochastic modelling of biochemical networks and inference of modelparameters
Purutçuoğlu Gazi, Vilda (null, Springer, 2018-01-01)
There are many approaches to model the biochemical systems deterministically or stochastically. In deterministic approaches, we aim to describe the steady-state behaviours of the system, whereas, under stochastic models, we present the random nature of the system, for instance, during transcription or translation processes. Here, we represent the stochastic modelling approaches of biological networks and explain in details the inference of the model parameters within the Bayesian framework.
Character sums of quadratic forms over finite fields and the number of rational points for some classes of artin-schreier type curves
Coşgun, Ayhan; Doğanaksoy, Ali; Department of Mathematics (2017)
Exponential sums of quadratic forms over finite fields have many applications to various areas such as coding theory and cryptography. As an example to these applications, there is an organic connection between exponential sums of quadratic forms and the number of rational points of algebraic curves defined over finite fields. This connection is central in the application of algebraic geometry to coding theory and cryptography. In this thesis, different facts and techniques of theory of finite fields are co...
Citation Formats
B. Özsayın, “Multi-objective combinatorial optimization using evolutionary algorithms,” M.S. - Master of Science, Middle East Technical University, 2009.