Discrete Diversity and Dispersion Maximization

Rafael Martí is Professor of Statistics and Operations Research at the University of Valencia, Spain. He received a doctoral degree in Mathematics from the University of Valencia in 1994. He has done extensive research in metaheuristics for hard optimization problems. Dr Martí has about 200 publications, half of them in indexed journals (JCR),. His h-index is 54 according to Google scholar. He is the co-author of several monographic and edited books, such as “The Linear Ordering Problem” (Springer 2011) or “Metaheuristics for Business Analytics” (Springer 2018). Prof. Martí has recently co-edited the "Handbook of Heuristics", a 3-volume reference in the area, published by Springer, and has secured an American patent. Prof. Martí is currently Area Editor in the Journal of Heuristics, and Associate Editor in many journals of the area, such as EJOR, TOP, or Math. Prog. Comp. He is Senior Research Associate of OptTek Systems (USA), and has given about 50 invited and plenary talks. Dr. Martí has been invited Professor in many universities, including the University of Colorado (USA), the University of Molde (Norway), the University of Wien (Austria), and University of Bretagne-Sud (France), or the University College of Dublin (Ireland). He coordinates the Spanish Network on Metaheuristics, currently funded by the Spanish government. Anna Martínez-Gavara is Associate Professor of Statistics and Operations Research at the University of Valencia, Spain. She received a doctoral degree in Mathematics from the University of Valencia in 2008. She has done extensive research in metaheuristics for hard optimization problems. Prof. Martínez-Gavara has close to 200 cites according to Google scholar, and has been referee for the most important journals in optimization, such as EJOR, Computers and OR, or JOGO. Prof. Martínez-Gavara is co-author in 16 publications in journals indexed in JCR, most of them in the first quartile as EJOR, ESWA, or Information Sciences. In addition, she is co-author in more than 15 other publications including non-indexed journals, book chapters and publications in proceedings of both national and international congresses. He has made more than 30 presentations at conferences (national and international) and at universities, as well as various research stays at the universities of Marseille (France), l'École Polytechnique de Paris (France), Colorado (USA) and Nottingham (UK). Prof. Martínez-Gavara teaches courses such as Statistical and Optimization in Master’s Degree in Data Science or Mathematical programming in the Degree in Mathematics, among others.

• Part I Models: Discrete diversity optimization. Models and instances (Martınez-Gavara).- The Origins of Discrete Diversity (Kuby).- Geometrical Analysis of Solutions (Alcaraz).- Part II Constructive based Metaheuristics: Constructive and destructive methods in heuristic search (Aringhieri).- Greedy Randomized Adaptive Search Procedure (Sánchez-Oro).- Iterated Greedy (Lozano).- Part III Trajectory based Metaheuristics: Tabu Search (Martínez-Gavara).- Variable neighborhood search (Urošević).- Less is More approach (Todosijević).- Simulated Annealing (Kincaid).- Part IV Population based Metaheuristics: Scatter Search (Martınez-Gavara).- Memetic Algorithms (Hao).- Part V Extensions: Data Mining in Heuristic Search (Martins).- Multi-objective Optimization (Colmenar).