Una variante del problema de la diversidad máxima para seleccionar equipos de trabajo eficientes

Abstract

The maximum diversity problem consists in selecting a subset of elements from a given set in such a way that a measure of diversity  is  maximized.    In  particular,  we  target  the  Max-Mean  model  in  which  the  average  distance  between  the  selected  elements  is maximized.  We first review previous methods and mathematical formulations for this and related dispersion problems and then propose analytic  properties  for  them.  Our  model  is  especially  suited  for  instances  in  which  the“distances”represent  affinity  and  are  not restricted  to  take  non-negative  values.    In  this  paper,  we  solvinga  real  instance,  to  obtain  a  diverse  assembly  of  professors  from  the ESPOL  University  at  Guayaquil  (Ecuador).    For  each  professor,  we  record  7  attributes  (tenure  position,  gender,  academic  degree, research level, background, salary level, and department),and the similarity measure between each pair of them is computed.