In this paper, a complete review of published researches about hierarchical facility location and hub network problems is presented. Hierarchical network is a system where facilities with different service levels interact in a top-down way or vice versa. In Hierarchical systems, service levels are composed of different facilities. Published papers from (1970) to (2015) have been studied and a c...

We investigate the representation of hierarchical models in terms of marginals of other hierarchical models with smaller interactions. We focus on binary variables and marginals of pairwise interaction models whose hidden variables are conditionally independent given the visible variables. In this case the problem is equivalent to the representation of linear subspaces of polynomials by feedfor...

according to the limit of resources in the subject of prioritization, one of the alternative methods is mcdm method. generally, mcdm models have been developed under certainty while we confront with under uncertainty in real world. in hierarchical mcdm methods, one of the main steps is to weigh criteria and computes each alternative weight using defined criteria in the next steps. one of the ea...

Ecologists increasingly rely on Bayesian methods to fit capture–recapture models. Capture–recapture models are used estimate abundance while accounting for imperfect detectability in individual-level data. A variety of implementations exist such models, including integrated likelihood, parameter-expanded data augmentation, and combinations those. with latent random effects can be computationall...