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We present a new class of integer extended ABS algorithms for solving linear Diophantine systems. The proposed class contains the integer ABS (the so-called EMAS and our proposed MEMAS) algorithms and the generalized Rosser’s algorithm as its members. After an application of each member of the class a particular solution of the system and an integer basis for the null space of the coefficient matrix...
This is a summary of the author’s Ph.D. thesis, supervised by Gianpaolo Ghiani and Barrett W. Thomas and defended on 21 February 2008, at the Università degli Studi della Calabria. The thesis is written in English and is available from the author upon request. In this work, various tactical and operational issues concerning real-time fleet management are studied. First, we introduce the Dynamic and...
The mathematical representation of human preferences has been a subject of study for researchers in different fields. In multi-criteria decision making (MCDM) and fuzzy modeling, preference models are typically constructed by interacting with the human decision maker (DM). However, it is known that a DM often has difficulties to specify precise values for certain parameters of the model. He/she instead...
This is a summary of the author’s PhD thesis, supervised by Pierre L’Ecuyer and Roberto Musmanno and defended on 21 February 2008 at the Università della Calabria. The thesis is written in English and is available from the author upon request. This work deals with the comparison of simulation-based algorithms for solving the agents scheduling problem in a multiskill call center minimizing their costs...
This is a summary of the author’s Ph.D. thesis supervised by Fioravante Patrone and Stefano Bonassi and defended on 25 May 2006 at the Università degli Studi di Genova. The thesis in written in English and a copy is available from the author upon request. This work deals with the discussion and the application of a methodology based on Game Theory for the analysis of gene expression data. Nowadays,...
This is a summary of the author’s Ph.D. thesis, defended on 8 October 2007 at the University of Luxembourg and the Faculté Polytechnique de Mons, under the joint supervision of Raymond Bisdorff and Marc Pirlot. The thesis is written in English and is available from the author upon request. The work is situated in the field of multiple criteria decision analysis. It mostly deals with what we call progressive methods...
Let E be a finite set and $${\mathcal{H}}$$ a family of subsets of E such that the symmetric difference of any two members of this family is at least 2. Let $${\mathcal{F}}$$ be the complement of $${\mathcal{H}}$$ in $${\mathcal{P}(E)}$$ , the set of the subsets of E. In this paper we characterize the convex hull of the characteristic vectors of the elements of $${\mathcal{F}}$$...
This paper surveys recent applications and advances of the constraint programming-based column generation framework, where the master subproblem is solved by traditional OR techniques, while the pricing subproblem is solved by constraint programming (CP). This framework has been introduced to solve crew assignment problems, where complex regulations make the pricing subproblem demanding for traditional...
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