Combinatorial Optimization

Combinatorial Optimization is an active research area that developed from the rich interaction among many mathematical areas, including combinatorics, graph theory, geometry, optimization, probability, theoretical computer science, and many others. It combines algorithmic and complexity analysis with a mature mathematical foundation and it yields both basic research and applications in manifold areas such as, for example, communications, economics, traffic, network design, VLSI, scheduling, production, computational biology, to name just a few. Through strong inner ties to other mathematical fields it has been contributing to and benefiting from areas such as, for example, discrete and convex geometry, convex and nonlinear optimization, algebraic and topological methods, geometry of numbers, matroids and combinatorics, and mathematical programming. Moreover, with respect to applications and algorithmic complexity, Combinatorial Optimization is an essential link between mathematics, computer science and modern applications in data science, economics, and industry

LIPIcs, Volume 261, ICALP 2023, Complete Volume

LIPIcs, Volume 261, ICALP 2023, Complete Volum

Practical application of thermodynamics in the optimal synthesis of chemical and biotechnological processes

In most chemical engineering design problems it is required a complex set of research steps so as to establish the operating conditions in which the process reaches the highest conversion, yield and productivity. However, these steps are tedious, complex and can lead to mistakes. To differ from this, the coupled application of the thermodynamics and the graph-theory appears can be considered as an alternative to design chemical and biotechnological processes. So, in that way, this master’s thesis presents a strategy to synthetize, to design and to evaluate conventional and non-conventional process schemes using Process Engineering techniques from a complete set of different configurations that corresponds to maximal yield of a target product to find good initial estimates to perform calculations and rigorous simulations. A theoretical evaluation was followed to corroborate different possibilities in operation conditions provided for the models for both types of approaches. This kind of evaluation was therefore particularly useful for assessing feasibility of chemical production systems and moreover it provided a realistic measure of the potential for improving the efficiency of the overall processResumen: Actualmente, para solucionar el problema de diseño de procesos para la industria química, se requiere de un complejo conjunto de pasos de investigación con el fin de establecer las condiciones de operación en las cuales el proceso alcanza los mejores valores de conversión, rendimiento y productividad, los cuales resultan ser muy costosos y tediosos. La finalidad de este proyecto de investigación es sintetizar, diseñar y evaluar esquemas convencionales de procesos químicos y biotecnológicos usando Ingeniería de Procesos junto a técnicas de modelamiento matemático basadas en la termodinámica. Para el desarrollo de este objetivo principal, la metodología propuesta se fundamenta en la aplicación teórica de la termodinámica y como herramienta fundamentales en la cualificación y cuantificación del comportamiento de diversos sistemas (mezclas), proporcionando a su vez criterios y directrices para el adecuado modelamiento y posterior evaluación de esquemas de procesos más eficientes desde un punto de vista técnico y energético.Maestrí

Fuzzy Techniques for Decision Making 2018

Zadeh's fuzzy set theory incorporates the impreciseness of data and evaluations, by imputting the degrees by which each object belongs to a set. Its success fostered theories that codify the subjectivity, uncertainty, imprecision, or roughness of the evaluations. Their rationale is to produce new flexible methodologies in order to model a variety of concrete decision problems more realistically. This Special Issue garners contributions addressing novel tools, techniques and methodologies for decision making (inclusive of both individual and group, single- or multi-criteria decision making) in the context of these theories. It contains 38 research articles that contribute to a variety of setups that combine fuzziness, hesitancy, roughness, covering sets, and linguistic approaches. Their ranges vary from fundamental or technical to applied approaches