Kategoria BISAC: Mathematics >> Linear & Nonlinear Programming

This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize...

Cet ouvrage presente des modeles aleatoires elementaires et certaines de leurs applications courantes: algorithmes d'optimisation, gestion des approvisionnements, dimensionnement de files d'attente, fiabilite et dimensionnement d'ouvrages. Des problematiques plus recentes sont egalement abordees: recherche de sequences exceptionnelles et de zones homogenes de l'ADN, estimation du taux de mutation de l'ADN, phenomenes de coagulation de molecules de polymeres ou d'aerosols."

Local search has been applied successfully to a diverse collection of optimization problems. It's appreciated for its basic conceptual foundation, its general applicability, and its power to serve as a source for new search paradigms. The typical characteristics of combinatorial optimization problems to which local search can be applied, its relation to complexity theory, and the combination with randomized search features have led to a wealth of interesting theoretical results. However, these results are scattered throughout the literature.

This is the first book that presents a...

This book addresses issues associated with the interface of computing, optimisation, econometrics and financial modeling, emphasizing computational optimisation methods and techniques. The first part addresses optimisation problems and decision modeling, plus applications of supply chain and worst-case modeling and advances in methodological aspects of optimisation techniques. The second part covers optimisation heuristics, filtering, signal extraction and time series models. The final part discusses optimisation in portfolio selection and real option modeling.

An in-depth overview of polyhedral methods and efficient algorithms in combinatorial optimization. These methods form a broad, coherent and powerful kernel in combinatorial optimization, with strong links to discrete mathematics, mathematical programming and computer science. In eight parts, various areas are treated, each starting with an elementary introduction to the area, with short, elegant proofs of the principal results, and each evolving to the more advanced methods and results, with full proofs of some of the deepest theorems in the area. Over 4000 references to further research...

Many advances have recently been made in metaheuristic methods, from theory to applications. The editors, both leading experts in this field, have assembled a team of researchers to contribute 21 chapters organized into parts on simulated annealing, tabu search, ant colony algorithms, general purpose studies of evolutionary algorithms, applications of evolutionary algorithms, and metaheuristics.

Ce livre presente les differents aspects et methodes utilises dans la resolution des problemes d'optimisation stochastique avec en vue des applications plus specifiques a la finance. Il expose graduellement les methodes mathematiques en presentant d'abord les idees intuitives, puis en enoncant precisement les resultats avec des demonstrations completes et detaillees. Chacune des methodes est illustree sur de nombreux exemples issus de la finance."