Handbook of optimization theory : decision analysis and application

著者

    • Varela, Juan
    • Acuña, Sergio

書誌事項

Handbook of optimization theory : decision analysis and application

Juan Varela and Sergio Acuña, editors

(Mathematics research developments series)

Nova Science Publishers, c2011

  • : hardcover

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注記

Includes index

内容説明・目次

内容説明

Several problems in modern genome mapping analysis belong to the field of discrete optimisation on a set of all possible orders. In this book, formulations, mathematical models and algorithms for genetic/genomic mapping problem that can be formulated in TSP-like terms are proposed. Since the 1960s, Operational Research techniques have extensively been developed to support organisations in their Manpower Planning challenge -- a fundamental aspect of Human Resource Management in organisations. This book reviews the techniques and alternative approaches that have been introduced in Manpower Planning (e.g., simulation techniques), and in general, the Markov Chain Theory. Furthermore, the authors of this book propose a new class of strategies for giving the optimal inventory replenishments for each retailer. In addition, the authors demonstrate how to increase the usage of iterative methods in all possible fields by accelerating such solvers using Reconfigurable Hardware. An optimisation method for material layout of incompressible rubber components is presented as well. Other chapters in this book use a generic approach to study minimisation problems on a complete metric space, provide a novel design method in the case of an output feedback suboptimal control problem, derive Levy process-based models of jump diffusion-type for banking operations involving securitisation, capital and profitability, and investigate the optimality of the loan securitisation process that has had a prominent role to play in the sub-prime mortgage crisis (SMC).

目次

  • Preface
  • Discrete Optimisation for Some TSP-Like Genome Mapping Problems
  • Benchmarking Hospital Units' Efficiency Using Data Envelopment Analysis: The Case of Greek Obstetric & Gynaecology Public Units
  • Markov Models in Manpower Planning: A Review
  • Stochastic Differential Games with Structural Uncertainties: A Paradigm for Interactive Stochastic Optimisation
  • An Optimisation Approach for Inventory Routing Problem in Congested Road Network
  • Accelerating Iterative Solvers with Reconfigurable Hardware
  • Fair Division Problems with Non-additive Evaluations: Existence of Solutions & Representation of Preference Orderings
  • A VOF-Based Shape Optimisation Method for Incompressible Hyperelastic Materials
  • Multi-Objective Optimisation: Quasi-Even Generation of Pareto Frontier & its Local Approximation
  • On the Dynamics of Coalition Structure Beliefs
  • Relaxed Stability Conditions for Linear Time-Varying Systems with Applications to the Robust Stabilisation Problem
  • A Decomposition Method to Solve Non-Symmetric Variational Inequalities
  • Numerical Approximation to Solve QVI Systems related to Some Production Optimisation Problems
  • Vector Optimisation on Metric Spaces
  • Robust Static & Dynamic Output Feedback Suboptimal Control of Uncertain Discrete-Time Systems Using Additive Gain Perturbations
  • Numerical Computation for Solving Cross-Coupled Large-Scale Singularly Perturbed Stochastic Algebraic Riccati Equation
  • Bank Securitisation, Capital & Profitability with Applications to the Sub-prime Mortgage Crisis
  • Queuing Networks with Retrials due to Unsatisfactory Service
  • Some Results on Condition Numbers
  • The Sub-prime Mortgage Crisis: Optimal Cash Flows from the Financial Leverage Profit Engine
  • Index.

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