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This thesis summarizes most of my recent research in the field of portfolio optimization. The main topics which I have addressed are portfolio problems with stochastic interest rates and portfolio problems with defaultable assets. The starting point for my research was the paper "A stochastic control ap proach to portfolio problems with stochastic interest rates" (jointly with Ralf Korn), in which we solved portfolio problems given a Vasicek term structure of the short rate. Having considered the Vasicek model, it was obvious that I should analyze portfolio problems where the interest rate dynamics are gov erned by other common short rate models. The relevant results are presented in Chapter 2. The second main issue concerns portfolio problems with default able assets modeled in a firm value framework. Since the assets of a firm then correspond to contingent claims on firm value, I searched for a way to easily deal with such claims in portfolio problems. For this reason, I developed the elasticity approach to portfolio optimization which is presented in Chapter 3. However, this way of tackling portfolio problems is not restricted to portfolio problems with default able assets only, but it provides a general framework allowing for a compact formulation of portfolio problems even if interest rates are stochastic.
This book offers a novel perspective that allows to incorporate changing consumption and production structure into models of economic growth. Starting from the empirical observation that income and consumption structure are closely related, it develops a tractable theoretical framework which enables to analyze macroeconomic models consistent with these empirical facts. As a result, central macroeconomic phenomena are better understood: the reasons behind long-run growth, structural change, and the influence of inequality on innovations and growth.
The Area of Research and the Object of Investigation In this thesis we will investigate trading strategies in illiquid markets from a market microstructure perspective. Market microstructure is the academic term for the branch of financial economics that investigates trading and the organization of security markets, see, e. g. , Harris (2002). Historically, exchanges evolved as a location, where those interested in buy ing or selling securities could meet physically to transact. Thus, traditionally security trading was organized on exchange floors, where so-called dealers arranged all trades and provided liquidity by quoting prices at which they were willing buy or sell. Consequently, the initial surge of the market mi crostructure literature focused predominantly on this type of market design, which is often referred to as quote-driven. Nowadays, the interest is shifting towards order-driven markets. Beginning with the Toronto Stock Exchange in the mid 1970s and increasing in fre quency and scope, this market structure has emerged as the preeminent form of security trading worldwide. In order-driven markets, exchanges arrange trades by matching public orders, often by employing automatic execution systems. Introduction A major difference between a quote-driven and an order-driven market arises from the transparency pre- and post-trade. The pre-trade transparency con cerns the question whether the order book is visible to the keeper only, or whether it is open to the public.
Production planning problems containing special characteristics from process industries are addressed in this book. The main subject is the development of mathematical programming models that allow to model production plans which are not disrupted by discretization of time. However, discrete time models are used as a basis and are subsequently enhanced to include aspects of time continuity. Their integration is achieved by different building blocks which may be combined freely according to the specific planning situation at hand. The primary area of application of these kinds of models are process industries.
This work uses various model frameworks to study the evolution of equilibria in an open loop evolving economy in which the model characteristics evolve without any directional restrictions except for continuity. Applying mathematical methods, it is shown that equilibria can always be adapted in a piecewise gradual, non bang-bang way.
5th Werner Kern Award for Productivity Research 2005 Kanban control systems bear a great potential to significantly improve operations. A company may reap the full benefits of kanban control only after determining an optimal or near-optimal system configuration. To do that, methods are needed to evaluate the performance and operating costs of individual system configurations. We propose an innovative construction-kit approach that enables us to build stochastic analytical models of a large class of single- and multi-product kanban systems. The presented construction-kit approach may be extended and augmented in various directions.
Economic application of nonlinear dynamics, microscopic agent-based modelling, and the use of artificial intelligence techniques as learning devices of boundedly rational actors are among the most exciting interdisciplinary ventures of economic theory over the past decade. This volume provides us with a most fascinating series of examples on "complexity in action" exemplifying the scope and explanatory power of these innovative approaches.
The book considers the lot-sizing and scheduling problem for flexible flow line production facilities. Flexible flow lines are flow lines with parallel machines on some or all production stages. They can be found in a vast number of industries. A three-phased solution approach is presented that solves the integrated lot-sizing and scheduling problem in a hierarchical manner. The approach is able to handle several important features relevant in industrial practice, such as back-orders and setup carry-over. The developed solution procedures solve practically sized problems in a relatively short amount of time. One of the procedures is based on a novel mixed integer programming (MIP) model, which employs integer variables instead of binary variables. This makes it possible to find (near-)optimal solutions using standard algorithms such as CPLEX. Another procedure uses two nested Genetic Algorithms. An application of the framework in the semiconductor industry is given.
The complexity of distribution systems is augmented by various trends: globalization of the manufacturing industry, rising customer demands, and the reverse flows within closed-loop systems. In this light, the need for ‘advanced’ planning methods that are based on quantitative optimization is constantly increasing. This book takes up the challenges posed by these developments. In doing so, it presents recent results and case studies from a group of researchers that regularly meet at the IWDL (International Workshop on Distribution Logistics). The text covers the design of distribution networks, vehicle routing, warehousing and reverse logistics. It also contains a comprehensive review of more than 60 case studies in reverse logistics.
Writing a book is not possible without the generous input of many people. It is a pleasure to have the opportunity to thank at least some of these people. Prof. Dr. Jochen Michaelis, the supervisor of my dissertation, taught me how to do economic analysis and initiated my interest in labour market is sues. Discussions with him have always been enlightening and have greatly improved the analysis in this book. Moreover, he always encouraged me when I experienced a slump in my motivation. He never lost his calmness and good temper, not even in situations when my need for discussion must have been bothering him. Thanks for that Jochen. I'm indebted to Prof. Dr. Peter Weise for taking over the job as the sec ond referee of my thesis. He gave very valuable comments and sacrificed his christmas holiday to write the referee report as fast as possible. I also want to thank Prof. Stefan Voigt and Prof. Dr. Reinhold Kosfeld, the other two members of the dissertation committee, for the discussion during the defence of the thesis.