Bei diesem Buch handelt es sich tatsachlich um "Lecture Notes." Das Manuskript ist aus Vorlesungen Uber Wachstumstheorie entstanden, die ich im Wintersemester 1966/67 und im Wintersemester 1969/70 an der Universitat Bonn gehalten habe, das erste Mal fUr Student en hoherer Semester, das zweite Mal im Rahmen des Grundstudiums. FUr jede Vor lesungsstunde wurden handschriftliche Notizen mit den Grundthesen und allen mathematischen Ableitungen (also "Original-Lecture Notes") ver vielfaltigt an die Student en ausgegeben. Auf Grund dieser Notizen haben Herr Gabisch und ich unter Mitarbeit von Herrn...

At present, there is considerable interest in supercritical wing technology for the development of aircraft designed to fly near the speed of sound. The basic principle is the suppression of boundary layer separation by shifting the shock waves that occur on the wing toward the trailing edge and making them as weak as possible. The purpose of this report is to make available to the engineering public mathematical methods for the design of supercritical wings. These methods depend on the numerical solution of the partial differential equations of two-dimensional gas dynamics. The main...

The intent of these notes is to provide an appreciation of sequencing theory, and to develop an awareness of the combinatorial aspects of sequencing problems. An under standing of the ideas and concepts presented in these notes will provide the necessary background to enable further study in this rapidly growing subject. These notes have been used as a part of one-semester C0urses in Operations Research for both senior and first-year graduate students. Following the introductory chapter, several classes of scheduling models are discussed in Chapter 2. Chapter 3 is devoted to discussing the...

Das vorliegende Heft der Lecture Notes in Operations Research and Mathematical Systems ist der zweite Teil einer Darstellu g der Konsum und Produktionstheorie Die Ausarbeitung wurde in Anlehnung an Vor lesungen uber Mikrookonomische Theorie verfaBt. Der zweite Band enthalt die Produktionstheorie. Im Abschnitt 9 werden aus einleuchtenden Eigenschaften der Menge zulassiger Produktionsver fahren notwendige und hinreichende Bedingungen fur die Existenz steti ger Produktionsfunktionen hergeleitet. Der Abschnitt 10 entha t eine Charakterisierung von Substitu ionsgebieten mit Hilfe der Differenzier...

This monograph is a revised set of notes on recent applications of the theory of cones, arising from lectures I gave during my stay at the Centre de recherches mathematiques in Montreal. It consists of three chapters. The first describes the basic theory. The second is devoted to applications to mathematical programming and the third to matrix theory. The second and third chapters are independent. Natural links between them, such as mathematical programming over matrix cones, are only mentioned in passing. The choice of applications described in this paper is a reflection of my p-r9onal...

Paolo Bisogno and Augusto Forti Taking an interest in the future is among the most instinctive Conscious of the existence of time as well as of human activities. space, man has always tried to guess what the future holds. Until recently scholars have left the field of speculation to the pseudo sciences of astrology and palmistry or to the ambiguities of the oracles. Imaginative writers have made some brilliant contributions, but the development of mathematical modelling and other predictive techniques are relatively recent arrivals. The new techniques have come at just the right moment. Today...

If one takes the intuitive point of view that a system is a black box whose inputs and outputs are time functions or time series it is natural to adopt an operator theoretic approach to the stUdy of such systems. Here the black box is modeled by an operator which maps an input time function into an output time function. Such an approach yields a unification of the continuous (time function) and discrete (time series) theories and simultaneously allows one to formulate a single theory which is valid for time-variable distributed and nonlinear systems. Surprisingly, however, the great potential...

This book is an outgrowth of a graduate course by the same title given at UCLA (System Science Department). presenting a Functional Analysis approach to Stochastic Filtering and Control Problems. As the writing progressed. several new points of view were developed and as a result the present work is more in the nature of a monograph on the subject than a distilled compendium of extant works. The subject of this volume is at the heart of the most used part of modern Control Theory - indeed. the bread-and-butter part. It includes the Linear (Bucy-Kalman) Filter Theory. the Feedback Control...

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For many stochastic service systems, service capacities large enough to serve some given customer demand is achieved simply by providing multiple servers of low capacity; for example, toll plazas have many toll collectors, banks have many t- lers, bus lines have many buses, etc. If queueing exists and the typical queue size is large compared with the number n of servers, all servers are kept busy most of the time and the service behaves like some "effective" single server wit: l mean se.- vice time lin times that of an actual server. The behavior of the queueing system can be described, at...