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The COVID-19 pandemic has vividly and dramatically demonstrated the importance of supply chains to the functioning of societies and our economies. The discussion in this timely book explores prominent issues concerning supply chain networks and labor. The readership is aimed to include students, researchers, practitioners, and policy-makers, interested in the wide range of topics presented in these pages. Labor has a particular focus as the driver behind supply chains, whether associated with food products, life-saving medicines and supplies, or high tech products that make innovation possible, just to name a few. The impacts of policy interventions, in the form of wage bounds, and their ramifications, in terms of volume of attracted labor, product prices, product volumes, as well as profits, are explored. Profit-maximizing firms are considered (with relevant associated issues such as waste management in the case of the food sector, for example), but also non-profits, as in blood services, as well as humanitarian organizations engaged in disaster relief. The book is filled with many network figures, graphs, and tables with data, both input and output and includes an appendix that provides the foundations of the underlying mathematical methodologies used. The book offers strong evidence for the need to provide a holistic, system-wide perspective for the modeling, analysis, and solution of supply chain problems with the inclusion of the critical labor resources. A formalism using the prism of supply chain networks, which yields a graphic representation of supply chains, consisting of multiple stakeholders, is constructed. Models that capture the behaviors and interactions of single decision-makers as well as multiple decision-makers engaged in supply chain activities of production, transportation, storage, and distribution, are considered. The models capture many realistic constraints faced by firms today, as they seek to produce and deliver products, while dealing with competition, various constraints on labor, a variety of disruptions, labor shortages, challenges associated with proper wage-determination, plus the computation of optimal investments in labor productivity subject to budget constraints. The book provides prescriptive suggestions in terms of how to ameliorate negative impacts of labor disruptions and demonstrate benefits of appropriate wage determination.

Economics --- Numerical methods of optimisation --- Operational research. Game theory --- Physical distribution --- Business management --- Computer. Automation --- intern transport --- SCM (supply chain management) --- automatisering --- economie --- wiskunde --- Economics, Mathematical. --- Labor economics. --- Economia matemàtica --- Economia del treball

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This book is devoted to the study of classes of optimal control problems arising in economic growth theory, related to the Robinson–Solow–Srinivasan (RSS) model. The model was introduced in the 1960s by economists Joan Robinson, Robert Solow, and Thirukodikaval Nilakanta Srinivasan and was further studied by Robinson, Nobuo Okishio, and Joseph Stiglitz. Since then, the study of the RSS model has become an important element of economic dynamics. In this book, two large general classes of optimal control problems, both of them containing the RSS model as a particular case, are presented for study. For these two classes, a turnpike theory is developed and the existence of solutions to the corresponding infinite horizon optimal control problems is established. The book contains 9 chapters. Chapter 1 discusses turnpike properties for some optimal control problems that are known in the literature, including problems corresponding to the RSS model. The first class of optimal control problems is studied in Chaps. 2–6. In Chap. 2, infinite horizon optimal control problems with nonautonomous optimality criteria are considered. The utility functions, which determine the optimality criterion, are nonconcave. This class of models contains the RSS model as a particular case. The stability of the turnpike phenomenon of the one-dimensional nonautonomous concave RSS model is analyzed in Chap. 3. The following chapter takes up the study of a class of autonomous nonconcave optimal control problems, a subclass of problems considered in Chap. 2. The equivalence of the turnpike property and the asymptotic turnpike property, as well as the stability of the turnpike phenomenon, is established. Turnpike conditions and the stability of the turnpike phenomenon for nonautonomous problems are examined in Chap. 5, with Chap. 6 devoted to the study of the turnpike properties for the one-dimensional nonautonomous nonconcave RSS model. The utility functions, which determine the optimality criterion, are nonconcave. The class of RSS models is identified with a complete metric space of utility functions. Using the Baire category approach, the turnpike phenomenon is shown to hold for most of the models. Chapter 7 begins the study of the second large class of autonomous optimal control problems, and turnpike conditions are established. The stability of the turnpike phenomenon for this class of problems is investigated further in Chaps. 8 and 9. .

Mathematical optimization. --- Continuous Optimization. --- Optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Economics, Mathematical --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Methodology --- Optimització matemàtica --- Economia matemàtica --- Matemàtica econòmica --- Mètodes de simulació --- Jocs d'estratègia (Matemàtica) --- Optimització combinatòria --- Programació dinàmica --- Programació (Matemàtica) --- Anàlisi de sistemes

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This book examines the critical roles and effects of mathematics education. The exposition draws from the author’s forty-year mathematics career, integrating his research in the psychology of mathematical thinking into an overview of the true definition of math. The intention for the reader is to undergo a “corrective” experience, obtaining a clear message on how mathematical thinking tools can help all people cope with everyday life. For those who have struggled with math in the past, the book also aims to clarify that math learning difficulties are likely a result of improper pedagogy as opposed to any lack of intelligence on the part of the student. This personal treatise will be of interest to a variety of readers, from mathematics teachers and those who train them to those with an interest in education but who may lack a solid math background.

Matemáticas --- Ciencias sociales --- Estudio y enseñanza --- Antropología cultural y social --- Ciencias de la conducta --- Demografía --- Derecho --- Economía --- Estadística --- Gerontología --- Pedagogía --- Política --- Sociología --- Comunicación --- Ciencias --- Álgebra --- Análisis matemático --- Aritmética --- Etnomatemáticas --- Geometría --- Matemáticas financieras --- Matemáticas recreativas --- Números --- Teoremas de reciprocidad --- Certámenes matemáticos --- Dinámica --- Discalculia --- Economía matemática --- Estadística matemática --- Estática --- Geografía matemática --- Lógica matemática --- Método ABN --- Aritmética --- Geometría --- Método ABN --- Estudio y enseñanza --- Matemáticas --- Matemáticas recreativas --- Profesores de matemáticas --- Didáctica --- Enseñanza --- Estudio --- Método --- Currículo educativo

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This text provides an accessible introduction to the classical mathematical underpinnings of modern finance. Professor Björk concentrates on the probabilistic theory of continuous arbitrage pricing of financial derivatives.

Arbitrage. --- Arbitrage --- Arbitrage - Mathematical models --- Derivative securities - Mathematical models --- Securities --- Speculation --- Law and legislation --- Arbitratge (Borsa) --- Economia matemàtica --- Integrals estocàstiques --- Teoria de control --- Actius financers derivats --- Models economètrics --- Models matemàtics --- Martingales (Matemàtica) --- Processos estocàstics --- Càlcul estocàstic --- Funcions aleatòries --- Processos aleatoris --- Probabilitats --- Anàlisi estocàstica --- Aproximació estocàstica --- Camps aleatoris --- Filtre de Kalman --- Fluctuacions (Física) --- Mètode de Montecarlo --- Processos de Markov --- Processos de ramificació --- Processos gaussians --- Processos puntuals --- Rutes aleatòries (Matemàtica) --- Semimartingales (Matemàtica) --- Sistemes estocàstics --- Teoremes de límit (Teoria de probabilitats) --- Teoria de cues --- Teoria de l'estimació --- Teoria de la predicció --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Modelització multiescala --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Models econòmics --- Econometria --- Actius derivats (Finances) --- Derivats financers --- Instruments derivats (Finances) --- Instruments financers derivats --- Nous instruments financers --- Nous productes financers --- Productes financers derivats --- Finances --- Valors --- Futurs financers --- Opcions (Finances) --- Swaps --- Control (Matemàtica) --- Control òptim --- Regulació --- Control automàtic --- Sistemes de control biològic --- Integració estocàstica --- Matemàtica econòmica --- Arbitratge (Economia) --- Arbitratge (Finances) --- Abritratge financer --- Borsa de valors --- Especulació --- Derivative securities