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Showing 85,901 through 85,925 of 100,000 results

Dynamic Secrets in Communication Security

by Sheng Xiao Weibo Gong Don Towsley

Dynamic secrets are constantly generated and updated from messages exchanged between two communication users. When dynamic secrets are used as a complement to existing secure communication systems, a stolen key or password can be quickly and automatically reverted to its secret status without disrupting communication. "Dynamic Secrets in Communication Security" presents unique security properties and application studies for this technology. Password theft and key theft no longer pose serious security threats when parties frequently use dynamic secrets. This book also illustrates that a dynamic secret based security scheme guarantees impersonation attacks are detected even if an adversary steals a user’s password or their key is lost. Practitioners and researchers working in network security or wireless communications will find this book a must-have reference. "Dynamic Secrets in Communication Security" is also a valuable secondary text for advanced-level students in computer science and electrical engineering.

Dynamic Scenarios in Two-State Quantum Dot Lasers: Excited State Lasing, Ground State Quenching, and Dual-Mode Operation (BestMasters)

by André Röhm

André Röhm investigates the dynamic properties of two-state lasing quantum dot lasers, with a focus on ground state quenching. With a novel semi-analytical approach, different quenching mechanisms are discussed in an unified framework and verified with numerical simulations. The known results and experimental findings are reproduced and parameter dependencies are systematically studied. Additionally, the turn-on dynamics and modulation response curves of two-state lasing devices are presented.

Dynamic Routing in Broadband Networks (Broadband Networks and Services #3)

by Marco Conte

Dynamic Routing in Broadband Networks focuses on routing in broadband networks based on MPLS (Multiprotocol Label Switching) and ATM (Asynchronous Transfer Mode). The routing methods are based on the theory of Markov decision processes which forms a very accurate framework for on-line route optimization. The author shows the issue of performance optimization and scalability with respect to dynamic routing of logical connections in broadband networks. The methods used are applicable to routing virtual path connections (VPC) and virtual channel connections (VCC) in ATM networks as well as label switched paths (LSP) in MPLS networks. Simulation results and a performance comparison with reference routing are given for the different schemes.

Dynamic Risk Assessment: The Practical Guide to Making Risk-Based Decisions with the 3-Level Risk Management Model

by Stephen Asbury Edmund Jacobs

Dynamic Risk Assessment is the key tool to support a holistic risk management framework. This book aims to help employers, managers and staff alike to understand how they can effectively integrate dynamic risk assessment into business management processes and systems to improve safety. With tips, examples and solutions throughout, this multi-disciplinary text delivers an effective and comprehensive approach to help you to understand how dynamic risk assessment (DRA) can be integrated into predictive (PRA) and strategic risk assessments (SRA) to enhance your organization’s effectiveness. The 3-Level Risk Management Model fully supports and complements the systematic ‘five steps to risk assessment’ process A multi-disciplinary approach to dynamic risk assessment that covers workers operating in teams and those working alone within the public, private and third sectors Contains practical examples, tips and case studies drawn from a wide range of organizations The book comes with access to downloadable materials from an accompanying website at: www.routledge.com/cw/dynamic-risk-assessment

Dynamic Risk Assessment: The Practical Guide to Making Risk-Based Decisions with the 3-Level Risk Management Model

by Stephen Asbury Edmund Jacobs

Dynamic Risk Assessment is the key tool to support a holistic risk management framework. This book aims to help employers, managers and staff alike to understand how they can effectively integrate dynamic risk assessment into business management processes and systems to improve safety. With tips, examples and solutions throughout, this multi-disciplinary text delivers an effective and comprehensive approach to help you to understand how dynamic risk assessment (DRA) can be integrated into predictive (PRA) and strategic risk assessments (SRA) to enhance your organization’s effectiveness. The 3-Level Risk Management Model fully supports and complements the systematic ‘five steps to risk assessment’ process A multi-disciplinary approach to dynamic risk assessment that covers workers operating in teams and those working alone within the public, private and third sectors Contains practical examples, tips and case studies drawn from a wide range of organizations The book comes with access to downloadable materials from an accompanying website at: www.routledge.com/cw/dynamic-risk-assessment

Dynamic Response of Pre-Stressed Spatially Curved Thin-Walled Beams of Open Profile (SpringerBriefs in Applied Sciences and Technology)

by Yury A. Rossikhin Marina Shitikova

This short book analyses the dynamic stability with respect to small perturbations, as well as the local damage of geometrically nonlinear elastic, spatially curved, open section beams with axial precompression. Transient waves, which are the surfaces of strong discontinuity and wherein the stress and strain fields experience discontinuities, are used as small perturbations; in so doing the discontinuities are considered to be of small magnitude. Such waves are initiated during low-velocity impacts upon thin-walled beams. The theory of discontinuities and the method of ray expansions which allow one to find the desired fields behind the fronts of the transient waves in terms of discontinuities in time-derivatives of the values to be found, are used as the methods of solution for short-time dynamic processes. The example of using the ray expansions for analyzing the impact response of spatially curved thin-walled beams of open profile is demonstrated by solving the problem about the normal impact of an elastic hemispherical-nosed rod upon an elastic arch representing itself a channel-beam curved along an arc of the circumference. The influence of the initial stresses on the dynamic fields has been investigated.

Dynamic Response of Linear Mechanical Systems: Modeling, Analysis and Simulation (Mechanical Engineering Series)

by Jorge Angeles

Dynamic Response of Linear Mechanical Systems: Modeling, Analysis and Simulation can be utilized for a variety of courses, including junior and senior-level vibration and linear mechanical analysis courses. The author connects, by means of a rigorous, yet intuitive approach, the theory of vibration with the more general theory of systems. The book features:A seven-step modeling technique that helps structure the rather unstructured process of mechanical-system modelingA system-theoretic approach to deriving the time response of the linear mathematical models of mechanical systemsThe modal analysis and the time response of two-degree-of-freedom systems—the first step on the long way to the more elaborate study of multi-degree-of-freedom systems—using the Mohr circleSimple, yet powerful simulation algorithms that exploit the linearity of the system for both single- and multi-degree-of-freedom systemsExamples and exercises that rely on modern computational toolboxes for both numerical and symbolic computations as well as a Solutions Manual for instructors, with complete solutions of a sample of end-of-chapter exercisesChapters 3 and 7, on simulation, include in each “Exercises” section a set of miniprojects that require code-writing to implement the algorithms developed in these chapters

Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations (Lecture Notes in Applied and Computational Mechanics #11)

by Kolumban Hutter Nina Kirchner

A "Sonderforschungsbereich" (SFB) is a programme of the "Deutsche For­ schungsgemeinschaft" to financially support a concentrated research effort of a number of scientists located principally at one University, Research La­ boratory or a number of these situated in close proximity to one another so that active interaction among individual scientists is easily possible. Such SFB are devoted to a topic, in our case "Deformation and Failure in Metallic and Granular M aterialK' , and financing is based on a peer reviewed proposal for three (now four) years with the intention of several prolongations after evaluation of intermediate progress and continuation reports. An SFB is terminated in general by a formal workshop, in which the state of the art of the achieved results is presented in oral or I and poster communications to which also guests are invited with whom the individual project investigators may have collaborated. Moreover, a research report in book form is produced in which a number of articles from these lectures are selected and collected, which present those research results that withstood a rigorous reviewing pro­ cess (with generally two or three referees). The theme deformation and failure of materials is presented here in two volumes of the Lecture Notes in Applied and Computational Mechanics by Springer Verlag, and the present volume is devoted to granular and porous continua. The complementary volume (Lecture Notes in Applied and Com­ putational Mechanics, vol. 10, Eds. K. HUTTER & H.

Dynamic Response of Advanced Ceramics

by Ghatu Subhash Amnaya Awasthi Dipankar Ghosh

Dynamic Response of Advanced Ceramics Discover fundamental concepts and recent advances in experimental, analytical, and computational research into the dynamic behavior of ceramicsIn Dynamic Response of Advanced Ceramics, an accomplished team of internationally renowned researchers delivers a comprehensive exploration of foundational and advanced concepts in experimental, analytical, and computational aspects of the dynamic behavior of advanced structural ceramics and transparent materials. The book discusses new techniques used for determination of dynamic hardness and dynamic fracture toughness, as well as edge-on-impact experiments for imaging evolving damage patterns at high impact velocities.The authors also include descriptions of the dynamic deformation behavior of icosahedral ceramics and the dynamic behavior of several transparent materials, like chemically strengthened glass and glass ceramics. The developments discussed within the book have applications in everything from high-speed machining to cutting, grinding, and blast protection.Readers will also benefit from a presentation of emerging trends and directions in research on this subject as well as current challenges in experimental and computational domains, including:An introduction to the history of ceramic materials and their dynamic behavior, including examples of material response to high-strain-rate loadingAn exploration of high-strain-rate experimental techniques, like 1D elastic stress-wave propagation techniques, shock waves, and impact testingDiscussions of the static and dynamic responses of ceramics and the shock response of brittle solidsAn overview of deformation mechanisms during projectile impact on a confined ceramic, including damage evolution during the nonpenetration and penetration phases.Perfect for researchers, scientists, and engineers working on ballistic impact and shock response of brittle materials, Dynamic Response of Advanced Ceramics will also earn a place in the libraries of industry personnel studying impact-resistant solutions for a variety of applications.

Dynamic Response of Advanced Ceramics

by Ghatu Subhash Amnaya Awasthi Dipankar Ghosh

Dynamic Response of Advanced Ceramics Discover fundamental concepts and recent advances in experimental, analytical, and computational research into the dynamic behavior of ceramicsIn Dynamic Response of Advanced Ceramics, an accomplished team of internationally renowned researchers delivers a comprehensive exploration of foundational and advanced concepts in experimental, analytical, and computational aspects of the dynamic behavior of advanced structural ceramics and transparent materials. The book discusses new techniques used for determination of dynamic hardness and dynamic fracture toughness, as well as edge-on-impact experiments for imaging evolving damage patterns at high impact velocities.The authors also include descriptions of the dynamic deformation behavior of icosahedral ceramics and the dynamic behavior of several transparent materials, like chemically strengthened glass and glass ceramics. The developments discussed within the book have applications in everything from high-speed machining to cutting, grinding, and blast protection.Readers will also benefit from a presentation of emerging trends and directions in research on this subject as well as current challenges in experimental and computational domains, including:An introduction to the history of ceramic materials and their dynamic behavior, including examples of material response to high-strain-rate loadingAn exploration of high-strain-rate experimental techniques, like 1D elastic stress-wave propagation techniques, shock waves, and impact testingDiscussions of the static and dynamic responses of ceramics and the shock response of brittle solidsAn overview of deformation mechanisms during projectile impact on a confined ceramic, including damage evolution during the nonpenetration and penetration phases.Perfect for researchers, scientists, and engineers working on ballistic impact and shock response of brittle materials, Dynamic Response of Advanced Ceramics will also earn a place in the libraries of industry personnel studying impact-resistant solutions for a variety of applications.

Dynamic Response and Failure of Composite Materials: DRAF 2022 (Lecture Notes in Mechanical Engineering)

by Valentina Lopresto Ilaria Papa Antonio Langella

This book gathers the latest advances and innovations in the field of dynamic loads and testing of composite materials and sandwich structures, as presented by international researchers and engineers at the International Symposium on Dynamic Response and Failure of Composite Materials (DRAF), held in Ischia, Italy, on June 21–24, 2022. Contributions include a wide range of topics such as low and high velocity impacts, smart composites, hull slamming, shock and blast, hail and bird impact, damage resistance and tolerance, failure mechanisms, composite structures, delamination and fractures, progressive damage modeling, micromechanics, ballistic impacts, ceramic and CMC, auxetic materials and structures, additive manufacturing, crashworthiness, green composites, and structural health monitoring.

Dynamic Response and Deformation Characteristic of Saturated Soft Clay under Subway Vehicle Loading (Springer Environmental Science and Engineering)

by Yiqun Tang Jie Zhou Xingwei Ren Qi Yang

Involving several areas of geological engineering, geotechnical engineering and tunnel engineering, this book describes the soft soil deformation characteristics and dynamic responses induced by subway vibration load. Based on field monitoring and laboratory testing data, with both comprehensive micro-and macroanalysis, the authors present dynamic characteristics and deformation settlement of saturated soft clay surrounding subway tunnels using dynamic and static methodology. Mechanism of deformation, failure in microstructure of soft clay soil, dynamic response, macro deformation and settlement are all discussed and analyzed thoroughly and systematically. Some of the research findings in this book have been widely applied by large subway companies and will have broader application prospects in future. All the above make this book a valuable reference not only for technical engineers working in subway design or construction but also for advanced graduate students. Prof. Yiqun Tang works at the Department of Geotechnical Engineering, Tongji University, Shanghai, China.

Dynamic Resource Management in Service-Oriented Core Networks (Wireless Networks)

by Weihua Zhuang Kaige Qu

This book provides a timely and comprehensive study of dynamic resource management for network slicing in service-oriented fifth-generation (5G) and beyond core networks. This includes the perspective of developing efficient computation resource provisioning and scheduling solutions to guarantee consistent service performance in terms of end-to-end (E2E) data delivery delay. Network slicing is enabled by the software defined networking (SDN) and network function virtualization (NFV) paradigms. For a network slice with a target traffic load, the E2E service delivery is enabled by virtual network function (VNF) placement and traffic routing with static resource allocations. When data traffic enters the network, the traffic load is dynamic and can deviate from the target value, potentially leading to QoS performance degradation and network congestion. Data traffic has dynamics in different time granularities. For example, the traffic statistics (e.g., mean and variance) can be non-stationary and experience significant changes in a coarse time granularity, which are usually predictable. Within a long time duration with stationary traffic statistics, there are traffic dynamics in small timescales, which are usually highly bursty and unpredictable. To provide continuous QoS performance guarantee and ensure efficient and fair operation of the network slices over time, it is essential to develop dynamic resource management schemes for the embedded services in the presence of traffic dynamics during virtual network operation. Queueing theory is used in system modeling, and different techniques including optimization and machine learning are applied to solving the dynamic resource management problems.Based on a simplified M/M/1 queueing model with Poisson traffic arrivals, an optimization model for flow migration is presented to accommodate the large-timescale changes in the average traffic rates with average E2E delay guarantee, while addressing a trade-off between load balancing and flow migration overhead. To overcome the limitations of Poisson traffic model, the authors present a machine learning approach for dynamic VNF resource scaling and migration. The new solution captures the inherent traffic patterns in a real-world traffic trace with non-stationary traffic statistics in large timescale, predicts resource demands for VNF resource scaling, and triggers adaptive VNF migration decision making, to achieve load balancing, migration cost reduction, and resource overloading penalty suppression in the long run. Both supervised and unsupervised machine learning tools are investigated for dynamic resource management. To accommodate the traffic dynamics in small time granularities, the authors present a dynamic VNF scheduling scheme to coordinate the scheduling among VNFs of multiple services, which achieves network utility maximization with delay guarantee for each service. Researchers and graduate students working in the areas of electrical engineering, computing engineering and computer science will find this book useful as a reference or secondary text. Professionals in industry seeking solutions to dynamic resource management for 5G and beyond networks will also want to purchase this book.

Dynamic Reconfiguration in Real-Time Systems: Energy, Performance, and Thermal Perspectives (Embedded Systems #4)

by Weixun Wang Prabhat Mishra Sanjay Ranka

Given the widespread use of real-time multitasking systems, there are tremendous optimization opportunities if reconfigurable computing can be effectively incorporated while maintaining performance and other design constraints of typical applications. The focus of this book is to describe the dynamic reconfiguration techniques that can be safely used in real-time systems. This book provides comprehensive approaches by considering synergistic effects of computation, communication as well as storage together to significantly improve overall performance, power, energy and temperature.

Dynamic Reconfigurable Architectures and Transparent Optimization Techniques: Automatic Acceleration of Software Execution

by Antonio Carlos Beck Fl. Luigi Carro

Dynamic Reconfigurable Architectures and Transparent Optimization Techniques presents a detailed study on new techniques to cope with the aforementioned limitations. First, characteristics of reconfigurable systems are discussed in details, and a large number of case studies is shown. Then, a detailed analysis of several benchmarks demonstrates that such architectures need to attack a diverse range of applications with very different behaviours, besides supporting code compatibility. This requires the use of dynamic optimization techniques, such as Binary Translation and Trace reuse. Finally, works that combine both reconfigurable systems and dynamic techniques are discussed and a quantitative analysis of one them, the DIM architecture, is presented.

Dynamic RAM: Technology Advancements

by Muzaffer A. Siddiqi

Because of their widespread use in mainframes, PCs, and mobile audio and video devices, DRAMs are being manufactured in ever increasing volume, both in stand-alone and in embedded form as part of a system on chip. Due to the optimum design of their components—access transistor, storage capacitor, and peripherals—DRAMs are the cheapest and densest semiconductor memory currently available. As a result, most of DRAM structure research and development focuses on the technology used for its constituent components and their interconnections. However, only a few books are available on semiconductor memories in general and fewer on DRAMs. Dynamic RAM: Technology Advancements provides a holistic view of the DRAM technology with a systematic description of the advancements in the field since the 1970s, and an analysis of future challenges. Topics Include: DRAM cells of all types, including planar, three-dimensional (3-D) trench or stacked, COB or CUB, vertical, and mechanically robust cells using advanced transistors and storage capacitors Advancements in transistor technology for the RCAT, SCAT, FinFET, BT FinFET, Saddle and advanced recess type, and storage capacitor realizations How sub 100 nm trench DRAM technologies and sub 50 nm stacked DRAM technologies and related topics may lead to new research Various types of leakages and power consumption reduction methods in active and sleep mode Various types of SAs and yield enhancement techniques employing ECC and redundancy A worthwhile addition to semiconductor memory research, academicians and researchers interested in the design and optimization of high-density and cost-efficient DRAMs may also find it useful as part of a graduate-level course.

Dynamic RAM: Technology Advancements

by Muzaffer A. Siddiqi

Because of their widespread use in mainframes, PCs, and mobile audio and video devices, DRAMs are being manufactured in ever increasing volume, both in stand-alone and in embedded form as part of a system on chip. Due to the optimum design of their components—access transistor, storage capacitor, and peripherals—DRAMs are the cheapest and densest semiconductor memory currently available. As a result, most of DRAM structure research and development focuses on the technology used for its constituent components and their interconnections. However, only a few books are available on semiconductor memories in general and fewer on DRAMs. Dynamic RAM: Technology Advancements provides a holistic view of the DRAM technology with a systematic description of the advancements in the field since the 1970s, and an analysis of future challenges. Topics Include: DRAM cells of all types, including planar, three-dimensional (3-D) trench or stacked, COB or CUB, vertical, and mechanically robust cells using advanced transistors and storage capacitors Advancements in transistor technology for the RCAT, SCAT, FinFET, BT FinFET, Saddle and advanced recess type, and storage capacitor realizations How sub 100 nm trench DRAM technologies and sub 50 nm stacked DRAM technologies and related topics may lead to new research Various types of leakages and power consumption reduction methods in active and sleep mode Various types of SAs and yield enhancement techniques employing ECC and redundancy A worthwhile addition to semiconductor memory research, academicians and researchers interested in the design and optimization of high-density and cost-efficient DRAMs may also find it useful as part of a graduate-level course.

Dynamic Quality Management for Cloud Labor Services: Methods and Applications for Gaining Reliable Work Results with an On-Demand Workforce (Lecture Notes in Business Information Processing #192)

by Robert Kern

How can a scalable and efficient quality management mechanism for cloud labor services be designed in a way that it delivers results with a well-defined level of quality to the requester?Cloud labor services are a specific form of crowdsourcing: A coordination platform serves as an interface between requesters who need to get work done and a large crowd of workers who want to perform work. An early example of such a platform is Amazon’s Web marketplace Mturk, on which service requesters can publish open calls for so-called human intelligence tasks (HITs).Robert Kern’s work makes a considerable contribution toward solving the quality problem for scalable human work. On the basis of a comprehensive framework of cloud labor, he develops a set of methods to conceptually measure and aggregate the quality of human work results, implements a platform to put those methods to work, and evaluates their application in a number of very compelling, real-world scenarios successfully combining concepts from statistics, information technology, and management. Reading this book will be beneficial to novices in cloud labor services looking for orientation in this new field as well as to advanced researchers and practitioners developing cloud quality concepts.

Dynamic Pulse Buckling: Theory and Experiment (Mechanics of Elastic Stability #12)

by H.E. Lindberg A.L. Florence

This book originally appeared as a text prepared for the Defense Nuclear Agency to summarize research on dynamic pulse buckling, by the authors and their colleagues at SRI International, during the period from 1960 to 1980. The original printing of 300 copies by the DNA Press was followed shortly by a small second printing to meet the demand by readers who heard of the book from the primary recipients. This supply was also quickly exhausted, to researchers and practicing engineers outside the DNA community and to academics who wanted to include the material in courses on elastic and plastic stability of structures. Commercial publication by Martinus Nijhoff Publishers was therefore undertaken to meet the needs of this broader community. The objective of the book was to gather into a cohesive whole material that had been published in reports and the open literature during the two decade period. In the process of knitting this material together, a substantial amount of new work was done. The book therefore contains many new results never published in the open literature.

The Dynamic Progress Method: Using Advanced Simulation to Improve Project Planning and Management

by J. Chris White Robert M. Sholtes

Recent computer-based tools for project planning and management focus on user-friendliness and interconnectivity. However, these programs function on the Critical Path Method, or CPM, which was created in the 1950s. These programs, which involve simplistic models and methods, ignore the fact that the underlying computations on which they function h

The Dynamic Progress Method: Using Advanced Simulation to Improve Project Planning and Management

by J. Chris White Robert M. Sholtes

Recent computer-based tools for project planning and management focus on user-friendliness and interconnectivity. However, these programs function on the Critical Path Method, or CPM, which was created in the 1950s. These programs, which involve simplistic models and methods, ignore the fact that the underlying computations on which they function h

Dynamic Programming Multi-Objective Combinatorial Optimization (Studies in Systems, Decision and Control #331)

by Michal Mankowski Mikhail Moshkov

This book introduces a fairly universal approach to the design and analysis of exact optimization algorithms for multi-objective combinatorial optimization problems. It proposes the circuits without repetitions representing the sets of feasible solutions along with the increasing and strictly increasing cost functions as a model for such problems. The book designs the algorithms for multi-stage and bi-criteria optimization and for counting the solutions in the framework of this model.As applications, this book studies eleven known combinatorial optimization problems: matrix chain multiplication, global sequence alignment, optimal paths in directed graphs, binary search trees, convex polygon triangulation, line breaking (text justification), one-dimensional clustering, optimal bitonic tour, segmented least squares, optimization of matchings in trees, and 0/1 knapsack problem.The results presented are useful for researchers in combinatorial optimization. This book is also useful as the basis for graduate courses.

Dynamic Programming for Impulse Feedback and Fast Controls: The Linear Systems Case (Lecture Notes in Control and Information Sciences #468)

by Alexander B. Kurzhanski Alexander N. Daryin

Dynamic Programming for Impulse Feedback and Fast Controls offers a description of feedback control in the class of impulsive inputs. This book deals with the problem of closed-loop impulse control based on generalization of dynamic programming techniques in the form of variational inequalities of the Hamilton–Jacobi–Bellman type. It provides exercises and examples in relation to software, such as techniques for regularization of ill-posed problems. It also gives an introduction to applications such as hybrid dynamics, control in arbitrary small time, and discontinuous trajectories.This book walks the readers through:the design and description of feedback solutions for impulse controls;the explanation of impulses of higher order that are derivatives of delta functions;the description of their physically realizable approximations - the fast controls and their approximations;the treatment of uncertainty in impulse control and the applications of impulse feedback. Of interest to both academics and graduate students in the field of control theory and applications, the book also protects users from common errors , such as inappropriate solution attempts, by indicating Hamiltonian techniques for hybrid systems with resets.

Dynamic Programming

by Richard Bellman

An introduction to the mathematical theory of multistage decision processes, this text takes a "functional equation" approach to the discovery of optimum policies. Written by a leading developer of such policies, it presents a series of methods, uniqueness and existence theorems, and examples for solving the relevant equations. The text examines existence and uniqueness theorems, the optimal inventory equation, bottleneck problems in multistage production processes, a new formalism in the calculus of variation, strategies behind multistage games, and Markovian decision processes. Each chapter concludes with a problem set that Eric V. Denardo of Yale University, in his informative new introduction, calls "a rich lode of applications and research topics." 1957 edition. 37 figures.

Dynamic Programming: A Computational Tool (Studies in Computational Intelligence #38)

by Art Lew Holger Mauch

This book provides a practical introduction to computationally solving discrete optimization problems using dynamic programming. From the examples presented, readers should more easily be able to formulate dynamic programming solutions to their own problems of interest. We also provide and describe the design, implementation, and use of a software tool that has been used to numerically solve all of the problems presented earlier in the book.

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