Download or read book Resource Allocation Problems written by Toshihide Ibaraki and published by MIT Press (MA). This book was released on 1988 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a theoretical problem encountered in a variety of areas in operations research and management science, including load distribution, production planning, computer scheduling, portfolio selection, and apportionment. It is a timely and comprehensive summary of the past thirty years of research on algorithmic aspects of the resource allocation problem and its variants, covering Lagrangean multiplier method, dynamic programming, greedy algorithms, and their generalizations. Modern data structures are used to analyze the computational complexity of each algorithm. The resource allocation problem the authors take up is an optimization problem with a single simple constraint: it determines the allocation of a fixed amount of resources to a given number of activities in order to achieve the most effective results. It may be viewed as a special case of the nonlinear programming or nonlinear integer programming problem. Contents: Introduction. Resource Allocation with Continuous Variables. Resource Allocation with Integer Variables. Minimizing a Convex Separable Function. Minimax and Maximin Resource Allocation Problems. Fair Resource Allocation Problem. Apportionment Problem. Fundamentals of Submodular Systems. Resource Allocation Problems under Submodular Constraints. Further Topics on Resource Allocation Problems. Appendixes: Algorithms and Complexity. NP-completeness and NP-hardness. Toshihide lbaraki is Professor in the Department of Applied Mathematics and Physics at Kyoto University and Naoki Katoh is Associate Professor in the Department of Management Science at Kobe University of Commerce. Resource Allocation Problemsis included in the Foundations of Computing Series edited by Michael Garey and Albert Meyer.

Download or read book Optimization Methods for Resource Allocation written by Richard Cottle and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Optimization Methods for Resource Allocation written by Richard Cottle and published by . This book was released on 1974 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Optimization Methods for Resource Allocation written by Richard Cottle and published by . This book was released on 1974 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Optimization Methods for Resource Allocation and Machine Learning Applications written by Kartik Ahuja and published by . This book was released on 2019 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many engineering and machine learning applications, we often encounter optimization problems (e.g., resource allocation, clustering) for which finding the exact solution is computationally intractable. In such problems, ad-hoc approximate solutions are often used, which have no performance guarantees. Our goal is to develop approximate optimization methods with the following features a) provable performance guarantees, and b) computational tractability. In this dissertation, we focus on several challenging problems in resource allocation and machine learning and develop optimization methods for the same. In the first part of this dissertation, we develop optimization methods to solve fundamental resource allocation problems encountered in the design of different systems, namely wireless networks, crowdsourcing systems, and healthcare systems. Dense deployment of heterogeneous small cells (e.g., picocells, femtocells) is becoming the most effective way to combat the exploding demand for the wireless spectrum. Given the large-scale nature of these deployments, developing resource sharing policies using a centralized system can be computationally and communicationally prohibitive. To this end, we propose a general framework for distributed multi-agent resource sharing. We show that the proposed framework significantly outperforms the state-of-the-art. We prove quite general constant factor approximation guarantees with respect to the optimal solutions. Matching platforms for freelancing (e.g., Upwork) are becoming mainstream. These platforms are faced with the challenging task of allocating workers to clients in order to generate maximum revenues, taking into consideration that both sides are self-interested, have limited information about the other, and desire to be matched with the best possible partners. We propose a dynamic matching mechanism that takes these challenges into account and achieves many of the aforesaid properties. Screening plans are used for the early detection of several diseases, such as breast cancer and colon cancer. These screening plans are not personalized to the history and demographics of the subject and can often lead to a delay in the detection of the disease and in other cases cause unnecessary invasive tests such as biopsies. We show that constructing exactly optimal personalized screening plans that minimize the number of screens given a tolerance on the delay is computationally intractable. We develop a framework to solve the proposed problem approximately. We establish general performance guarantees and show that the proposed solution is computationally tractable. We apply the framework to breast cancer screening and establish its utility in comparison to the existing clinical guidelines. In the second part of this dissertation, we develop optimization methods useful for machine learning applications. Machine learning models are increasingly becoming a part of many of the decision making systems, for instance, clinical decision support systems. Many of the machine learning models are hard to interpret and thus are often called "black-box" models. We propose a method that approximates the black-box models using piecewise-linear approximations. This approach helps explain the model using linear models in different regions of the feature space. We provide provable fidelity, i.e., how well does approximation reflect the black-box, guarantees and show that the method is computationally tractable. We carry out experiments on different datasets and establish the utility of our approach. Kullback-Leibler divergence is a fundamental quantity used in many disciplines, such as machine learning, statistics, and information theory. We develop an optimization-based approach to estimate the Kullback-Leibler divergence, which relies on the Donsker-Varadhan representation. The state-of-the-art estimator based on this representation relies on solving a non-convex optimization problem and hence, is not consistent. We propose a convex reformulation to construct an estimator, which we show is consistent. We also carry out experiments to show that the proposed estimator is better than the competing estimator.

Download or read book Effective Resource Management in Manufacturing Systems written by Massimiliano Caramia and published by Springer Science & Business Media. This book was released on 2006-01-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manufacturing systems, regardless of their size, have to work with scarce resources in dynamic environments. Effective Resource Management in Manufacturing Systems aims to provide methods for achieving effective resource allocation and to solve related problems that occur daily and often generate cost overruns. This book will be bought by postgraduate students of business, engineering and computer science as well as researchers in these fields. It will also be of interest to practitioners in manufacturing systems and operations managers in industry.

Download or read book Optimization Methods for User Admissions and Radio Resource Allocation for Multicasting over High Altitude Platforms written by Ahmed Ibrahim and published by CRC Press. This book was released on 2022-09-01 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the issue of optimizing radio resource allocation (RRA) and user admission control (AC) for multiple multicasting sessions on a single high altitude platform (HAP) with multiple antennas on-board. HAPs are quasi-stationary aerial platforms that carry a wireless communications payload to provide wireless communications and broadband services. They are meant to be located in the stratosphere layer of the atmosphere at altitudes in the range 17-22 km and have the ability to fly on demand to temporarily or permanently serve regions with unavailable telecommunications infrastructure. An important requirement that the book focusses on is the development of an efficient and effective method for resource allocation and user admissions for HAPs, especially when it comes to multicasting. Power, frequency, space (antennas selection) and time (scheduling) are the resources considered in the problem over an orthogonal frequency division multiple access (OFDMA) HAP system.Due to the strong dependence of the total number of users that could join different multicast groups, on the possible ways we may allocate resources to these groups, it is of significant importance to consider a joint user to session assignments and RRA across the groups. From the service provider's point of view, it would be in its best interest to be able to admit as many higher priority users as possible, while satisfying their quality of service requirements. High priority users could be users subscribed in and paying higher for a service plan that gives them preference of admittance to receive more multicast transmissions, compared to those paying for a lower service plan. Also, the user who tries to join multiple multicast groups (i.e. receive more than one multicast transmission), would have preferences for which one he would favor to receive if resources are not enough to satisfy the QoS requirements.Technical topics discussed in the book include: • Overview on High Altitude Platforms, their different types and the recent works in this area Radio Resource Allocation and User Admission Control in HAPs  Multicasting in a Single HAP System: System Model and Mathematical Formulation  Optimization schemes that are designed to enhance the performance of a branch and bound technique by taking into account special mathematical structure in the problem formulation

Download or read book Real Time Optimization written by Dominique Bonvin and published by MDPI. This book was released on 2018-07-05 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Real-Time Optimization" that was published in Processes

Download or read book Equitable Resource Allocation written by Hanan Luss and published by John Wiley & Sons. This book was released on 2012-09-11 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique book that specifically addresses equitable resource allocation problems with applications in communication networks, manufacturing, emergency services, and more Resource allocation problems focus on assigning limited resources in an economically beneficial way among competing activities. Solutions to such problems affect people and everyday activities with significant impact on the private and public sectors and on society at large. Using diverse application areas as examples, Equitable Resource Allocation: Models, Algorithms, and Applications provides readers with great insight into a topic that is not widely known in the field. Starting with an overview of the topics covered, the book presents a large variety of resource allocation models with special mathematical structures and provides elegant, efficient algorithms that compute optimal solutions to these models. Authored by one of the leading researchers in the field, Equitable Resource Allocation: Is the only book that provides a comprehensive exposition of equitable resource allocation problems Presents a collection of resource allocation models with applications in communication networks, transportation, content distribution, manufacturing, emergency services, and more Exhibits practical algorithms for solving a variety of resource allocation models Uses real-world applications and examples to explain important concepts Includes end-of-chapter exercises Bringing together much of the equitable resource allocation research from the past thirty years, this book is a valuable reference for anyone interested in solving diverse optimization problems.

Download or read book Interplant Resource Integration written by Chuei-Tin Chang and published by CRC Press. This book was released on 2021-07-04 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interplant Resource Integration: Optimization and Allocation presents an introduction to the planning and implementation methods for interplant resource integration. The analytic tools provided in this book can be used for the tasks of formulating mathematical programming model(s) to maximize the achievable overall savings and also for devising the "fair" distribution scheme(s) to allocate individual financial benefits among the participating plants. Offers tools for gaining economic benefit and environmental friendliness Presents methods for realistically feasible solutions Provides concrete mathematical modeling procedures Familiarizes readers with various network synthesis approaches and shows alternative viewpoints that can be adopted to model the interactions of participating members in an interplant resource integration scheme Aimed at chemical engineers, process engineers, industrial chemists, mechanical engineers in the fields of chemical processing and plant engineering.

Download or read book Application of Optimization Methods for Resource Allocation in Cognitive Radio supported Vehicular Networks written by Joy Chinedu Eze and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Natural Resource Economics written by Jon M. Conrad and published by Cambridge University Press. This book was released on 1987-11-27 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Jon Conrad and Colin Clark develop the theory of resource economics.

Download or read book Fast Distributed Optimization Strategies for Resource Allocation in Networks written by Michael C. Zargham and published by . This book was released on 2014 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many challenges in network science and engineering today arise from systems composed of many individual agents interacting over a network. Such problems range from humans interacting with each other in social networks to computers processing and exchanging information over wired or wireless networks. In any application where information is spread out spatially, solutions must address information aggregation in addition to the decision process itself. Intelligently addressing the trade off between information aggregation and decision accuracy is fundamental to finding solutions quickly and accurately. Network optimization challenges such as these have generated a lot of interest in distributed optimization methods. The field of distributed optimization deals with iterative methods which perform calculations using locally available information. Early methods such as subgradient descent suffer very slow convergence rates because the underlying optimization method is a first order method. My work addresses problems in the area of network optimization and control with an emphasis on accelerating the rate of convergence by using a faster underlying optimization method. In the case of convex network flow optimization, the problem is transformed to the dual domain, moving the equality constraints which guarantee flow conservation into the objective. The Newton direction can be computed locally by using a consensus iteration to solve a Poisson equation, but this requires a lot of communication between neighboring nodes. Accelerated Dual Descent (ADD) is an approximate Newton method, which significantly reduces the communication requirement. Defining a stochastic version of the convex network flow problem with edge capacities yields a problem equivalent to the queue stability problem studied in the backpressure literature. Accelerated Backpressure (ABP) is developed to solve the queue stabilization problem. A queue reduction method is introduced by merging ideas from integral control and momentum based optimization.

Download or read book Optimization Methods for Resource Allocation written by and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Combinatorial Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.

Download or read book Resource Allocation in Multiuser Multicarrier Wireless Systems written by Ian C. Wong and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes a unified algorithmic framework based on dual optimization techniques that have complexities that are linear in the number of subcarriers and users, and that achieve negligible optimality gaps in standards-based numerical simulations. Adaptive algorithms based on stochastic approximation techniques are also proposed, which are shown to achieve similar performance with even much lower complexity. All the algorithms proposed are clearly presented in concise block diagrams allowing the reader to implement these algorithms in the software of their choice. This book is an accessible reference for researchers and industry practitioners alike.

Download or read book Optimal Resource Allocation for Distributed Video Communication written by Yifeng He and published by CRC Press. This book was released on 2013-06-24 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: While most books on the subject focus on resource allocation in just one type of network, this book is the first to examine the common characteristics of multiple distributed video communication systems. Comprehensive and systematic, Optimal Resource Allocation for Distributed Video Communication presents a unified optimization framework for resource allocation across these systems. The book examines the techniques required for optimal resource allocation over Internet, wireless cellular networks, wireless ad hoc networks, and wireless sensor networks. It provides you with the required foundation in video communications, including Peer-to-Peer (P2P) networks, wireless networks, and visual sensor networks. Whether you’re in industry or academia, you’ll value how the book outlines current challenges facing the field and outlines a general solution framework for addressing these challenges. From problem formulations and theoretical analysis to practical algorithms, it facilitates the comprehensive understanding required to achieve optimized video and multimedia communications. Presents the resource allocation techniques for scalable video communications over Internet or wireless networks Examines two resource allocation problems—distributed throughput maximization for scalable P2P Video-on-Demand (VoD) systems and streaming capacity for P2P VoD systems Outlines an optimal prefetching framework for reducing seeking delays in P2P VoD applications Examines distributed optimization techniques for unicast and multicast video streaming over wireless ad hoc networks Considers the network lifetime maximization problem in wireless visual sensor networks Detailing methods that can immediately improve the performance of your video communication systems, this book presents multiple applications of optimal resource allocation. For each of the applications, the authors present the problem formulation, the distributed algorithm, and the simulation results.