Download or read book Optimizing Resource Allocation Under Constraints written by Matthew P. Johnson and published by . This book was released on 2010 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 256 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 Supervisory Control and Scheduling of Resource Allocation Systems written by Bo Huang and published by John Wiley & Sons. This book was released on 2020-06-29 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents strategies with reachability graph analysis for optimizing resource allocation systems Supervisory Control and Scheduling of Resource Allocation Systems offers an important guide to Petri net (PN) models and methods for supervisory control and system scheduling of resource allocation systems (RASs). Resource allocation systems are common in automated manufacturing systems, project management systems, cloud data centers, and software engineering systems. The authors—two experts on the topic—present a definition, techniques, models, and state-of-the art applications of supervisory control and scheduling problems. The book introduces the basic concepts and research background on resource allocation systems and Petri nets. The authors then focus on the deadlock-free supervisor synthesis for RASs using Petri nets. The book also investigates the heuristic scheduling of RASs based on timed Petri nets. Conclusions and open problems are provided in the last section of the book. This important book: Includes multiple methods for supervisory control and scheduling with reachability graphs, and provides illustrative examples Reveals how to accelerate the supervisory controller design and system scheduling of RASs based on PN reachability graphs, with optimal or near-optimal results Highlights both solution quality and computational speed in RAS deadlock handling and system scheduling Written for researchers, engineers, scientists, and professionals in system planning and control, engineering, operation, and management, Supervisory Control and Scheduling of Resource Allocation Systems provides an essential guide to the supervisory control and scheduling of resource allocation systems (RASs) using Petri net reachability graphs, which allow for multiple resource acquisitions and flexible routings.

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 Effective Resource Management in Manufacturing Systems written by Massimiliano Caramia and published by Springer Science & Business Media. This book was released on 2006-06-16 with total page 229 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 Strategic allocation of resources using linear programming model with parametric analysis in MATLAB and Excel Solver written by Dinesh Gupta and published by diplom.de. This book was released on 2014-05-01 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the late 1940s, linear programming models have been used for many different purposes. Airline companies apply these models to optimize their use of planes and staff. NASA has been using them for years to optimize their use of limited resources. Oil companies use them to optimize their refinery operations. Small and medium-sized businesses use linear programming to solve a huge variety of problems, often involving resource allocation. In my study, a typical product-mix problem in a manufacturing system producing two products (each product consists of two sub-assemblies) is solved for ist optimal solution through the use of the latest versions of MATLAB having the command simlp, which is very much like linprog. As analysts, we try to find a good enough solution for the decision maker to make a final decision. Our attempt is to give the mathematical description of the product-mix optimization problem and bring the problem into a form ready to call MATLAB’s simlp command. The objective of this study is to find the best product mix that maximizes profit. The graph obtained using MATLAB commands, give the shaded area enclosed by the constraints called the feasible region, which is the set of points satisfying all the constraints. To find the optimal solution we look at the lines of equal profit to find the corner of the feasible region which yield the highest profit. This corner can be found out at the farthest line of equal profit, which still touches the feasible region. The most critical part is the sensitivity analysis, using Excel Solver, and Parametric Analysis, using computer software, which allows us to study the effect on optimal solution due to discrete and continuous change in parameters of the LP model including to identify bottlenecks. We have examined other options like product outsourcing, one-time cost, cross training of one operator, manufacturing of hypothetical third product on under-utilized machines and optimal sequencing of jobs on machines.

Download or read book Essays in Optimal Resource Allocation Under Uncertainty with Capacity Constraints written by Elizabeth Hoffman and published by . This book was released on 1979 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis brings together four papers on optimal resource allocation under uncertainty with capacity constraints. The first is an extension of the Arrow-Debreu contingent claim model to a good subject to supply uncertainty for which delivery capacity has to be chosen before the uncertainty is resolved. The second compares an ex-ante contingent claims market to a dynamic market in which capacity is chosen ex-ante and output and consumption decisions are made ex-post. The third extends the analysis to a storable good subject to random supply. Finally, the fourth examines optimal allocation of water under an appropriative rights system.

Download or read book Resource Allocation Behavior written by Harvey J. Langholtz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the increasing necessity for information on allocating dwindling resources, resource-allocation behavior is not nearly so well understood as choice behavior (selection from two or more already defined alternatives, events, or lotteries.) Although there have been scores of books devoted to the optimal model for making resource-allocation decisions there has never been a book discussing the cognitive aspects of this behavior. This book answers the question of how people make such decisions while explaining how Linear Programming can be applied within the context of resource-allocation. It also takes the reader step-by-step into several types of problems under varying conditions, including harsh and benign environments, maximization and minimization, multi-dimensional, and cyclical problems.

Download or read book Nonlinear Optimization for Project Scheduling and Resource Allocation Under Uncertainty written by Ali Mahmoudoff and published by . This book was released on 2006 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Optimal Resource Allocation in Coordinated Multi Cell Systems written by Emil Björnson and published by Now Pub. This book was released on 2013 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Resource Allocation in Coordinated Multi-Cell Systems provides a solid grounding and understanding for optimization of practical multi-cell systems and will be of interest to all researchers and engineers working on the practical design of such systems.

Download or read book QoS based Resource Allocation and Transceiver Optimization written by Martin Schubert and published by Now Publishers Inc. This book was released on 2006 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: QoS-Based Resource Allocation and Transceiver Optimization derives a comprehensive theoretical framework for SIR balancing, with and without noise. The theory considers the possible use of receive strategies (e.g. interference filtering or channel assignment), which can be included in the model in an abstract way. Power allocation and receiver design are mutually interdependent, thus joint optimization strategies are derived. QoS-Based Resource Allocation and Transceiver Optimization provides a better understanding of interference balancing and the characterization of the QoS feasible region. It also provides a generic algorithmic framework, which may serve as a basis for the development of new resource allocation algorithms. QoS-Based Resource Allocation and Transceiver Optimization is an invaluable resource for every engineer and researcher working on multiuser interference problems in wireless communications.

Download or read book Resource Allocation and Performance Optimization in Communication Networks and the Internet written by Liansheng Tan and published by CRC Press. This book was released on 2017-08-15 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the underlying theory, design techniques and analytical results of wireless communication networks, focusing on the core principles of wireless network design. It elaborates the network utility maximization (NUM) theory with applications in resource allocation of wireless networks, with a central aim of design and the QoS guarantee. It presents and discusses state-of-the-art developments in resource allocation and performance optimization in wireless communication networks. It provides an overview of the general background including the basic wireless communication networks and the relevant protocols, architectures, methods and algorithms.

Download or read book Optimizing Population Healthcare Resource Allocation Under Uncertainty Using Global Optimization Methods written by David Linz and published by . This book was released on 2018 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the rise in American healthcare costs, clinic administrators are increasingly concerned with optimally delivering service to patients. Due to the complex and uncertain nature of patient demand and other factors, models for healthcare systems may have to rely on discrete event simulation that incorporates random effects in order to realistically describe systems. Subsequently, optimization for decision-making must be applicable to objective functions with noise, which are often the output of complex simulation models. Second, many stakeholders may have an aversion to the risk generated by the system's uncertainty. For this reason, a well suited optimization approach must provide solutions to problems with stochastic "black-box" objective functions that provide insight to decision makers. This dissertation research has two main objectives: first, to develop models that can generate robust optimal staffing recommendations for healthcare systems in order to minimize the risk to patients while considering system constraints, and second to develop new simulation optimization theory and algorithms that can effectively minimize noisy black-box objective functions. The first research objective is met by addressing two practical problems concerning the delivery of medical services to patients in a patient-centered medical system using a modeled decision making framework. The first problem concerns locating specialist care across geographically distributed clinics with uncertain demand. This problem highlights the trade-offs between risk and an average penalty function associated with centralized versus distributed care. The second problem addresses the question of optimal panel design in primary care that combines both operational and strategic decisions. Since the second model cannot be easily written with closed-form equations, a discrete event simulation model is created to measure the effectiveness of chosen paneling policies in delivering care to patients. The second research objective is met by developing two adaptive random search theoretical frameworks with provable finite time results and exploring partition-based algorithms for global optimization with noise. The two theoretical frameworks are called Quantile Adaptive Search (QAS) and Hesitant Adaptive Search with Estimation (HAS-E). Under certain assumptions the expected number of function evaluations of HAS-E and QAS increases only linearly in dimension. This dissertation explores the implementation of partition-based algorithms that focus on sampling within quantiles to address problems with a higher number of dimensions. First, an extension to Optimal Computational Budget Allocation (OCBA) partition-based random search is developed that uses a look-ahead algorithm to improve optimizer performance. Second, an extension of the Nested Partition algorithm is adapted to sample points from a decreasing quantile level set. Third, an algorithm that samples from successive quantile level sets through the application of the Probabilistic Branch and Bound (PBnB) algorithm for level set approximation is explored. Finally, the dissertation also develops an algorithm where the PBnB algorithm is incorporated into a Nested Partition framework and the target quantile is decreased iteratively. To provide a broad overview of potential black-box optimization for our applications, this dissertation contains research on benchmarking the numerical performance of derivative-free optimization techniques in a variety of contexts. The dissertation contains numerical results in benchmarking the effectiveness of a single observation with a "shrinking ball" approximation when estimating the objective function of a problem with noise. In addition to benchmarking existing algorithms, this effort also includes numerical performance analysis of the newly developed algorithms in this dissertation. Overall, this research contributes to the advancement of stochastic global optimization methodology in order to practically improve real-world decision making. With the developed algorithms, healthcare administrators are able to generate near-optimal strategies for staffing and resource allocation and gain a better understanding of trade-offs in resource allocation that enable risk-averse decision makers to better serve patients.

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 2013-12-01 with total page 2410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air line crew scheduling, corporate planning, computer-aided design and man ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as linear and integer programming, graph theory, artificial intelligence, and number theory. All these problems, when formulated mathematically as the minimization or maximization of a certain function defined on some domain, have a commonality of discreteness. Historically, combinatorial optimization starts with linear programming. Linear programming has an entire range of important applications including production planning and distribution, personnel assignment, finance, alloca tion of economic resources, circuit simulation, and control systems. Leonid Kantorovich and Tjalling Koopmans received the Nobel Prize (1975) for their work on the optimal allocation of resources. Two important discover ies, the ellipsoid method (1979) and interior point approaches (1984) both provide polynomial time algorithms for linear programming. These algo rithms have had a profound effect in combinatorial optimization. Many polynomial-time solvable combinatorial optimization problems are special cases of linear programming (e.g. matching and maximum flow). In addi tion, linear programming relaxations are often the basis for many approxi mation algorithms for solving NP-hard problems (e.g. dual heuristics).

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 Resource Constrained Project Scheduling written by Christian Artigues and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title presents a large variety of models and algorithms dedicated to the resource-constrained project scheduling problem (RCPSP), which aims at scheduling at minimal duration a set of activities subject to precedence constraints and limited resource availabilities. In the first part, the standard variant of RCPSP is presented and analyzed as a combinatorial optimization problem. Constraint programming and integer linear programming formulations are given. Relaxations based on these formulations and also on related scheduling problems are presented. Exact methods and heuristics are surveyed. Computational experiments, aiming at providing an empirical insight on the difficulty of the problem, are provided. The second part of the book focuses on several other variants of the RCPSP and on their solution methods. Each variant takes account of real-life characteristics which are not considered in the standard version, such as possible interruptions of activities, production and consumption of resources, cost-based approaches and uncertainty considerations. The last part presents industrial case studies where the RCPSP plays a central part. Applications are presented in various domains such as assembly shop and rolling ingots production scheduling, project management in information technology companies and instruction scheduling for VLIW processor architectures.

Download or read book Optimal Resource Allocation written by Igor A. Ushakov and published by John Wiley & Sons. This book was released on 2013-05-17 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A UNIQUE ENGINEERING AND STATISTICAL APPROACH TO OPTIMAL RESOURCE ALLOCATION Optimal Resource Allocation: With Practical Statistical Applications and Theory features the application of probabilistic and statistical methods used in reliability engineering during the different phases of life cycles of technical systems. Bridging the gap between reliability engineering and applied mathematics, the book outlines different approaches to optimal resource allocation and various applications of models and algorithms for solving real-world problems. In addition, the fundamental background on optimization theory and various illustrative numerical examples are provided. The book also features: An overview of various approaches to optimal resource allocation, from classical Lagrange methods to modern algorithms based on ideas of evolution in biology Numerous exercises and case studies from a variety of areas, including communications, transportation, energy transmission, and counterterrorism protection The applied methods of optimization with various methods of optimal redundancy problem solutions as well as the numerical examples and statistical methods needed to solve the problems Practical thoughts, opinions, and judgments on real-world applications of reliability theory and solves practical problems using mathematical models and algorithms Optimal Resource Allocation is a must-have guide for electrical, mechanical, and reliability engineers dealing with engineering design and optimal reliability problems. In addition, the book is excellent for graduate and PhD-level courses in reliability theory and optimization.