Algorithms And Complexity Analysis For Integer Multicommodity Network Flow And Robust Single Machine Scheduling Problems

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Algorithms and Complexity Analysis for Integer Multicommodity Network Flow and Robust Single-Machine Scheduling Problems

Author : Bita Tadayon
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (97 download)

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Book Synopsis Algorithms and Complexity Analysis for Integer Multicommodity Network Flow and Robust Single-Machine Scheduling Problems by : Bita Tadayon

Download or read book Algorithms and Complexity Analysis for Integer Multicommodity Network Flow and Robust Single-Machine Scheduling Problems written by Bita Tadayon and published by . This book was released on 2014 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: As our second line of research we consider single-machine scheduling problems with uncertainty in their parameter values. We focus on robust optimization as an appropriate method of dealing with uncertainty in several scheduling environments. We first present a comprehensive survey of robust single-machine scheduling problems, classify the literature, and introduce open problems in this area. This survey proposes the possibility of improving existing robust scheduling models by applying recent developments in robust optimization in this area. Accordingly, as the next step of our research we study a robust single-machine scheduling problem where job processing times are subject to uncertainty with their values belonging to independent continuous intervals. We consider four alternative optimization criteria and apply state-of-the-art robust optimization methods to define three different uncertainty sets. Then, given each combination of objective function and uncertainty set, we explore the problem of determining the worst-case scenario (job processing-time values) corresponding to a given job schedule, and analyze the problem of scheduling jobs to minimize the worst-case objective.

Algorithms for Discrete, Non-linear and Robust Optimization Problems with Applications in Scheduling and Service Operations

Author : Shashi Mittal (Ph. D.)
Publisher :
ISBN 13 :
Total Pages : 107 pages
Book Rating : 4.:/5 (773 download)

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Book Synopsis Algorithms for Discrete, Non-linear and Robust Optimization Problems with Applications in Scheduling and Service Operations by : Shashi Mittal (Ph. D.)

Download or read book Algorithms for Discrete, Non-linear and Robust Optimization Problems with Applications in Scheduling and Service Operations written by Shashi Mittal (Ph. D.) and published by . This book was released on 2011 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents efficient algorithms that give optimal or near-optimal solutions for problems with non-linear objective functions that arise in discrete, continuous and robust optimization. First, we present a general framework for designing approximation schemes for combinatorial optimization problems in which the objective function is a combination of more than one function. Examples of such problems include those in which the objective function is a product or ratio of two or more linear functions, parallel machine scheduling problems with the makespan objective, robust versions of weighted multi-objective optimization problems, and assortment optimization problems with logit choice models. For many of these problems, we give the first fully polynomial time approximation scheme using our framework. Next, we present approximation schemes for optimizing a rather general class of non-linear functions of low rank over a polytope. In contrast to existing results in the literature, our approximation scheme does not require the assumption of quasi-concavity of the objective function. For the special case of minimizing a quasi-concave function of low-rank, we give an alternative algorithm which always returns a solution which is an extreme point of the polytope. This algorithm can also be used for combinatorial optimization problems where the objective is to minimize a quasi-concave function of low rank. We also give complexity-theoretic results with regards to the inapproximability of minimizing a concave function over a polytope. Finally, we consider the problem of appointment scheduling in a robust optimization framework. The appointment scheduling problem arises in many service operations, for example health care. For each job, we are given its minimum and maximum possible execution times. The objective is to find an appointment schedule for which the cost in the worst case scenario of the realization of the processing times of the jobs is minimized. We present a global balancing heuristic, which gives an easy to compute closed form optimal schedule when the underage costs of the jobs are non-decreasing. In addition, for the case where we have the flexibility of changing the order of execution of the jobs, we give simple heuristics to find a near-optimal sequence of the jobs.

Applied Integer Programming

Author : Der-San Chen
Publisher : John Wiley & Sons
ISBN 13 : 1118210026
Total Pages : 489 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Applied Integer Programming by : Der-San Chen

Download or read book Applied Integer Programming written by Der-San Chen and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible treatment of the modeling and solution of integer programming problems, featuring modern applications and software In order to fully comprehend the algorithms associated with integer programming, it is important to understand not only how algorithms work, but also why they work. Applied Integer Programming features a unique emphasis on this point, focusing on problem modeling and solution using commercial software. Taking an application-oriented approach, this book addresses the art and science of mathematical modeling related to the mixed integer programming (MIP) framework and discusses the algorithms and associated practices that enable those models to be solved most efficiently. The book begins with coverage of successful applications, systematic modeling procedures, typical model types, transformation of non-MIP models, combinatorial optimization problem models, and automatic preprocessing to obtain a better formulation. Subsequent chapters present algebraic and geometric basic concepts of linear programming theory and network flows needed for understanding integer programming. Finally, the book concludes with classical and modern solution approaches as well as the key components for building an integrated software system capable of solving large-scale integer programming and combinatorial optimization problems. Throughout the book, the authors demonstrate essential concepts through numerous examples and figures. Each new concept or algorithm is accompanied by a numerical example, and, where applicable, graphics are used to draw together diverse problems or approaches into a unified whole. In addition, features of solution approaches found in today's commercial software are identified throughout the book. Thoroughly classroom-tested, Applied Integer Programming is an excellent book for integer programming courses at the upper-undergraduate and graduate levels. It also serves as a well-organized reference for professionals, software developers, and analysts who work in the fields of applied mathematics, computer science, operations research, management science, and engineering and use integer-programming techniques to model and solve real-world optimization problems.

Network Flows: Pearson New International Edition

Author : Ravindra K. Ahuja
Publisher :
ISBN 13 : 9781292042701
Total Pages : 864 pages
Book Rating : 4.0/5 (427 download)

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Book Synopsis Network Flows: Pearson New International Edition by : Ravindra K. Ahuja

Download or read book Network Flows: Pearson New International Edition written by Ravindra K. Ahuja and published by . This book was released on 2013-11-01 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the classic and the contemporary aspects of the field, this comprehensive introduction to network flows provides an integrative view of theory, algorithms, and applications. It offers in-depth and self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including a description of new and novel polynomial-time algorithms for these core models. For professionals working with network flows, optimization, and network programming.

INFORMS Conference Program

Author : Institute for Operations Research and the Management Sciences. National Meeting
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis INFORMS Conference Program by : Institute for Operations Research and the Management Sciences. National Meeting

Download or read book INFORMS Conference Program written by Institute for Operations Research and the Management Sciences. National Meeting and published by . This book was released on 1997 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Assignment Problems

Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 1475731558
Total Pages : 317 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Nonlinear Assignment Problems by : Panos M. Pardalos

Download or read book Nonlinear Assignment Problems written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Assignment Problems (NAPs) are natural extensions of the classic Linear Assignment Problem, and despite the efforts of many researchers over the past three decades, they still remain some of the hardest combinatorial optimization problems to solve exactly. The purpose of this book is to provide in a single volume, major algorithmic aspects and applications of NAPs as contributed by leading international experts. The chapters included in this book are concerned with major applications and the latest algorithmic solution approaches for NAPs. Approximation algorithms, polyhedral methods, semidefinite programming approaches and heuristic procedures for NAPs are included, while applications of this problem class in the areas of multiple-target tracking in the context of military surveillance systems, of experimental high energy physics, and of parallel processing are presented. Audience: Researchers and graduate students in the areas of combinatorial optimization, mathematical programming, operations research, physics, and computer science.

Applications of Optimization with Xpress-MP

Author : Christelle Guéret
Publisher : Twayne Publishers
ISBN 13 : 9780954350307
Total Pages : 349 pages
Book Rating : 4.3/5 (53 download)

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Book Synopsis Applications of Optimization with Xpress-MP by : Christelle Guéret

Download or read book Applications of Optimization with Xpress-MP written by Christelle Guéret and published by Twayne Publishers. This book was released on 2002 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:

50 Years of Integer Programming 1958-2008

Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3540682791
Total Pages : 804 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis 50 Years of Integer Programming 1958-2008 by : Michael Jünger

Download or read book 50 Years of Integer Programming 1958-2008 written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2009-11-06 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1958, Ralph E. Gomory transformed the field of integer programming when he published a paper that described a cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a special workshop celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. It contains reprints of key historical articles and written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community. Useful for anyone in mathematics, computer science and operations research, this book exposes mathematical optimization, specifically integer programming and combinatorial optimization, to a broad audience.

Network Flows

Author : Ravindra K. Ahuja
Publisher : Andesite Press
ISBN 13 : 9781297491764
Total Pages : pages
Book Rating : 4.4/5 (917 download)

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Book Synopsis Network Flows by : Ravindra K. Ahuja

Download or read book Network Flows written by Ravindra K. Ahuja and published by Andesite Press. This book was released on 2015-08-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Aimms Optimization Modeling

Author : Johannes Bisschop
Publisher : Lulu.com
ISBN 13 : 1847539122
Total Pages : 318 pages
Book Rating : 4.8/5 (475 download)

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Book Synopsis Aimms Optimization Modeling by : Johannes Bisschop

Download or read book Aimms Optimization Modeling written by Johannes Bisschop and published by Lulu.com. This book was released on 2006 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AIMMS Optimization Modeling book provides not only an introduction to modeling but also a suite of worked examples. It is aimed at users who are new to modeling and those who have limited modeling experience. Both the basic concepts of optimization modeling and more advanced modeling techniques are discussed. The Optimization Modeling book is AIMMS version independent.

Approximation Algorithms for Combinatorial Optimization

Author : Klaus Jansen
Publisher : Springer
ISBN 13 : 354044436X
Total Pages : 290 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Approximation Algorithms for Combinatorial Optimization by : Klaus Jansen

Download or read book Approximation Algorithms for Combinatorial Optimization written by Klaus Jansen and published by Springer. This book was released on 2003-07-31 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2000, held in Saarbrcken, Germany in September 2000. The 22 revised full papers presented together with four invited contributions were carefully reviewed and selected from 68 submissions. The topics dealt with include design and analysis of approximation algorithms, inapproximibility results, on-line problems, randomization techniques, average-case analysis, approximation classes, scheduling problems, routing and flow problems, coloring and partitioning, cuts and connectivity, packing and covering, geometric problems, network design, and various applications.

Computational Combinatorial Optimization

Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3540428771
Total Pages : 317 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computational Combinatorial Optimization by : Michael Jünger

Download or read book Computational Combinatorial Optimization written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2001-11-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization problems, e.g., in production and transport planning, are treated in many places; in particular, the book contains a state-of-the-art account of the most successful techniques for solving the traveling salesman problem to optimality.

Handbook of Optimization in Complex Networks

Author : My T. Thai
Publisher : Springer Science & Business Media
ISBN 13 : 1461408571
Total Pages : 539 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Handbook of Optimization in Complex Networks by : My T. Thai

Download or read book Handbook of Optimization in Complex Networks written by My T. Thai and published by Springer Science & Business Media. This book was released on 2011-11-25 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Social Networks is a newly emerging (hot) topic with applications in a variety of domains, such as communication networks, engineering networks, social networks, and biological networks. In the last decade, there has been an explosive growth of research on complex real-world networks, a theme that is becoming pervasive in many disciplines, ranging from mathematics and computer science to the social and biological sciences. Optimization of complex communication networks requires a deep understanding of the interplay between the dynamics of the physical network and the information dynamics within the network. Although there are a few books addressing social networks or complex networks, none of them has specially focused on the optimization perspective of studying these networks. This book provides the basic theory of complex networks with several new mathematical approaches and optimization techniques to design and analyze dynamic complex networks. A wide range of applications and optimization problems derived from research areas such as cellular and molecular chemistry, operations research, brain physiology, epidemiology, and ecology.

Column Generation

Author : Guy Desaulniers
Publisher : Springer Science & Business Media
ISBN 13 : 0387254862
Total Pages : 369 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Column Generation by : Guy Desaulniers

Download or read book Column Generation written by Guy Desaulniers and published by Springer Science & Business Media. This book was released on 2006-03-20 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Column Generation is an insightful overview of the state of the art in integer programming column generation and its many applications. The volume begins with "A Primer in Column Generation" which outlines the theory and ideas necessary to solve large-scale practical problems, illustrated with a variety of examples. Other chapters follow this introduction on "Shortest Path Problems with Resource Constraints," "Vehicle Routing Problem with Time Window," "Branch-and-Price Heuristics," "Cutting Stock Problems," each dealing with methodological aspects of the field. Three chapters deal with transportation applications: "Large-scale Models in the Airline Industry," "Robust Inventory Ship Routing by Column Generation," and "Ship Scheduling with Recurring Visits and Visit Separation Requirements." Production is the focus of another three chapters: "Combining Column Generation and Lagrangian Relaxation," "Dantzig-Wolfe Decomposition for Job Shop Scheduling," and "Applying Column Generation to Machine Scheduling." The final chapter by François Vanderbeck, "Implementing Mixed Integer Column Generation," reviews how to set-up the Dantzig-Wolfe reformulation, adapt standard MIP techniques to the column generation context (branching, preprocessing, primal heuristics), and deal with specific column generation issues (initialization, stabilization, column management strategies).

Metaheuristics for Combinatorial Optimization

Author : Salvatore Greco
Publisher : Springer Nature
ISBN 13 : 3030685209
Total Pages : 69 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Metaheuristics for Combinatorial Optimization by : Salvatore Greco

Download or read book Metaheuristics for Combinatorial Optimization written by Salvatore Greco and published by Springer Nature. This book was released on 2021-02-13 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents novel and original metaheuristics developed to solve the cost-balanced traveling salesman problem. This problem was taken into account for the Metaheuristics Competition proposed in MESS 2018, Metaheuristics Summer School, and the top 4 methodologies ranked are included in the book, together with a brief introduction to the traveling salesman problem and all its variants. The book is aimed particularly at all researchers in metaheuristics and combinatorial optimization areas. Key uses are metaheuristics; complex problem solving; combinatorial optimization; traveling salesman problem.

Hard Real-Time Computing Systems

Author : Giorgio C Buttazzo
Publisher : Springer Science & Business Media
ISBN 13 : 1461406765
Total Pages : 528 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Hard Real-Time Computing Systems by : Giorgio C Buttazzo

Download or read book Hard Real-Time Computing Systems written by Giorgio C Buttazzo and published by Springer Science & Business Media. This book was released on 2011-09-10 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition offers an indispensable exposition on real-time computing, with particular emphasis on predictable scheduling algorithms. It introduces the fundamental concepts of real-time computing, demonstrates the most significant results in the field, and provides the essential methodologies for designing predictable computing systems used to support time-critical control applications. Along with an in-depth guide to the available approaches for the implementation and analysis of real-time applications, this revised edition contains a close examination of recent developments in real-time systems, including limited preemptive scheduling, resource reservation techniques, overload handling algorithms, and adaptive scheduling techniques. This volume serves as a fundamental advanced-level textbook. Each chapter provides basic concepts, which are followed by algorithms, illustrated with concrete examples, figures and tables. Exercises and solutions are provided to enhance self-study, making this an excellent reference for those interested in real-time computing for designing and/or developing predictable control applications.

Scalable Algorithms for Data and Network Analysis

Author : Shang-Hua Teng
Publisher :
ISBN 13 : 9781680831306
Total Pages : 292 pages
Book Rating : 4.8/5 (313 download)

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Book Synopsis Scalable Algorithms for Data and Network Analysis by : Shang-Hua Teng

Download or read book Scalable Algorithms for Data and Network Analysis written by Shang-Hua Teng and published by . This book was released on 2016-05-04 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the age of Big Data, efficient algorithms are in high demand. It is also essential that efficient algorithms should be scalable. This book surveys a family of algorithmic techniques for the design of scalable algorithms. These techniques include local network exploration, advanced sampling, sparsification, and geometric partitioning.