Download or read book On Some Difficult Linear Programs Coming from Set Partitioning written by International Business Machines Corporation. Research Division and published by . This book was released on 1999 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We deal with the linear programming relaxation of Set Partitioning problems arising in Airline Crew Scheduling. Some of these linear programs have been extremely difficult to solve with the traditional algorithms. We have used an extension of the subgradient algorithm, the volume algorithm, to produce primal solutions that might violate the constraints by at most 2%, and that are within 1% of the lower bound. This method is fast, requires minimal storage, and can be parallelized in a straightforward way."
Download or read book Advances In Combinatorial Optimization Linear Programming Formulations Of The Traveling Salesman And Other Hard Combinatorial Optimization Problems written by Moustapha Diaby and published by World Scientific. This book was released on 2016-01-28 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinational optimization (CO) is a topic in applied mathematics, decision science and computer science that consists of finding the best solution from a non-exhaustive search. CO is related to disciplines such as computational complexity theory and algorithm theory, and has important applications in fields such as operations research/management science, artificial intelligence, machine learning, and software engineering.Advances in Combinatorial Optimization presents a generalized framework for formulating hard combinatorial optimization problems (COPs) as polynomial sized linear programs. Though developed based on the 'traveling salesman problem' (TSP), the framework allows for the formulating of many of the well-known NP-Complete COPs directly (without the need to reduce them to other COPs) as linear programs, and demonstrates the same for three other problems (e.g. the 'vertex coloring problem' (VCP)). This work also represents a proof of the equality of the complexity classes 'P' (polynomial time) and 'NP' (nondeterministic polynomial time), and makes a contribution to the theory and application of 'extended formulations' (EFs).On a whole, Advances in Combinatorial Optimization offers new modeling and solution perspectives which will be useful to professionals, graduate students and researchers who are either involved in routing, scheduling and sequencing decision-making in particular, or in dealing with the theory of computing in general.
Download or read book Quantitative Problem Solving Methods in the Airline Industry written by Cynthia Barnhart and published by Springer Science & Business Media. This book was released on 2011-12-22 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews Operations Research theory, applications and practice in seven major areas of airline planning and operations. In each area, a team of academic and industry experts provides an overview of the business and technical landscape, a view of current best practices, a summary of open research questions and suggestions for relevant future research. There are several common themes in current airline Operations Research efforts. First is a growing focus on the customer in terms of: 1) what they want; 2) what they are willing to pay for services; and 3) how they are impacted by planning, marketing and operational decisions. Second, as algorithms improve and computing power increases, the scope of modeling applications expands, often re-integrating processes that had been broken into smaller parts in order to solve them in the past. Finally, there is a growing awareness of the uncertainty in many airline planning and operational processes and decisions. Airlines now recognize the need to develop ‘robust’ solutions that effectively cover many possible outcomes, not just the best case, “blue sky” scenario. Individual chapters cover: Customer Modeling methodologies, including current and emerging applications. Airline Planning and Schedule Development, with a look at many remaining open research questions. Revenue Management, including a view of current business and technical landscapes, as well as suggested areas for future research. Airline Distribution -- a comprehensive overview of this newly emerging area. Crew Management Information Systems, including a review of recent algorithmic advances, as well as the development of information systems that facilitate the integration of crew management modeling with airline planning and operations. Airline Operations, with consideration of recent advances and successes in solving the airline operations problem. Air Traffic Flow Management, including the modeling environment and opportunities for both Air Traffic Flow Management and the airlines.
Download or read book Computational Advances in the Solution of Large Scale Set Covering and Set Partitioning Problems written by Dan O. Bausch and published by . This book was released on 1982 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Set Covering Problem (SCP) and the Set Partitioning Problem (SPP) represent an important class of all-binary (0-1) Integer Linear Programs (ILP). A review of the literature reveals extensive application of the APP/SCP model to a wide set of practical problems. The basic model is explained, and then many of the actual applications of this powerful model discovered in the literature review are discussed. The problems derived from these applications are difficult to solve with any method, and are particularly difficult to solve with optimal or exact algorithms. Various solution techniques were investigated within the framework of the classical simplex method with branch and bound enumeration. Several reformulations of the SPP/SCP as Integer Generalized Networks are examined. Extensive computational results are reported for several real world large-scale problems, and a convenient, compact format for data input is proposed as a standard for this problem class. (Author).
Download or read book Operations Research and Management Science Handbook written by A. Ravi Ravindran and published by CRC Press. This book was released on 2016-04-19 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations Research (OR) began as an interdisciplinary activity to solve complex military problems during World War II. Utilizing principles from mathematics, engineering, business, computer science, economics, and statistics, OR has developed into a full fledged academic discipline with practical application in business, industry, government and m
Download or read book Operations Research Applications written by A. Ravi Ravindran and published by CRC Press. This book was released on 2008-11-12 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: As operations research (OR) applications continue to grow and flourish in a number of decision making fields, a reference that is comprehensive, concise, and easy to read is more than a nicety, it is a necessity. This book provides a single volume overview of OR applications in practice, making it the first resource a practitioner would reach for w
Download or read book Very Large scale Linear Programming a Case Study in Combining Interior Point and Simplex Methods written by R. E. Bixby and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Transportation Science written by Randolph Hall and published by Springer Science & Business Media. This book was released on 2003-01-31 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 15 extends the networks section of the book by addressing supply chains, distribution networks and logistics. While the emphasis is on freight transportation, the principles for network design extend to other applications, such as public transportation. Chapters 16 through 18 fall in a new section on transportation economics. Chapter 16 addresses revenue management, a relatively recent topic in transportation, which has had substantial impact on the airline industry in particular. Chapter 17 presents spatial interaction models, which provide a mechanism for analyzing patterns of development.
Download or read book Integer Programming written by and published by . This book was released on 2005 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Branch and cut price Implementation for Airline Crew Scheduling written by Greta M. Pangborn and published by . This book was released on 2002 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Two Branch and Bound Algorithms for the Set Partitioning Problem written by Robert Milton Nauss and published by . This book was released on 1972 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimization Techniques And Applications International Conference In 2 Volumes written by F S Chou and published by World Scientific. This book was released on 1992-05-25 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of powerful computers and novel mathematical programming techniques, the multidisciplinary field of optimization has advanced to the stage that quite complicated systems can be addressed. The conference was organized to provide a platform for the exchanging of new ideas and information and for identifying areas for future research. The contributions covered both theoretical techniques and a rich variety of case studies to which optimization can be usefully applied.
Download or read book A MULTIPLIER ADJUSTMENT APPROACH FOR THE SET PARTITIONING PROBLEM written by Thomas Justin Chan and Candace Arai Yano and published by . This book was released on 1990 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Model Building in Mathematical Programming written by H. Paul Williams and published by John Wiley & Sons. This book was released on 2013-01-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 5th edition of Model Building in Mathematical Programmingdiscusses the general principles of model building in mathematicalprogramming and demonstrates how they can be applied by usingseveral simplified but practical problems from widely differentcontexts. Suggested formulations and solutions are given togetherwith some computational experience to give the reader a feel forthe computational difficulty of solving that particular type ofmodel. Furthermore, this book illustrates the scope and limitationsof mathematical programming, and shows how it can be applied toreal situations. By emphasizing the importance of the building andinterpreting of models rather than the solution process, the authorattempts to fill a gap left by the many works which concentrate onthe algorithmic side of the subject. In this article, H.P. Williams explains his originalmotivation and objectives in writing the book, how it has beenmodified and updated over the years, what is new in this editionand why it has maintained its relevance and popularity over theyears: ahref="http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html"http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html/a
Download or read book The Algorithm Design Manual written by Steven S Skiena and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java
Download or read book Integer Programming and Related Areas written by R.v. Randow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Sharpest Cut written by Martin Groetschel and published by SIAM. This book was released on 2004-01-01 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is written in honor of Manfred Padberg, who has made fundamental contributions to both the theoretical and computational sides of integer programming and combinatorial optimization. This outstanding collection presents recent results in these areas that are closely connected to Padberg's research. His deep commitment to the geometrical approach to combinatorial optimization can be felt throughout this volume; his search for increasingly better and computationally efficient cutting planes gave rise to its title. The peer-reviewed papers contained here are based on invited lectures given at a workshop held in October 2001 to celebrate Padberg's 60th birthday. Grouped by topic (packing, stable sets, and perfect graphs; polyhedral combinatorics; general polytopes; semidefinite programming; computation), many of the papers set out to solve challenges set forth in Padberg's work. The book also shows how Padberg's ideas on cutting planes have influenced modern commercial optimization software.
