Download or read book Approximation Algorithms for Two machine Flow Shop Scheduling with Batch Setup Times written by Bo Chen and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Complexity and Approximation written by Giorgio Ausiello and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the state of the art in combinatorial optimization, presenting approximate solutions of virtually all relevant classes of NP-hard optimization problems. The wealth of problems, algorithms, results, and techniques make it an indispensible source of reference for professionals. The text smoothly integrates numerous illustrations, examples, and exercises.

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 Handbook of combinatorial optimization written by Dingzhu Du and published by Springer Science & Business Media. This book was released on 1998-12-15 with total page 880 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 Worst case Performance of Scheduling Heuristics written by Bo Chen and published by I.B.D. Limited. This book was released on 1994 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Attempts to cope with the challenge of optimal utilization of limited resources in accomplishing variegated tasks have resulted in an exciting field known as scheduling theory. The resources and tasks are commonly referred to as machines and jobs, respectively. In this thesis efficient heuristic algorithms are developed, which quickly provide near optimal solutions for various problems in scheduling theory that are practically intractable to solve to optimality. The worst-case performance of the heuristic algorithms is thoroughly analyzed. With respect to machine environments, the scheduling problems considered range from parallel machine shops, through open and flow shops, to common generalizations of the classical shop models. With respect to the job characteristics, these problems may involve preemptive or non-preemptive scheduling, with setup times included in or separated from processing times. With respect to the ways jobs are released and scheduled, both off-line and on-line problems are investigated."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

Download or read book Flow Shop Scheduling written by Hamilton Emmons and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using simplified notation and revealing unifying concepts, this book covers flow shop systems including two-machine, flexible and stochastic, and examines the reentrant flow shop, in which a job may be reprocessed at the same station or sequence of stations.

Download or read book Handbook on Scheduling written by Jacek Blazewicz and published by Springer. This book was released on 2019-04-25 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a theoretical and application-oriented analysis of deterministic scheduling problems in advanced planning and computer systems. The text examines scheduling problems across a range of parameters: job priority, release times, due dates, processing times, precedence constraints, resource usage and more, focusing on such topics as computer systems and supply chain management. Discussion includes single and parallel processors, flexible shops and manufacturing systems, and resource-constrained project scheduling. Many applications from industry and service operations management and case studies are described. The handbook will be useful to a broad audience, from researchers to practitioners, graduate and advanced undergraduate students.

Download or read book Handbook on Scheduling written by Jacek Błażewicz and published by Springer Science & Business Media. This book was released on 2007-06-12 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a theoretical and application-oriented analysis of deterministic scheduling problems in advanced planning and computer systems. The text examines scheduling problems across a range of parameters: job priority, release times, due dates, processing times, precedence constraints, resource usage and more, focusing on such topics as computer systems and supply chain management. Discussion includes single and parallel processors, flexible shops and manufacturing systems, and resource-constrained project scheduling. Many applications from industry and service operations management and case studies are described. The handbook will be useful to a broad audience, from researchers to practitioners, graduate and advanced undergraduate students.

Download or read book Two stage Flexible Flow Shop Scheduling with Blocking Constraint and Batching Machines written by Hadi Panahi and published by . This book was released on 2014 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, a two stage flexible flow shop scheduling problem is studied, where in stage 1, there are identical batch processors (burnout ovens) and in stage 2, there are identical discrete processors (furnaces). Batch processors perform a pre-heating process on a batch of jobs at a time and discrete processors perform a casting process on only one job at a time. It is assumed there is no intermediate buffer allowed between stages 1 and 2 and there is a blocking constraint between stages one and two. A batch of jobs is loaded into the batch processors based on predefined patterns. Batch processors have capacity limit and only a limited number of jobs can be loaded into the batch processors. This number is determined by the burnout oven size, jobs size and shape, and also by the layout by which they are loaded into the batch processor. It is assumed that the processing times of the batch processors are fixed and independent of the number of jobs loaded. In stage 2, jobs may require a setup time before loading. This setup depends on the job processed last and the job that is going to be processed next. In stage 2 in order to pour the molten metal, pots are used. Larger jobs require larger pots due to higher molten metal volume. Also jobs may have different alloy types and sometimes the pot that is currently being used must be washed before using it for the next job due to the difference between the alloy types of two consecutive jobs. Furthermore, each pot can be used for a predefined number of pot pourings and when it reaches this predefined maximum, it has to be replaced by a new pot. It is assumed that there are different orders of jobs from customers and each customers order is associated with a due date. In this problem, several goals have to be attained while producing high quality products that conform to the established production plan. An ideal production plan reduces the blocking times on the batch processors, reduces the number of pot changes and improves the pot efficiency, reduces the maximum weighted completion time of all jobs and at the same time satisfies customers' due dates. In order to attain all these goals in one production plan, the maximum weighted completion time of all jobs are minimized. The weights are defined based on customers' due dates. In order to solve this problem and obtain optimal solutions, several mixed-integer programming mathematical models are developed and are solved using CPLEX and GUROBI. In small-size problems, it is possible to find an optimal solution, but as the size of the problem increases, these commercial solvers are not capable of finding an optimal solution by proving optimality of the feasible solution they find. In large-size problems, these solvers are not even capable of finding a feasible solution. This problem is inspired by a real industry problem and in order to solve this problem on an industrial scale, optimal approaches cannot be employed due to their inefficiency in solving large-size problems. In order to solve these problems and obtain at least high quality near-optimal solutions, three different search algorithms, namely TS, LTM_MAX and LTM_MIN, all based on Tabu search are designed and implemented. The quality of the solutions obtained by the search algorithms has to be evaluated against a valid measure. While mathematical modeling is a good tool to obtain such valid measures (optimal solutions), they are not reliable in solving large-size problems and therefore in this research they are used to evaluate the performance of the search algorithms in small-size problems. For large-size problems, a different methodology, based on the identification of valid lower bounds, is used to investigate the performance of the search algorithms. Two lower bounding mechanisms are used for generating lower bounds. These lower bounds are compared against the solutions found by the search algorithms. The first methodology developed in this research is the iterative selective linear relaxation. This methodology starts from solving the problem with some of the variables relaxed, and allows for relaxing another set of selected variables in subsequent iterations. The second methodology developed in this research is based on branch-and-price (B & P) algorithm. B & P can be viewed as an extension of branch-and-bound, wherein a column generation algorithm is developed and implemented to solve each node of the branch-and bound tree, thus enabling the identification of higher quality lower bounds efficiently for the original problem. A comprehensive set of experiments are performed to evaluate the efficiency and efficacy of the search algorithms. In pursuance of such experiments, numerous test problems that are representative of the real problem have been generated. There are several important factors such as structure of the problem, ratio of processing times to setup times, and types of setup times that are considered in generating test problems. Since some of these factors are known to be "hard to change", a split-plot design is used to perform the design of experiments in this research. The experiments reveal that LTM_MIN outperforms the other two algorithms in terms of the solution quality. On average TS and LTM_MAX deviate from LTM_MIN by 6.51% and 3.44%, respectively, in small and large-size problems. The average gap of LTM_MIN from the optimal solution in small-size problems is 2.81%, which is very promising. Average gap of LTM_MIN from the best lower bound available and B & P are 31.10% and 39.24%, respectively. In large-size problems the average gap of lower bound obtained by B & P from that by B & B is -14.07%, confirming that B & P outperforms B & B in large-size problems. Finally, in large-size problems, the average gap among best of all three algorithms against the best available lower bound is 14.2%.

Download or read book Advances in Combinatorial Optimization written by Y. M. Sharaiha and published by . This book was released on 1999 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematics of Industrial Systems written by Rainer E. Burkard and published by . This book was released on 2002 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scheduling Theory Single Stage Systems written by V. Tanaev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scheduling theory is an important branch of operations research. Problems studied within the framework of that theory have numerous applications in various fields of human activity. As an independent discipline scheduling theory appeared in the middle of the fifties, and has attracted the attention of researchers in many countries. In the Soviet Union, research in this direction has been mainly related to production scheduling, especially to the development of automated systems for production control. In 1975 Nauka ("Science") Publishers, Moscow, issued two books providing systematic descriptions of scheduling theory. The first one was the Russian translation of the classical book Theory of Scheduling by American mathematicians R. W. Conway, W. L. Maxwell and L. W. Miller. The other one was the book Introduction to Scheduling Theory by Soviet mathematicians V. S. Tanaev and V. V. Shkurba. These books well complement each other. Both. books well represent major results known by that time, contain an exhaustive bibliography on the subject. Thus, the books, as well as the Russian translation of Computer and Job-Shop Scheduling Theory edited by E. G. Coffman, Jr., (Nauka, 1984) have contributed to the development of scheduling theory in the Soviet Union. Many different models, the large number of new results make it difficult for the researchers who work in related fields to follow the fast development of scheduling theory and to master new methods and approaches quickly.

Download or read book A Comparison of Heuristic Algorithms for Flow Shop Scheduling Problems with Setup Times and Limited Batch Size written by Dan Dannenberg and published by . This book was released on 1997 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Supply Chain Scheduling written by Zhi-Long Chen and published by Springer Nature. This book was released on 2022-02-07 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supply chain scheduling is a relatively new research area with less than 20 years of history. It is an intersection of two traditional areas: supply chain management and scheduling. In this book, the authors provide a comprehensive coverage of supply chain scheduling. The book covers applications, solution algorithms for solving related problems, evaluation of supply chain conflicts, and models for encouraging cooperation between decision makers. Supply chain scheduling studies detailed scheduling issues within supply chains, as motivated by a variety of applications in the real world. Topics covered by the book include: Coordinated decision making in centralized supply chains, including integrated production and distribution scheduling, joint scheduling and product pricing, and coordinated subcontracting and scheduling. Coordination and competition issues in decentralized supply chains, including conflict and cooperation within scheduling decisions made by different parties in supply chains, and both cooperative and non-cooperative supply chain scheduling games. The book describes a variety of representative problems within each of these topics. The authors define these problems mathematically, describe corresponding applications, and introduce solution methods for solving each problem to improve supply chain performance.

Download or read book Recent Progress in Computational Sciences and Engineering 2 vols written by Theodore Simos and published by CRC Press. This book was released on 2019-05-07 with total page 1600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together selected contributed papers presented at the International Conference of Computational Methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. The conference aims to bring together computational scientists from several disciplines in order to share methods and ideas. The ICCMSE is unique in its kind. It regroups original contributions from all fields of the traditional Sciences, Mathematics, Physics, Chemistry, Biology, Medicine and all branches of Engineering. It would be perhaps more appropriate to define the ICCMSE as a conference on computational science and its applications to science and engineering. Topics of general interest are: Computational Mathematics, Theoretical Physics and Theoretical Chemistry. Computational Engineering and Mechanics, Computational Biology and Medicine, Computational Geosciences and Meteorology, Computational Economics and Finance, Scientific Computation. High Performance Computing, Parallel and Distributed Computing, Visualization, Problem Solving Environments, Numerical Algorithms, Modelling and Simulation of Complex System, Web-based Simulation and Computing, Grid-based Simulation and Computing, Fuzzy Logic, Hybrid Computational Methods, Data Mining, Information Retrieval and Virtual Reality, Reliable Computing, Image Processing, Computational Science and Education etc. More than 800 extended abstracts have been submitted for consideration for presentation in ICCMSE 2005. From these 500 have been selected after international peer review by at least two independent reviewers.

Download or read book Operations Research Proceedings 2019 written by Janis S. Neufeld and published by Springer Nature. This book was released on 2020-09-24 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers a selection of peer-reviewed papers presented at the International Conference on Operations Research (OR 2019), which was held at Technische Universität Dresden, Germany, on September 4-6, 2019, and was jointly organized by the German Operations Research Society (GOR) the Austrian Operations Research Society (ÖGOR), and the Swiss Operational Research Society (SOR/ASRO). More than 600 scientists, practitioners and students from mathematics, computer science, business/economics and related fields attended the conference and presented more than 400 papers in plenary presentations, parallel topic streams, as well as special award sessions. The respective papers discuss classical mathematical optimization, statistics and simulation techniques. These are complemented by computer science methods, and by tools for processing data, designing and implementing information systems. The book also examines recent advances in information technology, which allow big data volumes to be processed and enable real-time predictive and prescriptive business analytics to drive decisions and actions. Lastly, it includes problems modeled and treated while taking into account uncertainty, risk management, behavioral issues, etc.

Download or read book A Combination of Flow Shop Scheduling and the Shortest Path Problem written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: