Download or read book A Mixed Integer Linear Programming MILP Scheduling Optimization Approach for Pharmaceutical Manufacturing written by Martin Senninger and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Production Planning by Mixed Integer Programming written by Yves Pochet and published by Springer Science & Business Media. This book was released on 2006-09-23 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive modeling, reformulation and optimization approach for solving production planning and supply chain planning problems, covering topics from a basic introduction to planning systems, mixed integer programming (MIP) models and algorithms through the advanced description of mathematical results in polyhedral combinatorics required to solve these problems. Based on twenty years worth of research in which the authors have played a significant role, the book addresses real life industrial production planning problems (involving complex production structures with multiple production stages) using MIP modeling and reformulation approach. The book provides an introduction to MIP modeling and to planning systems, a unique collection of reformulation results, and an easy to use problem-solving library. This approach is demonstrated through a series of real life case studies, exercises and detailed illustrations. Review by Jakub Marecek (Computer Journal) The emphasis put on mixed integer rounding and mixing sets, heuristics in-built in general purpose integer programming solvers, as well as on decompositions and heuristics using integer programming should be praised... There is no doubt that this volume offers the present best introduction to integer programming formulations of lotsizing problems, encountered in production planning. (2007)

Download or read book Scheduling in Supply Chains Using Mixed Integer Programming written by Tadeusz Sawik and published by John Wiley & Sons. This book was released on 2011-08-08 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified, systematic approach to applying mixed integer programming solutions to integrated scheduling in customer-driven supply chains Supply chain management is a rapidly developing field, and the recent improvements in modeling, preprocessing, solution algorithms, and mixed integer programming (MIP) software have made it possible to solve large-scale MIP models of scheduling problems, especially integrated scheduling in supply chains. Featuring a unified and systematic presentation, Scheduling in Supply Chains Using Mixed Integer Programming provides state-of-the-art MIP modeling and solutions approaches, equipping readers with the knowledge and tools to model and solve real-world supply chain scheduling problems in make-to-order manufacturing. Drawing upon the author's own research, the book explores MIP approaches and examples-which are modeled on actual supply chain scheduling problems in high-tech industries-in three comprehensive sections: Short-Term Scheduling in Supply Chains presents various MIP models and provides heuristic algorithms for scheduling flexible flow shops and surface mount technology lines, balancing and scheduling of Flexible Assembly Lines, and loading and scheduling of Flexible Assembly Systems Medium-Term Scheduling in Supply Chains outlines MIP models and MIP-based heuristic algorithms for supplier selection and order allocation, customer order acceptance and due date setting, material supply scheduling, and medium-term scheduling and rescheduling of customer orders in a make-to-order discrete manufacturing environment Coordinated Scheduling in Supply Chains explores coordinated scheduling of manufacturing and supply of parts as well as the assembly of products in supply chains with a single producer and single or multiple suppliers; MIP models for a single- or multiple-objective decision making are also provided Two main decision-making approaches are discussed and compared throughout. The integrated (simultaneous) approach, in which all required decisions are made simultaneously using complex, monolithic MIP models; and the hierarchical (sequential) approach, in which the required decisions are made successively using hierarchies of simpler and smaller-sized MIP models. Throughout the book, the author provides insight on the presented modeling tools using AMPL® modeling language and CPLEX solver. Scheduling in Supply Chains Using Mixed Integer Programming is a comprehensive resource for practitioners and researchers working in supply chain planning, scheduling, and management. The book is also appropriate for graduate- and PhD-level courses on supply chains for students majoring in management science, industrial engineering, operations research, applied mathematics, and computer science.

Download or read book Mixed integer Linear Programming MILP Methods for Integration of Production Planning and Scheduling written by Charles Sung and published by . This book was released on 2009 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Process Systems Engineering for Pharmaceutical Manufacturing written by Ravendra Singh and published by Elsevier. This book was released on 2018-03-16 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Process Systems Engineering for Pharmaceutical Manufacturing: From Product Design to Enterprise-Wide Decisions, Volume 41, covers the following process systems engineering methods and tools for the modernization of the pharmaceutical industry: computer-aided pharmaceutical product design and pharmaceutical production processes design/synthesis; modeling and simulation of the pharmaceutical processing unit operation, integrated flowsheets and applications for design, analysis, risk assessment, sensitivity analysis, optimization, design space identification and control system design; optimal operation, control and monitoring of pharmaceutical production processes; enterprise-wide optimization and supply chain management for pharmaceutical manufacturing processes. Currently, pharmaceutical companies are going through a paradigm shift, from traditional manufacturing mode to modernized mode, built on cutting edge technology and computer-aided methods and tools. Such shifts can benefit tremendously from the application of methods and tools of process systems engineering. Introduces Process System Engineering (PSE) methods and tools for discovering, developing and deploying greener, safer, cost-effective and efficient pharmaceutical production processes Includes a wide spectrum of case studies where different PSE tools and methods are used to improve various pharmaceutical production processes with distinct final products Examines the future benefits and challenges for applying PSE methods and tools to pharmaceutical manufacturing

Download or read book Optimization of Pharmaceutical Processes written by Antonios Fytopoulos and published by Springer Nature. This book was released on 2022-04-06 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization of Pharmaceutical Processes presents contributions from leading authorities in the fields of optimization and pharmaceutical manufacturing. Formulated within structured frameworks, practical examples and applications are given as guidance to apply optimization techniques to most aspects of pharmaceutical processes from design, to lab and pilot scale, and finally to manufacturing. The increasing demand for better quality, higher yield, more efficient-optimized and green pharmaceutical processes, indicates that optimal conditions for production must be applied to achieve simplicity, lower costs and superior yield. The application of such methods in the pharmaceutical industry is not trivial. Quality of the final product is of major importance to human health and the need for deep knowledge of the process parameters and the optimization of the processes are imperative. The volume, which includes new methods as well as review contributions will benefit a wide readership including engineers in pharmaceuticals, chemical, biological, to name just a few.

Download or read book A Mixed Integer Programming Model for Stochastic Scheduling in New Product Development written by Craig W. Schmidt and published by . This book was released on 1995 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper presents a new, real-world scheduling problem concerning the New Product Development process of an agricultural chemical or pharmaceutical company. A Research and Development (R & D) department must schedule the tasks needed to bring a new product to market, in the face of uncertainty about the costs and durations of the tasks, and in the income resulting from introducing the new product. There is a risk that a product will fail a mandatory task, such as an environmental or safety test, and never reach the market. The objective of the schedule is to maximize the expected Net Present Value of the research. A model of this problem initially has a nonlinear, nonconcave objective. The objective is convexified and linearized by appropriate transformations, giving a Mixed Integer Linear Program (MILP). The model uses a continuous time representation and discrete distributions for the stochastic parameters. Different representations of the disjunctive scheduling constraints are discussed. A small numerical example is presented, followed by some conclusions."

Download or read book Production Planning by Mixed Integer Programming written by Yves Pochet and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive modeling, reformulation and optimization approach for solving production planning and supply chain planning problems, covering topics from a basic introduction to planning systems, mixed integer programming (MIP) models and algorithms through the advanced description of mathematical results in polyhedral combinatorics required to solve these problems. Based on twenty years worth of research in which the authors have played a significant role, the book addresses real life industrial production planning problems (involving complex production structures with multiple production stages) using MIP modeling and reformulation approach. The book provides an introduction to MIP modeling and to planning systems, a unique collection of reformulation results, and an easy to use problem-solving library. This approach is demonstrated through a series of real life case studies, exercises and detailed illustrations. Review by Jakub Marecek (Computer Journal) The emphasis put on mixed integer rounding and mixing sets, heuristics in-built in general purpose integer programming solvers, as well as on decompositions and heuristics using integer programming should be praised... There is no doubt that this volume offers the present best introduction to integer programming formulations of lotsizing problems, encountered in production planning. (2007)

Download or read book Discrete Optimization Methods for Scheduling and Matrix Completion written by Akhilesh Soni (Ph.D.) and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis consists of research in mixed integer linear programming with applications to scheduling and matrix completion. We first study the problem of scheduling drilling and fracturing of pads in the development of an unconventional oil field. We propose a novel MILP formulation for solving this scheduling problem which considers capacity, operational, precedence, and interference constraints. We also propose a formulation that uses more decision variables, but which provides a stronger linear programming relaxation. Due to the large problem size, solving the full MILP model for instances with many pads and a large number of time periods is intractable. Thus, we also derive a MILP-based rolling horizon framework that solves a sequence of limited horizon, coarser-scale MILP instances in a rolling forward fashion to obtain a solution to the full horizon problem on the daily time scale. We benchmark this approach against a baseline scheduling algorithm that approximates current practice of scheduling pads in the order of discounted production profit with limited lookahead. Our results show that our proposed MILP-based rolling horizon approach can improve the net present value of a field by 4-6%. Next, we present new integer programming approaches to matrix completion problems, both in the real field and in the finite field GF(2). First, we study an integer programming approach for subspace clustering with missing data problem in real field with an assumption that underlying data comes from a union of subspaces. Subspace clustering with missing data is the task of identifying clusters of vectors belonging to the same subspace in a partially observed data matrix whose columns are assumed to lie in a union of K subspaces. We propose a novel mixed-integer linear programming solution framework (MISS-DSG) for this problem that is based on dynamically determining a set of candidate subspaces and optimally assigning data points to the closest selected subspace. MISS-DSG handles a large number of candidate subspaces through its use of Benders decomposition and dynamically generates new candidate subspaces through its use of column generation. We cast the subspace generation problem as a nonlinear, nonconvex optimization problem and propose a gradient-based approximate solution approach. The model has the advantage of integrating the subspace generation and clustering in a single, unified optimization framework without requiring any hyperparameter tuning when number of subspaces and subspaces dimensions are known. Our computational results reveal that the proposed method can achieve higher clustering accuracy than state-of-the-art methods when data is of high-rank, the percentage of missing data is high, or subspaces are close to each other. We next discuss binary matrix completion methods in GF(2) where the arithmetic is done with respect to modulo-2 operations. We give integer linear programming formulations for matrix factorization and completion in GF(2). We first derive formulations making use of McCormick envelopes for the product of two binary variables: a base formulation using a general integer variable and an extended formulation using ideas from disjunctive programming and parity polytopes. The latter formulation characterizes the convex hull of the dot product of two vectors in an extended space. We then derive a novel formulation based on a new class of valid inequalities that also characterizes the convex hull of the dot product in the original space of variables. Our computational results reveal that the proposed formulation results in smaller branch-and-bound trees. Furthermore, we also derive additional classes of valid inequalities linking dot products between two matrix elements.

Download or read book Synthesis Design and Resource Optimization in Batch Chemical Plants written by Thokozani Majozi and published by CRC Press. This book was released on 2015-03-04 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The manner in which time is captured forms the foundation for synthesis, design, and optimization in batch chemical plants. However, there are still serious challenges with handling time in batch plants. Most techniques tend to assume either a fixed time dimension or adopt time average models to tame the time dimension, thereby simplifying the resu

Download or read book Logistic Optimization of Chemical Production Processes written by Sebastian Engell and published by John Wiley & Sons. This book was released on 2008-09-08 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this first book dedicated to the logistics of chemical plants and production processes, authors from academia and industry -- such as Bayer, Degussa, Merck -- provide an overview of the field, incorporating the knowledge and experience gathered over the last 10 years. In so doing, they describe the latest ideas on efficient design, illustrating when to produce which part of the equipment and with which resources, so as to optimize chemical plants for high capacity and flexibility. This book gives an overview of the state-of-the-art of the whole logistic chain of chemical production processes. Alongside the fundamentals, tools and algorithms, and integration issues, the book features five significant industrial case studies.

Download or read book Handbook on Modelling for Discrete Optimization written by Gautam M. Appa and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to demonstrate and detail the pervasive nature of Discrete Optimization. The handbook couples the difficult, critical-thinking aspects of mathematical modeling with the hot area of discrete optimization. It is done with an academic treatment outlining the state-of-the-art for researchers across the domains of the Computer Science, Math Programming, Applied Mathematics, Engineering, and Operations Research. The book utilizes the tools of mathematical modeling, optimization, and integer programming to solve a broad range of modern problems.

Download or read book Understanding Batch Chemical Processes written by Thokozani Majozi and published by CRC Press. This book was released on 2017-03-16 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Batch chemical processes, so often employed in the pharmaceutical and agrochemical fields, differ significantly from standard continuous operations in the emphasis upon time as a critical factor in their synthesis and design. With this inclusive guide to batch chemical processes, the author introduces the reader to key aspects in mathematical modeling of batch processes and presents techniques to overcome the computational complexity in order to yield models that are solvable in near real-time. This book demonstrates how batch processes can be analyzed, synthesized, and designed optimally using proven mathematical formulations. The text effectively demonstrates how water and energy aspects can be incorporated within the scheduling framework that seeks to capture the essence of time. It presents real-life case studies where mathematical modeling of batch plants has been successfully applied.

Download or read book Optimization and Logistics Challenges in the Enterprise written by Wanpracha Chaovalitwongse and published by Springer Science & Business Media. This book was released on 2009-06-17 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world with highly competitive markets and economic instability due to capitalization, industrial competition has increasingly intensified. In order for many industries to survive and succeed, they need to develop highly effective coordination between supply chain partners, dynamic collaborative and strategic alliance relationships, and efficient logistics and supply chain network designs. Consequently, in the past decade, there has been an explosion of interest among academic researchers and industrial practitioners in innovative supply chain and logistics models, algorithms, and coordination policies. Mathematically distinct from classical supply chain management, this emerging research area has been proven to be useful and applicable to a wide variety of industries. This book brings together recent advances in supply chain and logistics research and computational optimization that apply to a collaborative environment in the enterprise.

Download or read book A Mixed integer Linear Programming Model for Short Term Batch Scheduling in Parallel Lines written by Jaime Cerdá and published by . This book was released on 1996 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "An important industrial problem is the short-term scheduling of batch multiproduct facilities where a wide range of products are manufactured in small amounts that must be satisfied at certain due- dates during the given time horizon. This paper presents a new MILP mathematical formulation for this scheduling problem. Based on a continuous representation of the time domain and the concept of predecessor and successor for a given order to effectively handle changeovers, the proposed model is able to determine the optimal allocation of jobs to lines/units, the sequence of jobs on every line/unit and their starting and completion times so as to minimize one of the following problem objectives: the overall tardiness, the schedule makespan or the number of tardy orders. Facilities having nonidentical parallel units/lines, sequence dependent changeovers, finite release times for units and orders as well as restrictions on the type of orders that can be manufactured in each equipment can easily be handled. Moreover, the problem formulation has been generalized to make possible the running of multiple campaigns to manufacture the small group of larger-size made-to-stock orders. To deal with real world scheduling problems, a successful strategy for expediting the problem solution which relies on the use of heuristics is also reported. These heuristics allow to partially prune the set of feasible predecessors for each customer order, reducing the size of the MILP problem representation. Examples involving up to 20 orders and 4 units were successfully solved with an advanced branch-and-bound code requiring reasonable CPU time."

Download or read book Biopharmaceutical Scheduling Using a Flexible Genetic Algorithm Approach written by Karolis Jankauskas and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Disjunctive Programming written by Egon Balas and published by Springer. This book was released on 2018-11-27 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.