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books on operations research by indian authors: Operations Research A. M. Natarajan, P. Balasubramani, 2006 |
books on operations research by indian authors: Introductory Operations Research Harvir Singh Kasana, Krishna Dev Kumar, 2004-08-03 Each concept is discussed from the basics and supported by sufficient mathematical background and worked examples. Suitable for individual or group learning, the book offers numerous end-of-chapter problems for study and review. |
books on operations research by indian authors: Operations Management B. Mahadevan, 2010 Covers the core concepts and theories of production and operations management in the global as well as Indian context. Includes boxes, solved numerical examples, real-world examples and case studies, practice problems, and videos. Focuses on strategic decision making, design, planning, and operational control--Provided by publisher. |
books on operations research by indian authors: OPERATIONS RESEARCH R. PANNEERSELVAM, 2006-01-01 The second edition of this well-organized and comprehensive text continues to provide an in-depth coverage of the theory and applications of operations research. It emphasizes the role of operations research not only as an effective decision-making tool, but also as an essential productivity improvement tool to deal with real-world management problems. This New Edition includes new carefully designed numerical examples that help in understanding complex mathematical concepts better. The book is an easy read, explaining the basics of operations research and discussing various optimization techniques such as linear and non-linear programming, dynamic programming, goal programming, parametric programming, integer programming, transportation and assignment problems, inventory control, and network techniques. It also gives a comprehensive account of game theory, queueing theory, project management, replacement and maintenance analysis, and production scheduling. NEW TO THIS EDITION Inclusion of quantity discount models for transportation problem. Updated inventory control model and detailed discussion on application of dynamic programming in the fields of cargo loading and single-machine scheduling. Numerous new examples that explain the operations research concepts better. New questions with complete solutions to selected problems. This book, with its many student friendly features, would be eminently suitable as a text for students of engineering (mechanical, production and industrial engineering), management, mathematics, statistics, and postgraduate students of commerce and computer applications (MCA). |
books on operations research by indian authors: Operations Research K. Chandrasekhara Rao, Shanti Lata Mishra, 2005 This text develops the fundamental principles of operations research. It encompasses topics such as graphical and simplex methods, duality, transportation and assignment problems, game theory, and dynamic and integer programming problems. |
books on operations research by indian authors: OPERATIONS RESEARCH N. K. TIWARI, SHISHIR K. SHANDILYA, 2006-01-01 Primarily intended for postgraduate students of management and computer applications, this book presents the theory and applications of operations research in an easy-to-read style. It introduces the readers to various models of operations research, such as transportation model, assignment model, inventory model, queuing model, replacement model, sequencing model, and integer programming model. The various methods to solve real-life problems faced by managers are also fully analyzed. Separate chapters are devoted to Linear Programming, Decision Theory, Game Theory, Dynamic Programming, and Project Management, which greatly help the decision-making process. The text features numerous fully worked-out examples, a fairly large number of exercises, and end-of-chapter theoretical questions which enhance the value of the text. Besides postgraduate students of management (MBA), computer applications (MCA), commerce, mathematics, and statistics, students of engineering will also find this text extremely useful. |
books on operations research by indian authors: Operations Research in Development Sector Arabinda Tripathy, Rabi Narayan Subudhi, Srikanta Patnaik, Jyotiranjan Nayak, 2018-08-28 This book analyzes the underlying theoretical principles of multi-objective linear programming problems with multi-choice parameters. It studies transportation problems on the same domain with extension to fuzzy stochastic criteria, and offers insights into sensitivity analysis through symmetric duality and complementarity using non-convex programming. These analytical presentations provide ample scope for researchers to contemplate real-world problems with an innovative vision. The formulation, analysis and solution procedures on inventory control models in the book use both deterministic and fuzzy parameters, and provide novel optimal inventory policies. The book discusses a wide range of optimal operational techniques for policy makers, government and private agencies in the fields of e-governance and agricultural crop insurance, which are crucial for developing countries. The recommendations address the gaps and remedies in various schemes that influence decision-making in the context of the economic development of such countries. |
books on operations research by indian authors: Manufacturing and Operations Management , |
books on operations research by indian authors: Operations Research for Management G. V. Shenoy, U. K. Srivastava, S. C. Sharma, 1986 |
books on operations research by indian authors: Operations Research Methods And Practice C. K. Mustafi, 1996 Written With The Dual Purpose Of In Depth Study Of Operations Research And Creating An Awareness About Its Applicability The Third Edition Of The Book Covers Diverse Topics Such As Linear Programming, Network Planning, Inventory Control, Waiting Line Problems, Simulation, Problems Of Replacement, Reliability And Elements Of Non-Linear Programming With Appropriate Rigour. It Also Includes Real Life Applications Of Operations Manufacturing To Make The Readers Familiar With Operations Research Methodology. The Book Also Contains Numerous Examples And Exercises With Answers To Help The Students Develop Problem Solving Skill. The New Edition Also Presents Computer Programmes To Be Used On A Personal Computer For The Benefit Of The Students With A Computer Orientation. |
books on operations research by indian authors: OPERATIONS RESEARCH : PRINCIPLES AND APPLICATIONS SRINIVASAN, G., 2017-06-01 This text, now in the Third Edition, aims to provide students with a clear, well-structured and comprehensive treatment of the theory and applications of operations research. The methodology used is to first introduce the students to the fundamental concepts through numerical illustrations and then explain the underlying theory, wherever required. Inclusion of case studies in the existing chapters makes learning easier and more effective. The book introduces the readers to various models of Operations Research (OR), such as transportation model, assignment model, inventory models, queueing theory and integer programming models. Various techniques to solve OR problems’ faced by managers are also discussed. Separate chapters are devoted to Linear Programming, Dynamic Programming and Quadratic Programming which greatly help in the decision-making process. The text facilitates easy comprehension of topics by the students due to inclusion of: • Examples and situations from the Indian context. • Numerous exercise problems arranged in a graded manner. • A large number of illustrative examples. The text is primarily intended for the postgraduate students of management, computer applications, commerce, mathematics and statistics. Besides, the undergraduate students of mechanical engineering and industrial engineering will find this book extremely useful. In addition, this text can also be used as a reference by OR analysts and operations managers. NEW TO THE THIRD EDITION • Includes two new chapters: – Chapter 14: Project Management—PERT and CPM – Chapter 15: Miscellaneous Topics (Game Theory, Sequencing and Scheduling, Simulation, and Replacement Models) • Incorporates more examples in the existing chapters to illustrate new models, algorithms and concepts • Provides short questions and additional numerical problems for practice in each chapter |
books on operations research by indian authors: Linear and Integer Programming Abdul Bari, Mohammad Faisal Khan, Sanaullah Khan, 2019-10-25 This book is primarily intended for undergraduate and postgraduate students of statistics, mathematics, operations research, and engineering. It provides the basic concepts and methods of linear and integer linear programming. The text begins with an introduction containing the mathematical background to the subject matter, and goes on to discuss advancements the field. Formulations of various problems in diverse fields in linear and integer programming formats are also presented here. The book’s presentation of the solution of various numerical problems makes the subject matter and the methods detailed in the text more lucid and easier to comprehend. |
books on operations research by indian authors: Data Analytics, Computational Statistics, and Operations Research for Engineers Debabrata Samanta, SK Hafizul Islam, Naveen Chilamkurti, Mohammad Hammoudeh, 2022-04-05 With the rapidly advancing fields of Data Analytics and Computational Statistics, it’s important to keep up with current trends, methodologies, and applications. This book investigates the role of data mining in computational statistics for machine learning. It offers applications that can be used in various domains and examines the role of transformation functions in optimizing problem statements. Data Analytics, Computational Statistics, and Operations Research for Engineers: Methodologies and Applications presents applications of computationally intensive methods, inference techniques, and survival analysis models. It discusses how data mining extracts information and how machine learning improves the computational model based on the new information. Those interested in this reference work will include students, professionals, and researchers working in the areas of data mining, computational statistics, operations research, and machine learning. |
books on operations research by indian authors: Linear Programming with MATLAB Michael C. Ferris, Olvi L. Mangasarian, Stephen J. Wright, 2007-01-01 A self-contained introduction to linear programming using MATLAB® software to elucidate the development of algorithms and theory. Exercises are included in each chapter, and additional information is provided in two appendices and an accompanying Web site. Only a basic knowledge of linear algebra and calculus is required. |
books on operations research by indian authors: Operations Research P. Rama Murthy, 2007 |
books on operations research by indian authors: Operations Research and Optimization Samarjit Kar, Ujjwal Maulik, Xiang Li, 2018-04-06 This book discusses recent developments in the vast domain of optimization. Featuring papers presented at the 1st International Conference on Frontiers in Optimization: Theory and Applications (FOTA 2016), held at the Heritage Institute of Technology, Kolkata, on 24–26 December 2016, it opens new avenues of research in all topics related to optimization, such as linear and nonlinear optimization; combinatorial-, stochastic-, dynamic-, fuzzy-, and uncertain optimization; optimal control theory; as well as multi-objective, evolutionary and convex optimization and their applications in intelligent information and technology, systems science, knowledge management, information and communication, supply chain and inventory control, scheduling, networks, transportation and logistics and finance. The book is a valuable resource for researchers, scientists and engineers from both academia and industry. |
books on operations research by indian authors: Non-Linear Programming Nita H. Shah, Poonam Prakash Mishra, 2020-12-16 This book is for beginners who are struggling to understand and optimize non-linear problems. The content will help readers gain an understanding and learn how to formulate real-world problems and will also give insight to many researchers for their future prospects. It proposes a mind map for conceptual understanding and includes sufficient solved examples for reader comprehension. The theory is explained in a lucid way. The variety of examples are framed to raise the thinking level of the reader and the formulation of real-world problems are included in the last chapter along with applications. The book is self-explanatory, well synchronized and written for undergraduate, post graduate and research scholars. |
books on operations research by indian authors: Design and Analysis of Closed-Loop Supply Chain Networks Subramanian Pazhani, 2021-04-30 Closed Loop Supply Chains and its management have become mandatory for firms to stay competitive and profitable. This book provides insights for designing supply chain networks by understanding and incorporating key return parameters into the network design, which will affect profitability. The book discusses how customer categories and their acceptance behavior is incorporated into the network design. It will also show how to analyze the interaction of parameters on supply chain network design and profitability, offers modeling framework for incorporating uncertainties in the return product parameters, and how to design a robust network. Invaluable for managers in designing a sustainable, robust, and profitable supply chain network and ideal for managers, practitioners, and researchers in the area of supply chain network design and optimization. |
books on operations research by indian authors: Introduction to Operations Research Gupta, Prem Kumar/ Hira D.S. & Kamboj Aarti, 2022 FOR STUDENTS OF COMMERCE,MANAGEMENT, ACCOUNTANCY, AND ECONOMICS |
books on operations research by indian authors: Responsible Business Operations Jayashankar M. Swaminathan, Vinayak Deshpande, 2021-02-09 This book presents state-of-the-art research on responsible operations practices. The book identifies the challenges and opportunities arising from the shift towards responsible business operations and examines these issues through the lenses of operations management, emphasizing the supply chain transformations associated with these changes. Developing a responsible business model presents a great opportunity for firms to differentiate in the marketplace through innovative models and insights around responsible operations and supply chain management. To do so, companies in many industries are changing their practices around sourcing materials, supplier compliance around processes and labor, scientific and sustainable approaches to farming in emerging countries, managing counterfeiting risks, and public health management. Responsible Business Operations: Challenges and Opportunities is divided into three sections. Section 1 focuses on environmental responsibility for companies. It also explores alternative energy solutions for both the developed and developing world, as well as worldwide carbon footprint reduction efforts. Section 2 is dedicated to social responsibility, with chapters covering topics including improving agricultural food chains and humanitarian challenges for businesses. Finally Section 3 promotes ethical responsibility, analyzing ways to improve supplier compliance to product, process and ethical standards. |
books on operations research by indian authors: Introduction to Operations Research Frederick S. Hillier, Gerald J. Lieberman, 1990 |
books on operations research by indian authors: Operation Research: Techniques for Management V K Kapoor, Kapur Sumant, 2001 |
books on operations research by indian authors: Advanced Optimization and Operations Research Asoke Kumar Bhunia, Laxminarayan Sahoo, Ali Akbar Shaikh, 2020-01-09 This textbook provides students with fundamentals and advanced concepts in optimization and operations research. It gives an overview of the historical perspective of operations research and explains its principal characteristics, tools, and applications. The wide range of topics covered includes convex and concave functions, simplex methods, post optimality analysis of linear programming problems, constrained and unconstrained optimization, game theory, queueing theory, and related topics. The text also elaborates on project management, including the importance of critical path analysis, PERT and CPM techniques. This textbook is ideal for any discipline with one or more courses in optimization and operations research; it may also provide a solid reference for researchers and practitioners in operations research. |
books on operations research by indian authors: QUANTITATIVE MODELS IN OPERATIONS AND SUPPLY CHAIN MANAGEMENT SRINIVASAN, G., 2017-11-01 The thoroughly revised and updated book, now in its second edition, continues to present a comprehensive view of the concepts and applications of various quantitative models used in the study of operations and supply chain management. It provides a complete account of location and layout models, production planning models, production control models, cycle inventory models, safety stock models and transportation models. A separate chapter on real-life situations provides the user with the knowledge of specific areas where the models have been applied in decision-making processes. The various techniques to solve operations and supply chain management problems are also discussed. The text is supported by a large number of illustrative examples, exercises and review questions to reinforce the students’ understanding of the subject matter. Designed as a textbook for the students of mechanical and industrial engineering, the book would also be useful to postgraduate students of management. NEW TO THE SECOND EDITION • Two new chapters on ‘Production Control—Additional Approaches’ (Chapter 6) and ‘Materials Planning and Lot Sizing’ (Chapter 8) • Forecasting and Aggregate Planning are described in two separate chapters • Each chapter includes new sections, additional examples, illustrations, short questions and exercises • Provides solutions to the exercises |
books on operations research by indian authors: Pharmaceutical Operations Management Pankaj Mohan, Jarka Glassey, Gary A. Montague, 2006-03-16 Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. This book brings together a winning team of international operations experts to set the framework for building a world-class manufacturing organization. Pharmaceutical Operations Management focuses on key concepts such as: Policy Execution, Risk Management, Supply chain modeling, Advance process control and Six Sigma for the pharmaceutical industry: critical techniques which will offset cost, increase efficiency and turn any manufacture into financial winner. |
books on operations research by indian authors: Kirshna's Operations Research , |
books on operations research by indian authors: Mathematical Models of Infectious Diseases and Social Issues Shah, Nita H., Mittal, Mandeep, 2020-06-26 When deadly illness spreads through a population at a rapid pace, time may be of the essence in order to save lives. Using mathematics as a language to interpret assumptions concerning the biological and population mechanics, one can make predictions by analyzing actual epidemiological data using mathematical tests and results. Mathematical models can help us understand the right disease status and predict the effects of the disease on populations, which can help limit the spread and devastation of the illness. Mathematical Models of Infectious Diseases and Social Issues is a collection of innovative research that examines the dynamics of diseases and their effect on populations. Featuring coverage of a broad range of topics including deterministic models, environmental pollution, and social issues, this book is ideally designed for diagnosticians, clinicians, healthcare providers, pharmacists, government health officials, policymakers, academicians, researchers, and students. |
books on operations research by indian authors: Mathematical Modeling and Computation of Real-Time Problems Rakhee Kulshrestha, Chandra Shekhar, Madhu Jain, Srinivas R. Chakravarthy, 2021-01-04 This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling. |
books on operations research by indian authors: Principles of Operations Management Amitabh S. Raturi, James R. Evans, 2005 Raturi's Principles of Operations Management is an abbreviated operations management book aimed specifically at the 4 to 10 week long MBA-level OM course. |
books on operations research by indian authors: Production And Operations Management S. Anil Kumar, N. Suresh, 2006 This Book Presents Lucid Treatment Of A Wide Range Of Issues Involved In Production And Operations Management. It Focuses On The Latest Techniques In Production Planning And Control Considered To Be Pivotal For Organizations, Which Aim At Maximizing Their Productivity And Profitability.The Book Further Discusses In Detail The Production System Concept, Facility Location, Plant Layout Design, Production Scheduling, Mass Production Techniques Such As Assembly Line Balancing Maintenance Planning And Control, Scheduling, Quality Control; And Modern Production Management Tools That Include Cim, Tqm And Iso 9000 Series.Primarily Designed As A Textbook For Various Courses Like Bbm, Bba, B.Com., Mba And Also Useful For Students Pursuing Courses, Production And Operations Management, Mechanical, Industrial And Production Engineering Of Bangalore And Other Indian Universities.Salient Features: * Book Is Written In Simple And Lucid Style * Contents Are Presented In A Most Meticulous Manner * Charts Are Provided For Easy Understanding Of The Concepts * Exercises Are Designed For Self-Evaluation And Include Objective Type, Analytical Type And Application Type Questions * Contains Examination Question Bank * Contains Exhaustive Glossary Of Terminologies * Focuses On Materials Management Concepts And Techniques * Focuses On Plant Location And Layout Concepts * Focuses On Statistical Quality Control Concepts And Technique * Focuses On Industrial Engineering Concepts Such As Time Motion Study, Maintenance Management, Waste Management & Automation |
books on operations research by indian authors: Mathematical Aspects of Scheduling and Applications R. Bellman, A. O. Esogbue, I. Nabeshima, 2014-05-20 Mathematical Aspects of Scheduling and Applications addresses the perennial problem of optimal utilization of finite resources in the accomplishment of an assortment of tasks or objectives. The book provides ways to uncover the core of these problems, presents them in mathematical terms, and devises mathematical solutions for them. The book consists of 12 chapters. Chapter 1 deals with network problems, the shortest path problem, and applications to control theory. Chapter 2 stresses the role and use of computers based on the decision-making problems outlined in the preceding chapter. Chapter 3 classifies scheduling problems and their solution approaches. Chapters 4 to 6 discuss machine sequencing problems and techniques. Chapter 5 tackles capacity expansion problems and introduces the technique of embedded state space dynamic programming for reducing dimensionality so that larger problems can be solved. Chapter 6 then examines an important class of network problems with non-serial phase structures and exploits dimensionality reduction techniques, such as the pseudo-stage concept, branch compression, and optimal order elimination methods to solve large-scale, nonlinear network scheduling problems. Chapters 7 to 11 consider the flow-shop scheduling problem under different objectives and constraints. Chapter 12 discusses the job-shop-scheduling problem. The book will be useful to economists, planners, and graduate students in the fields of mathematics, operations research, management science, computer science, and engineering. |
books on operations research by indian authors: Simulation-Based Optimization Abhijit Gosavi, 2003-06-30 Simulation-Based Optimization: Parametric Optimization Techniques and Reinforcement Learning introduces the evolving area of simulation-based optimization. The book's objective is two-fold: (1) It examines the mathematical governing principles of simulation-based optimization, thereby providing the reader with the ability to model relevant real-life problems using these techniques. (2) It outlines the computational technology underlying these methods. Taken together these two aspects demonstrate that the mathematical and computational methods discussed in this book do work. Broadly speaking, the book has two parts: (1) parametric (static) optimization and (2) control (dynamic) optimization. Some of the book's special features are: *An accessible introduction to reinforcement learning and parametric-optimization techniques. *A step-by-step description of several algorithms of simulation-based optimization. *A clear and simple introduction to the methodology of neural networks. *A gentle introduction to convergence analysis of some of the methods enumerated above. *Computer programs for many algorithms of simulation-based optimization. |
books on operations research by indian authors: Optimization Models in Software Reliability Anu G. Aggarwal, Abhishek Tandon, Hoang Pham, 2021-09-29 The book begins with an introduction to software reliability, models and techniques. The book is an informative book covering the strategies needed to assess software failure behaviour and its quality, as well as the application of optimization tools for major managerial decisions related to the software development process. It features a broad range of topics including software reliability assessment and apportionment, optimal allocation and selection decisions and upgradations problems. It moves through a variety of problems related to the evolving field of optimization of software reliability engineering, including software release time, resource allocating, budget planning and warranty models, which are each explored in depth in dedicated chapters. This book provides a comprehensive insight into present-day practices in software reliability engineering, making it relevant to students, researchers, academics and practising consultants and engineers. |
books on operations research by indian authors: Opportunities and Challenges in Development Simanti Bandyopadhyay, Mousumi Dutta, 2019-09-28 This book provides a broad overview of the current research on various aspects of development, with a focus on India. The content and treatment of the subject of development in this volume is distinctive in many ways. It is a balanced mix of theory and practical elements, dealing with a number of issues at micro as well as macro levels. The analyses of the current socio-economic problems are attempted in an elegant yet simple manner which makes it equally useful for an aspiring researcher in economics or any inter disciplinary field. The methodologies of the articles include analytical verbal argumentative logic, theoretical constructs or different versions of statistical, econometric or programming techniques. It also contains well written survey articles, which are useful in grasping the fundamental research issues and in tracing the progress of research in an area. The general scope of the book is very wide as the readership can include researchers, scholars, graduate and undergraduate students, policy makers and practitioners. Though the contributors are primarily scholars in the field of Economics or Statistics, the book contains useful takeaways for those working in the area of Development. It will also be of interest to policy makers and practitioners interested in development issues, and to post graduate students in Economics or any field, in social science, management or development. |
books on operations research by indian authors: Business Statistics & Operations Research Dr. S.P. Gupta, Dr. P.K. Gupta, Dr. Man Mohan, 2022-08-10 The book entitled Business Statistics & Operation Research is designed primarily for B.Com., B.Com. (H) & BBA students of Madras University & other Universities having similar syllabus. Salient features of the book are: 1. The book is written in a very simple and lucid style and is self-explanatory in character. 2. The book covers the syllabus of Business Statistics and Operations Research for the students of B.Com. and BBA. 3. Sufficient number of solved examples and illustrations are given in each chapter to explain various techniques of Statistics and Operation Research. 4. Unsolved questions are given in the form of exercise followed by their answers for self practice. 5. At the end of each chapter, multiple-choice questions followed by review exercise, based on theoretical questions are given. |
books on operations research by indian authors: Supply Chain Management in Manufacturing and Service Systems Sharan Srinivas, Suchithra Rajendran, Hans Ziegler, 2021-06-25 Management of supply chains has been evolving rapidly over the last few years due to the inception of Industry 4.0, where businesses adopt automation technologies and data exchanges leading to dynamic and interconnected supply chain systems. Emphasizing on analytical approaches such as predictive and prescriptive modeling, this book presents state-of-the-art original research work dealing with advanced analytical models for the design, planning, and operation of the supply chain to provide faster and smarter decisions in the era of digitization. In particular, the book integrates machine learning and operations research models for faster and smarter decisions, presents prescriptive analytics models for strategic, tactical, and operational decision making in the supply chain, and addresses recent challenges such as sustainability in the supply chain, supply chain visibility, and supply chain digitalization. Key concepts are illustrated using real-life case studies, making the book a valuable reference for researchers, technical professionals, and students. |
books on operations research by indian authors: Matrix and Determinant Nita H. Shah, Foram A. Thakkar, 2020-12-20 This book provides a clear understanding regarding the fundamentals of matrix and determinant from introduction to its real-life applications. The topic is considered one of the most important mathematical tools used in mathematical modelling. Matrix and Determinant: Fundamentals and Applications is a small self-explanatory and well synchronized book that provides an introduction to the basics along with well explained applications. The theories in the book are covered along with their definitions, notations, and examples. Illustrative examples are listed at the end of each covered topic along with unsolved comprehension questions, and real-life applications. This book provides a concise understanding of matrix and determinate which will be useful to students as well as researchers. |
books on operations research by indian authors: Introduction to Operations Research (Eleventh Edition) Frederick S. Hillier, Gerald J. Lieberman, 2021 |
books on operations research by indian authors: Operations Research Wayne L. Winston, 1987 |
books on operations research by indian authors: Indian Transport Towards the New Millennium R. Ramanathan, 2004 Presents Performance And Policy Analysis Of Indian Transport Sector-An Overview Of General Aspects Of Transport Sectors-Performance Of-Railways, Roads, Airways And Water Ways And The Latest Trends In Energy Consuption And Environmental Emissions. Divided Into 3 Parts And Has 12 Chapters And 2 Appendices. |
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