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This book presents a first attempt to systematically collect,
classify and solve various continuous-time scheduling problems. The
classes of problems distinguish scheduling by the number of
machines and products, production constraints and performance
measures. Although such classes are usually considered to be a
prerogative of only combinatorial scheduling literature, the
scheduling methodology suggested in this book is based on two
mathematical tools - optimal control and combinatorics. Generally
considered as belonging to two totally different areas of research
and application, these seemingly irreconcilable tools can be
integrated in a unique solution approach with the advantages of
both. This new approach provides the possibility of developing
effective polynomial-time algorithms to solve the generic
scheduling problems. This book is aimed at a student audience -
final year undergraduates as well as master and Ph.D. students,
primarily in Operations Research, Management, Industrial
Engineering and Control Systems. Indeed, some of the material in
the book has formed part of the content of undergraduate and
graduate courses taught at the Industrial Engineering Department of
Tel-Aviv University, the Logistics Department of Bar-Ilan
University and the Technology Management Department of Rolon Center
for Technological Education, Israel. The book is also useful for
practicing engineers interested in planning, scheduling and
optimization methods. Since the book addresses the theory and
design of computer-based scheduling algorithms, applied
mathematicians and computer software specialists engaged in
developing scheduling software for industrial engineering and
management problems will find that the methods developed here can
be embedded very efficiently in large applications.
This book presents a unified optimal control approach to a large
class of problems arising in the field of production planning and
scheduling. It introduces a leading optimal flow control paradigm
which results in efficient solutions for planning and scheduling
problems. This book also introduces the reader to analytical and
numerical methods of the maximum principle, used here as a
mathematical instrument in modeling and solving production planning
and scheduling problems. The book examines control of production
flows rather than sequencing of distinct jobs. Methodologically,
this paradigm allows us to progress from initial assumptions about
a manufacturing environment, through mathematical models and
construction of numerical methods, up to practical applications
which prove the relevance of the theory developed here to the real
world. Given a manufacturing system, the goal is to control the
production, subject to given constraints, in such a way that the
demands are tracked as closely as possible. The book considers a
wide variety of problems encountered in actual production planning
and scheduling. Among the problems are production flow sequencing
and timing, capacity expansion and deterioration, subcontracting
and overtime. The last chapter is entirely devoted to applications
of the theory to scheduling production flows in real-life
manufacturing systems. The enclosed disk provides software
implementations of the developed methods with easy, convenient user
interface. We aimed this book at a student audience - final year
undergraduates as weIl as master and Ph. D.
This book presents a first attempt to systematically collect,
classify and solve various continuous-time scheduling problems. The
classes of problems distinguish scheduling by the number of
machines and products, production constraints and performance
measures. Although such classes are usually considered to be a
prerogative of only combinatorial scheduling literature, the
scheduling methodology suggested in this book is based on two
mathematical tools - optimal control and combinatorics. Generally
considered as belonging to two totally different areas of research
and application, these seemingly irreconcilable tools can be
integrated in a unique solution approach with the advantages of
both. This new approach provides the possibility of developing
effective polynomial-time algorithms to solve the generic
scheduling problems. This book is aimed at a student audience -
final year undergraduates as well as master and Ph.D. students,
primarily in Operations Research, Management, Industrial
Engineering and Control Systems. Indeed, some of the material in
the book has formed part of the content of undergraduate and
graduate courses taught at the Industrial Engineering Department of
Tel-Aviv University, the Logistics Department of Bar-Ilan
University and the Technology Management Department of Rolon Center
for Technological Education, Israel. The book is also useful for
practicing engineers interested in planning, scheduling and
optimization methods. Since the book addresses the theory and
design of computer-based scheduling algorithms, applied
mathematicians and computer software specialists engaged in
developing scheduling software for industrial engineering and
management problems will find that the methods developed here can
be embedded very efficiently in large applications.
This book presents a unified optimal control approach to a large
class of problems arising in the field of production planning and
scheduling. It introduces a leading optimal flow control paradigm
which results in efficient solutions for planning and scheduling
problems. This book also introduces the reader to analytical and
numerical methods of the maximum principle, used here as a
mathematical instrument in modeling and solving production planning
and scheduling problems. The book examines control of production
flows rather than sequencing of distinct jobs. Methodologically,
this paradigm allows us to progress from initial assumptions about
a manufacturing environment, through mathematical models and
construction of numerical methods, up to practical applications
which prove the relevance of the theory developed here to the real
world. Given a manufacturing system, the goal is to control the
production, subject to given constraints, in such a way that the
demands are tracked as closely as possible. The book considers a
wide variety of problems encountered in actual production planning
and scheduling. Among the problems are production flow sequencing
and timing, capacity expansion and deterioration, subcontracting
and overtime. The last chapter is entirely devoted to applications
of the theory to scheduling production flows in real-life
manufacturing systems. The enclosed disk provides software
implementations of the developed methods with easy, convenient user
interface. We aimed this book at a student audience - final year
undergraduates as weIl as master and Ph. D.
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