Average Cost Control Of Stochastic Manufacturing Systems
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Average Cost Control Of Stochastic Manufacturing Systems
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Author : Suresh P. Sethi
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-22
Average Cost Control Of Stochastic Manufacturing Systems written by Suresh P. Sethi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-22 with Business & Economics categories.
This book articulates a new theory that shows that hierarchical decision making can in fact lead to a near optimization of system goals. The material in the book cuts across disciplines. It will appeal to graduate students and researchers in applied mathematics, operations management, operations research, and system and control theory.
Average Cost Control Of Stochastic Manufacturing Systems
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Author : Suresh P. Sethi
language : en
Publisher:
Release Date : 2005
Average Cost Control Of Stochastic Manufacturing Systems written by Suresh P. Sethi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Cost accounting categories.
Most manufacturing systems are large, complex, and operate in an environment of uncertainty. It is common practice to manage such systems in a hierarchical fashion. This book articulates a new theory that shows that hierarchical decision making can in fact lead to a near optimization of system goals. The material in the book cuts across disciplines. It will appeal to graduate students and researchers in applied mathematics, operations management, operations research, and system and control theory.
Minimum Average Cost Production Planning In Stochastic Manufacturing Systems
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Author : Suresh Sethi
language : en
Publisher:
Release Date : 2014
Minimum Average Cost Production Planning In Stochastic Manufacturing Systems written by Suresh Sethi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Recently, the production control problem in stochastic manufacturing systems has generated a great deal of interest. The goal is to obtain production rates to minimize total expected surplus and production cost. This paper reviews the research devoted to minimum average cost production planning problems in stochastic manufacturing systems. Manufacturing systems involve a single or parallel failure-prone machines producing a number of different products, random production capacity, and constant demands.
Hierarchical Production Controls For A Stochastic Manufacturing System With Long Run Average Cost
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Author : Suresh Sethi
language : en
Publisher:
Release Date : 2008
Hierarchical Production Controls For A Stochastic Manufacturing System With Long Run Average Cost written by Suresh Sethi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
This paper presents an extension of earlier research on hierarchical control of stochastic manufacturing systems with long-run average cost in which a positive inventory deterioration/cancellation rate for each product is assumed. Here we drop the assumption of the positive inventory deterioration/cancellation rate for each product, and give an asymptotic analysis of the manufacturing systems as the rates of change of the machine states approach infinity. We obtain a limiting problem in which the stochastic machine availability is replaced by its equilibrium mean availability. We use a near optimal control of the limiting problem to construct nearly asymptotically optimal open-loop piecewise deterministic controls for the original problem.
Stochastic Modeling Of Manufacturing Systems
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Author : George Liberopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-12
Stochastic Modeling Of Manufacturing Systems written by George Liberopoulos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-12 with Business & Economics categories.
Manufacturing systems rarely perform exactly as expected and predicted. Unexpected events, such as order changes, equipment failures and product defects, affect the performance of the system and complicate decision-making. This volume is devoted to the development of analytical methods aiming at responding to variability in a way that limits its corrupting effects on system performance. The book includes fifteen novel chapters that mostly focus on the development and analysis of performance evaluation models of manufacturing systems using decomposition-based methods, Markovian and queuing analysis, simulation, and inventory control approaches. They are organized into four distinct sections to reflect their shared viewpoints: factory design, unreliable production lines, queuing network models, production planning and assembly.
Hierarchical Decision Making In Stochastic Manufacturing Systems
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Author : Suresh P. Sethi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hierarchical Decision Making In Stochastic Manufacturing Systems written by Suresh P. Sethi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
One of the most important methods in dealing with the optimization of large, complex systems is that of hierarchical decomposition. The idea is to reduce the overall complex problem into manageable approximate problems or subproblems, to solve these problems, and to construct a solution of the original problem from the solutions of these simpler prob lems. Development of such approaches for large complex systems has been identified as a particularly fruitful area by the Committee on the Next Decade in Operations Research (1988) [42] as well as by the Panel on Future Directions in Control Theory (1988) [65]. Most manufacturing firms are complex systems characterized by sev eral decision subsystems, such as finance, personnel, marketing, and op erations. They may have several plants and warehouses and a wide variety of machines and equipment devoted to producing a large number of different products. Moreover, they are subject to deterministic as well as stochastic discrete events, such as purchasing new equipment, hiring and layoff of personnel, and machine setups, failures, and repairs.
Hierarchical Production Control In A Stochastic Manufacturing System With Long Run Average Cost
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Author : Suresh Sethi
language : en
Publisher:
Release Date : 2009
Hierarchical Production Control In A Stochastic Manufacturing System With Long Run Average Cost written by Suresh Sethi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
This paper presents an asymptotic analysis of a stochastic manufacturing system consisting of parallel machines subject to breakdown and repair and facing a constant demand, as the rates of change of the machine states approach infinity. This situation gives rise to a limiting problem in which the stochastic machine availability is replaced by its equilibrium mean availability. The long-run average cost for the original problem converges to the long-run average cost of the limiting problem. Open-loop and feedback controls for the original problem are constructed from optimal controls of the limiting problem in a way that guarantees their asymptotic optimality. The convergence rate of the long-run average cost for the original problem to that of the limiting problem is established. This helps in providing an error estimate for the constructed open-loop asymptotic optimal control.
Hierarchical Production Planning In A Stochastic Manufacturing System With Long Run Average Cost
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Author : Suresh Sethi
language : en
Publisher:
Release Date : 2008
Hierarchical Production Planning In A Stochastic Manufacturing System With Long Run Average Cost written by Suresh Sethi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
This paper deals with an asymptotic analysis of hierarchical production planning in stochastic manufacturing systems consisting of a single or parallel failure-prone machines producing a number of different products without attrition. The objective is to choose production rates over time in order to minimize the long-run average expected cost of production and surplus. As the rate of machine break-down and repair approaches infinity, the analysis results in a limiting problem in which the stochatic machine capacity is replaced by the equilibrium mean capacity. The optimal value for the original problem is proved to converge to the optimal value of the limiting problem. This suggests a heuristic to construct an open-loop control for the original stochastic problem from the open-loop control of the limiting deterministic problem. We as well as obtain error bound estimates for constructed open-loop controls.
Handbook Of Stochastic Models And Analysis Of Manufacturing System Operations
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Author : J. MacGregor Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-17
Handbook Of Stochastic Models And Analysis Of Manufacturing System Operations written by J. MacGregor Smith and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-17 with Business & Economics categories.
This handbook surveys important stochastic problems and models in manufacturing system operations and their stochastic analysis. Using analytical models to design and control manufacturing systems and their operations entail critical stochastic performance analysis as well as integrated optimization models of these systems. Topics deal with the areas of facilities planning, transportation, and material handling systems, logistics and supply chain management, and integrated productivity and quality models covering: • Stochastic modeling and analysis of manufacturing systems • Design, analysis, and optimization of manufacturing systems • Facilities planning, transportation, and material handling systems analysis • Production planning, scheduling systems, management, and control • Analytical approaches to logistics and supply chain management • Integrated productivity and quality models, and their analysis • Literature surveys of issues relevant in manufacturing systems • Case studies of manufacturing system operations and analysis Today’s manufacturing system operations are becoming increasingly complex. Advanced knowledge of best practices for treating these problems is not always well known. The purpose of the book is to create a foundation for the development of stochastic models and their analysis in manufacturing system operations. Given the handbook nature of the volume, introducing basic principles, concepts, and algorithms for treating these problems and their solutions is the main intent of this handbook. Readers unfamiliar with these research areas will be able to find a research foundation for studying these problems and systems.
Diffusion Approximation For A Controlled Stochastic Manufacturing System With Average Cost Minimization
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Author : Elena Krichagina
language : en
Publisher:
Release Date : 2017
Diffusion Approximation For A Controlled Stochastic Manufacturing System With Average Cost Minimization written by Elena Krichagina and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
We consider the problem of production control in a single machine, single product, unreliable manufacturing system facing a constant demand d. The goal is to minimize the expected average (per unit time) inventory/backlog costs. Under heavy traffic condition, i.e., when the average production capacity is close to demand, the problem is approximated by a singular stochastic control problem. The approximate problem can be solved explicitly. The solution is then interpreted in terms of the actual manufacturing system and a control policy for this system is derived. We prove that the resulting policy is nearly optimal under the heavy traffic condition. This policy is characterized by a critical level z0. That is, produce at maximal rate r when inventory is less than z0 and at the demand rate d when the inventory is equal to z0. The quality of the approximate control is also discussed by comparing it to known results, when they are available.