Capacity and Production Decisions in Stochastic Manufacturing Systems

Capacity and Production Decisions in Stochastic Manufacturing Systems
Author: Michael I. Taksar
Publisher:
Total Pages: 0
Release: 2008
Genre:
ISBN:

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We present a new paradigm of hierarchical decision making in production planning and capacity expansion problems under uncertainty. We show that under reasonable assumptions, the strategic level management can base the capacity decision on aggregated information from the shop floor, and the operational level management, given this decision, can derive a production plan for the system, without too large a loss in optimality when compared to simultaneous determination of optimal capacity and The results are obtained via an asymptotic analysis of a manufacturing system with convex costs, constant demand, and with machines subject to random breakdown and repair. The decision variables are purchase time of a new machine at a given fixed cost and production plans before and after the costs of investment, production, inventories, and backlogs. If the rate of change in machine states such as up and down is assumed to be much larger than the rate of discounting costs, one obtains a simpler limiting mean. We develop methods for constructing asymptotically optimal decisions for the original problem from the optimal decisions for the limiting problem. We obtain error estimates for these constructed decisions.

Hierarchical Capacity Expansion and Production Planning Decisions in Stochastic Manufacturing Systems

Hierarchical Capacity Expansion and Production Planning Decisions in Stochastic Manufacturing Systems
Author: Suresh Sethi
Publisher:
Total Pages: 0
Release: 2019
Genre:
ISBN:

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We present an approach of hierarchical decision making in production planning and capacity expansion problems under uncertainty. We show that under reasonable assumptions, the strategic level management can base the capacity decision on aggregated information from the shopfloor, and the operational level management, given this decision, can derive a production plan for the system, without too large a loss in optimality when compared to simultaneous determination of optimal capacity and production decisions.The results are obtained via an asymptotic analysis of hierarchical investment and production decisions in a manufacturing system with machines subject to breakdown and repair. The demand facing the system is assumed to be a deterministic monotone increasing function. The production capacity can be increased by purchasing a finite number of new machines over time. The control variables are a sequence of purchasing times and a production plan. The rate of change in machine states is assumed to be much larger than the rate of discounting of costs. This gives rise to a limiting problem in which the stochastic machine availability is replaced by the equilibrium mean availability. The value function for the original problem converges to the value function of the limiting problem. Three different methods are developed for constructing decisions for the original problem from the optimal solution of the limiting problem in a way which guarantees the asymptotic optimality of constructed decisions. Finally, it is shown that as the number of machine that could be purchased tends to infinity, the problem approximates the corresponding problem with no limit on number of machine purchases.

Hierarchical Decision Making in Stochastic Manufacturing Systems

Hierarchical Decision Making in Stochastic Manufacturing Systems
Author: Suresh P. Sethi
Publisher: Springer Science & Business Media
Total Pages: 420
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 146120285X

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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 Decomposition of Production and Capacity Investment Decisions in Stochastic Manufacturing Systems

Hierarchical Decomposition of Production and Capacity Investment Decisions in Stochastic Manufacturing Systems
Author: Suresh Sethi
Publisher:
Total Pages: 17
Release: 2019
Genre:
ISBN:

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This paper is concernced with hierarchical decisions regarding production and investment in capacity in manufacturing systems with production subject to breakdown and repair. The production capacity can be increased by investing continuously in new capacity which is available upon completion. The decision variables are the rates of production and investment in capacity. The investment rate is assumed to have an upper bound. If, as assumed, the rates of breakdown and repair of production equipment are much larger than the rate of discounting of costs, the given problem can be approximated by a simpler problem in which the stochastic production capacity is replaced by the average capacity. Asymptotically optimal controls for the given problem are constructed from nearly optimal controls of the limiting problem. In addition, we analyze the behavior of the solution as the investment rate is allowed to become arbitrarily large.

Stochastic Modeling of Manufacturing Systems

Stochastic Modeling of Manufacturing Systems
Author: George Liberopoulos
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2005-12-12
Genre: Business & Economics
ISBN: 3540290575

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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.

Handbook of Stochastic Models and Analysis of Manufacturing System Operations

Handbook of Stochastic Models and Analysis of Manufacturing System Operations
Author: J. MacGregor Smith
Publisher: Springer Science & Business Media
Total Pages: 397
Release: 2013-05-17
Genre: Business & Economics
ISBN: 1461467772

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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.

Design of Advanced Manufacturing Systems

Design of Advanced Manufacturing Systems
Author: Andrea Matta
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2005-04-25
Genre: Business & Economics
ISBN: 9781402029301

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This book presents a framework and specific methods and tools for the selection and configuration of the capacity of Advanced Manufacturing Systems (AMS). AMS include Flexible Manufacturing Systems, Dedicated Manufacturing Systems, and Reconfigurable Manufacturing Systems. Starting from the characteristic of the competitive environment, the directions given by the company strategy, data regarding the products, and information regarding the different system architectures, the decision support system described here aids the decision maker by means of a formalized methodology that follows the various steps required to define the type and timing of 'capacity' acquisition and to define the detailed configuration of AMS along its life cycle. The decision making framework and tools illustrated in this volume combine decision-making theory, optimization theory, discrete event simulation and queuing networks. It will be of interest to graduate students and researchers involved in manufacturing engineering, industrial engineering and operations research.

Average-Cost Control of Stochastic Manufacturing Systems

Average-Cost Control of Stochastic Manufacturing Systems
Author: Suresh P. Sethi
Publisher: Springer Science & Business Media
Total Pages: 323
Release: 2006-03-22
Genre: Business & Economics
ISBN: 0387276157

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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.

Handbook of Stochastic Analysis and Applications

Handbook of Stochastic Analysis and Applications
Author: D. Kannan
Publisher: CRC Press
Total Pages: 808
Release: 2001-10-23
Genre: Mathematics
ISBN: 1482294702

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An introduction to general theories of stochastic processes and modern martingale theory. The volume focuses on consistency, stability and contractivity under geometric invariance in numerical analysis, and discusses problems related to implementation, simulation, variable step size algorithms, and random number generation.

Stochastic Models of Manufacturing Systems

Stochastic Models of Manufacturing Systems
Author: John A. Buzacott
Publisher: Englewood Cliffs, N.J. : Prentice Hall
Total Pages: 586
Release: 1993
Genre: Business & Economics
ISBN:

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Outlining the major issues that have to be addressed in the design and operation of each type of system, this new text explores the stochastic models of a wide range of manufacturing systems. It covers flow lines, job shops, transfer lines, flexible manufacturing systems, flexible assembly systems, cellular systems, and more. For professionals working in the area of manufacturing system modelling.