Optimal flow control in manufacturing systems. Production planning and scheduling. Incl. 1 disk
type: Item
instance of: scholarly article
title: Optimal flow control in manufacturing systems. Production planning and scheduling. Incl. 1 disk
zbMATH Open document ID: 0947.90036
author: Eugene Khmelnitsky
author: Konstantin Kogan
author: Oded Maimon
published in: Applied Optimization
publication date: 1999-10-10T00:00:00Z
review text: In manufacturing industries, production planning and scheduling are concerned with effectively allocating the enterprise's capacity over a designated time horizon. This book deals with production planning and scheduling in plants where production is continuous in nature both in time and product quantity (as in, for example, process industries) under the assumption that demand profiles are deterministic and known as functions of time. These problems can range from simple one-item models to more general analysis of multi-item multi-resource manufacturing systems, and have been treated extensively in the literature by a variety of mathematical and dynamic programming formulations. The focus of this book is on formulating these same problems as optimal control problems and attempt to solve them using the maximum principle. The book begins with an explanation of the necessary optimality conditions for dynamic optimization problems in the form of the maximum principle, and its use in constructing iterative methods for approximating the solution. Then, control theory models for one-item single facility production and capacity planning problems with known demand profile and backlogs allowed are discussed. These models are treated numerically by shooting-based procedures, and the results explained in manufacturing terms of breaking the time horizon into sequences of full production, partial production, and no production regimes on the production side; and extra capacity selling, maximum or partial capacity expansion, and partial subcontracting regimes on the capacity control side. This is followed by an extension of these approaches to problems with multiple facilities and products characterized by very simple structures. The next part of the book deals with machine scheduling problems in flexible manufacturing systems (FMS) under the same assumptions. However, the setup process which together with the production process defines the dynamics of FMS makes these problems much …
Mathematics Subject Classification ID: 90B30
Mathematics Subject Classification ID: 90-02
zbMATH DE Number: 1349364
zbMATH Keywords: production planning
zbMATH Keywords: scheduling
zbMATH Keywords: control theoretic models
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1349364