Performance analysis of flow lines with non-linear flow of material
type: Item
instance of: scholarly article
title: Performance analysis of flow lines with non-linear flow of material
zbMATH Open document ID: 0966.90001
author: Stefan Helber
published in: Lecture Notes in Economics and Mathematical Systems
publication date: 1999-09-27T00:00:00Z
review text: The book under review deals with some of the problems of manufacturing systems with special reference to random disruptions in the flow of material from one work station to another. The material is divided into six chapters and two appendices: Introduction. Issue. Goals and Methods of Flow Line Analysis. Assembly/Disassembly of Systems with random processing times. Flow Lines with Rework Loops and Machine-specific processing times. Conclusions and suggestions for further research: Appendices: A: Derivation for the discrete material flow line. B: Derivation for the continuous material flow line. Bibliography. The author, perhaps rightly, places emphasis on the development of analytical tools in preference to simulation methods. Each of the chapters is supported by numerical illustrations with appropriate inference of algorithms. Since the two machine line is an appropriate unit of the larger assembly and exhibits most of the salient features of the assembly of which it is a part, the author has, rightly dwelt at great length the problem of two machine subsystem. To facilitate the analysis the author has imposed suitable constraints on the processing time, time to failure and time to repair resulting in the Markov behaviour of the system. The very complexity is due to the interaction of the two machines; however the very exponential/geometric nature of the distributions of the various time spans makes the analysis elegant and leads to the determination of the expected value of the cost. Using these results the author is able to present the realistic picture of the assembly as a whole. The bibliography is extensive and the author has taken pains to make the literature survey complete in all respect. The reviewer is of the opinion that the assumption of exponential character for the distribution of various time spans is too much of a simplification and may not be appropriate for real life problems. It could have been nice if the author has avoided the path of least resi…
Mathematics Subject Classification ID: 90-02
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 90B35
zbMATH DE Number: 1344815
zbMATH Keywords: manufacturing systems
zbMATH Keywords: random disruptions
zbMATH Keywords: assembly
zbMATH Keywords: disassembly
zbMATH Keywords: rework loops
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1344815