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Titolo:
An entropic measurement of queueing behaviour in a class of manufacturing operations
Autore:
Frizelle, G; Suhov, YM;
Indirizzi:
Univ Cambridge, Dept Engn, Inst Mfg, Cambridge CB2 1RX, England Univ Cambridge Cambridge England CB2 1RX Mfg, Cambridge CB2 1RX, England Univ Cambridge, Dept Pure Math & Math Stat, Ctr Math Sci, Stat Lab, Cambridge CB3 0WB, England Univ Cambridge Cambridge England CB3 0WB Lab, Cambridge CB3 0WB, England
Titolo Testata:
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
fascicolo: 2011, volume: 457, anno: 2001,
pagine: 1579 - 1601
SICI:
1364-5021(20010708)457:2011<1579:AEMOQB>2.0.ZU;2-Q
Fonte:
ISI
Lingua:
ENG
Soggetto:
MEASURING COMPLEXITY;
Keywords:
manufacturing processes; Kolmogorov-Sinai entropy; queueing systems and networks; operational entropy; structural entropy;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
36
Recensione:
Indirizzi per estratti:
Indirizzo: Frizelle, G Univ Cambridge, Dept Engn, Inst Mfg, Mill Lane, Cambridge CB2 1RX, England Univ Cambridge Mill Lane Cambridge England CB2 1RX X, England
Citazione:
G. Frizelle e Y.M. Suhov, "An entropic measurement of queueing behaviour in a class of manufacturing operations", P ROY SOC A, 457(2011), 2001, pp. 1579-1601

Abstract

This paper is motivated by a view that there is practical value in being able to measure aspects of complexity in industrial, particularly manufacturing, systems. We address, at a decreasing level of generality, the following questions. (i) What is required from a measure that might reflect some aspects of complexity in a large dynamical system? (ii) What is the appropriate measure? (iii) How do the main characteristics of this measure show themselves in the systems of interest? (iv) Does the proposed measurement process lead to useful theoretical and practical insights? In answer to questions (i) and (ii), we suggest that in general one measures the rate of variety of behaviour the system can exhibit, and propose theKolmogorov-Sinai (KS) entropy of the corresponding random process as a convenient measure. We then consider input-output processes as models for manufacturing systems and discuss some simple mathematical observations on how the KS entropy can be assessed in terms of random queues and a state of theserver. Next, we take into account some basic features of a manufacturing process and propose formulae for its operational and structural complexity,thus answering (iii). Finally, to answer (iv), a case study is given demonstrating how the proposed measure can be used in a manufacturing plant, andwe discuss practical insights for the company involved.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 22/01/20 alle ore 09:35:18