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Titolo:
Markovian approximation for manufacturing systems of unreliable machines in tandem
Autore:
Chin, WK;
Indirizzi:
Univ Southampton, Fac Math Studies, Southampton SO17 1BJ, Hants, England Univ Southampton Southampton Hants England SO17 1BJ 7 1BJ, Hants, England
Titolo Testata:
NAVAL RESEARCH LOGISTICS
fascicolo: 1, volume: 48, anno: 2001,
pagine: 65 - 78
SICI:
0894-069X(200102)48:1<65:MAFMSO>2.0.ZU;2-9
Fonte:
ISI
Lingua:
ENG
Soggetto:
MODULATED POISSON PROCESSES; CIRCULANT PRECONDITIONERS; OPTIMALITY; POLICIES; MODELS;
Keywords:
manufacturing systems; Hedging Point Production (HPP) policies; (s, S) policies; Markov Modulated Poisson Process (MMPP); Steady State Probability Distribution;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
29
Recensione:
Indirizzi per estratti:
Indirizzo: Chin, WK Univ Southampton, Fac Math Studies, Southampton SO17 1BJ, Hants, England Univ Southampton Southampton Hants England SO17 1BJ nts, England
Citazione:
W.K. Chin, "Markovian approximation for manufacturing systems of unreliable machines in tandem", NAV RES LOG, 48(1), 2001, pp. 65-78

Abstract

This paper studies production planning of manufacturing systems of unreliable machines in tandem. The manufacturing system considered here produces one type of product. The demand is assumed to be a Poisson process and the processing time for one unit of product in each machine is exponentially distributed. A broken machine is subject to a sequence of repairing processes. The up time and the repairing time in each phase are assumed to be exponentially distributed. We study the manufacturing system by considering each machine as an individual system with stochastic supply and demand. The Markov Modulated Poisson Process (MMPP) is applied to model the process of supply. Numerical examples are given to demonstrate the accuracy of the proposedmethod. We employ (s, S) policy as production control. Fast algorithms arepresented to solve the average running costs of the machine system fur a given (s, S) policy and hence the approximated optimal (s, S) policy. (C) 2001 John Wiley & Sons, Inc.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 10/07/20 alle ore 09:32:51