We consider a Markovian, failure prone, single machine, single part-type, fluid flow, manufacturing system. The failure rate depends on the production rate through a non decreasing, piecewise constant function which may assume two values. The problem is to minimize a long term average expected cost which penalizes both the presence of waiting customers and the inventory surplus. We derive and prove the optimality of a policy which depends on two thresholds. The expression of these thresholds and of the optimal cost is also included in this note together with some numerical examples.

Martinelli, F. (2007). Optimality of a two-threshold feedback control for a manufacturing system with a production dependent failure rate. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 52(10), 1937-1942 [10.1109/TAC.2007.906229].

Optimality of a two-threshold feedback control for a manufacturing system with a production dependent failure rate

MARTINELLI, FRANCESCO
2007-01-01

Abstract

We consider a Markovian, failure prone, single machine, single part-type, fluid flow, manufacturing system. The failure rate depends on the production rate through a non decreasing, piecewise constant function which may assume two values. The problem is to minimize a long term average expected cost which penalizes both the presence of waiting customers and the inventory surplus. We derive and prove the optimality of a policy which depends on two thresholds. The expression of these thresholds and of the optimal cost is also included in this note together with some numerical examples.
2007
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore ING-INF/04 - AUTOMATICA
English
Con Impact Factor ISI
Markov processes; Production dependent failures; Threshold policies; Unreliable systems
Martinelli, F. (2007). Optimality of a two-threshold feedback control for a manufacturing system with a production dependent failure rate. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 52(10), 1937-1942 [10.1109/TAC.2007.906229].
Martinelli, F
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/30149
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 54
social impact