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

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.
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
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/30149
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