An unreliable production system with fluctuating production and demand rates. (3rd December 2009)

• Record Type: Journal Article
• Authors: Mohebbi, Esmail
• Is Part Of: International journal of applied management science. Volume 2:Number 1(2010)
• Page Start: 20
• Page End: 35
• Publication Date: 2009-12-03
• Subjects: inventories -- production systems -- limited capacity -- random environments -- Markov modulated processes -- level crossings -- fluctuating rates -- production rates -- demand rates -- management science -- random fluctuations -- operating environments -- continuous-time Markov chains -- compound Poisson processes -- storage space -- stockouts; Management science -- Periodicals; 658
• Languages: English
• ISSNs: 1755-8913

Abstract

This paper contains an analytical formulation for performance measurement of an unreliable production-storage operation where production and demand rates for a single item are subject to random fluctuations in the operating environment. These fluctuations are represented as transitions among the states of a continuous-time Markov chain and the demand process is characterised as a compound Poisson process. Assuming that the storage space is limited and the stockouts are lost, the proposed model yields exact expressions for a number of popular performance measures. The model is accompanied by some numerical results.