Displaying similar documents to “Refined non-homogeneous markovian models for a single-server type of software system with rejuvenation”

Mathematical analysis of the optimizing acquisition and retention over time problem

Adi Ditkowski (2009)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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While making informed decisions regarding investments in customer retention and acquisition becomes a pressing managerial issue, formal models and analysis, which may provide insight into this topic, are still scarce. In this study we examine two dynamic models for optimal acquisition and retention models of a monopoly, the total cost and the cost per customer models. These models are analytically analyzed using classical, direct, methods and asymptotic expansions (for the total cost...

Machine Repair Problem in Production Systems with Spares and Server Vacations

Jau-Chuan Ke, Ssu-Lang Lee, Cheng-Hwai Liou (2009)

RAIRO - Operations Research

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This paper studies the machine repair problem consisting of operating machines with spare machines, and servers (repairmen) who leave for a vacation of random length when there are no failed machines queuing up for repair in the repair facility. At the end of the vacation the servers return to the repair facility and operate one of three vacation policies: single vacation, multiple vacation, and hybrid single/multiple vacation. The Markov process and the matrix-geometric approach...