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On optimal replacement policy

Raimi Ajibola Kasumu, Antonín Lešanovský (1983)

Aplikace matematiky

A system with a single activated unit which can be in k + 1 states is considered. Inspections of the system are carried out at discrete time instants. The process of deterioration of the unit is supposed to be Markovian. The unit by its operation brings an income which is monotonically dependent on its state. A replacement of the unit is associated with certain costs. The paper gives an effective algorithm for finding the replacement strategy maximizing the average income of the system per unit time....

Optimal policies for a database system with two backup schemes

Cunhua Qian, Yu Pan, Toshio Nakagawa (2002)

RAIRO - Operations Research - Recherche Opérationnelle

This paper considers two backup schemes for a database system: a database is updated at a nonhomogeneous Poisson process and an amount of updated files accumulates additively. To ensure the safety of data, full backups are performed at time N T or when the total updated files have exceeded a threshold level K , and between them, cumulative backups as one of incremental backups are made at periodic times i T ...

Optimal Policies for a Database System with Two Backup Schemes

Cunhua Qian, Yu Pan, Toshio Nakagawa (2010)

RAIRO - Operations Research

This paper considers two backup schemes for a database system: a database is updated at a nonhomogeneous Poisson process and an amount of updated files accumulates additively. To ensure the safety of data, full backups are performed at time NT or when the total updated files have exceeded a threshold level K, and between them, cumulative backups as one of incremental backups are made at periodic times iT(i = 1,2,...,N - 1). Using the theory of cumulative processes, the expected cost is obtained,...

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