Optimal policies for a database system with two backup schemes
RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 3, pp. 227-235.

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, and an optimal number N * of cumulative backup and an optimal level K * of updated files which minimize it are analytically discussed. It is shown as examples that optimal number and level are numerically computed when two costs of backup schemes are given.

DOI : 10.1051/ro:2003004
Mots-clés : database, full backup, cumulative backup, cumulative process, expected cost
Qian, Cunhua  ; Pan, Yu  ; Nakagawa, Toshio 1

1 Department of Marketing and Information System, Aichi Institute of Technology, 1247 Yachigusa, Yakusa-cho, Toyota 470-0392, Japan
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Qian, Cunhua; Pan, Yu; Nakagawa, Toshio. Optimal policies for a database system with two backup schemes. RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 3, pp. 227-235. doi : 10.1051/ro:2003004. http://www.numdam.org/articles/10.1051/ro:2003004/

[1] R.E. Barlow and F. Proschan, Mathematical Theory of Reliability. John Wiley & Sons, New York (1965). | MR | Zbl

[2] D.R. Cox, Renewal Theory. Methuen, London (1962). | MR | Zbl

[3] J.D. Esary, A.W. Marshall and F. Proschan, Shock models and wear processes. Ann. Probab. 1 (1973) 627-649. | MR | Zbl

[4] R.M. Feldman, Optimal replacement with semi-Markov shock models. J. Appl. Probab. 13 (1976) 108-117. | MR | Zbl

[5] S. Fukumoto, N. Kaio and S. Osaki, A study of checkpoint generations for a database recovery mechanism. Comput. Math. Appl. 1/2 (1992) 63-68. | Zbl

[6] T. Nakagawa, On a replacement problem of a cumulative damage model. Oper. Res. Quarterly 27 (1976) 895-900. | MR | Zbl

[7] T. Nakagawa, A summary of discrete replacement policies. Eur. J. Oper. Res. 17 (1984) 382-392. | MR | Zbl

[8] T. Nakagawa and M. Kijima, Replacement policies for a cumulative damage model with minimal repair at failure. IEEE Trans. Reliability 13 (1989) 581-584. | Zbl

[9] C.H. Qian, S. Nakamura and T. Nakagawa, Cumulative damage model with two kinds of shocks and its application to the backup policy. J. Oper. Res. Soc. Japan 42 (1999) 501-511. | MR | Zbl

[10] T. Satow, K. Yasui and T. Nakagawa, Optimal garbage collection policies for a database in a computer system. RAIRO: Oper. Res. 4 (1996) 359-372. | Numdam | Zbl

[11] K. Suzuki and K. Nakajima, Storage management software. Fujitsu 46 (1995) 389-397.

[12] H.M. Taylor, Optimal replacement under additive damage and other failure models. Naval Res. Logist. Quarterly 22 (1975) 1-18. | MR | Zbl

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