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 or when the total updated files have exceeded a threshold level , and between them, cumulative backups as one of incremental backups are made at periodic times ). Using the theory of cumulative processes, the expected cost is obtained, and an optimal number of cumulative backup and an optimal level 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.
@article{RO_2002__36_3_227_0, author = {Qian, Cunhua and Pan, Yu and Nakagawa, Toshio}, title = {Optimal policies for a database system with two backup schemes}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {227--235}, publisher = {EDP-Sciences}, volume = {36}, number = {3}, year = {2002}, doi = {10.1051/ro:2003004}, mrnumber = {1988278}, zbl = {1062.90020}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro:2003004/} }
TY - JOUR AU - Qian, Cunhua AU - Pan, Yu AU - Nakagawa, Toshio TI - Optimal policies for a database system with two backup schemes JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2002 SP - 227 EP - 235 VL - 36 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro:2003004/ DO - 10.1051/ro:2003004 LA - en ID - RO_2002__36_3_227_0 ER -
%0 Journal Article %A Qian, Cunhua %A Pan, Yu %A Nakagawa, Toshio %T Optimal policies for a database system with two backup schemes %J RAIRO - Operations Research - Recherche Opérationnelle %D 2002 %P 227-235 %V 36 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro:2003004/ %R 10.1051/ro:2003004 %G en %F RO_2002__36_3_227_0
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://archive.numdam.org/articles/10.1051/ro:2003004/
[1] Mathematical Theory of Reliability. John Wiley & Sons, New York (1965). | MR | Zbl
and ,[2] Renewal Theory. Methuen, London (1962). | MR | Zbl
,[3] Shock models and wear processes. Ann. Probab. 1 (1973) 627-649. | MR | Zbl
, and ,[4] Optimal replacement with semi-Markov shock models. J. Appl. Probab. 13 (1976) 108-117. | MR | Zbl
,[5] A study of checkpoint generations for a database recovery mechanism. Comput. Math. Appl. 1/2 (1992) 63-68. | Zbl
, and ,[6] On a replacement problem of a cumulative damage model. Oper. Res. Quarterly 27 (1976) 895-900. | MR | Zbl
,[7] A summary of discrete replacement policies. Eur. J. Oper. Res. 17 (1984) 382-392. | MR | Zbl
,[8] Replacement policies for a cumulative damage model with minimal repair at failure. IEEE Trans. Reliability 13 (1989) 581-584. | Zbl
and ,[9] 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
, and ,[10] Optimal garbage collection policies for a database in a computer system. RAIRO: Oper. Res. 4 (1996) 359-372. | Numdam | Zbl
, and ,[11] Storage management software. Fujitsu 46 (1995) 389-397.
and ,[12] Optimal replacement under additive damage and other failure models. Naval Res. Logist. Quarterly 22 (1975) 1-18. | MR | Zbl
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