This paper studies the machine repair problem consisting of
Mots-clés : hybrid multiple/single vacation, machine repair problem, matrix-geometric approach, multiple vacations, single vacation
@article{RO_2009__43_1_35_0, author = {Ke, Jau-Chuan and Lee, Ssu-Lang and Liou, Cheng-Hwai}, title = {Machine repair problem in production systems with spares and server vacations}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {35--54}, publisher = {EDP-Sciences}, volume = {43}, number = {1}, year = {2009}, doi = {10.1051/ro/2009004}, mrnumber = {2502324}, zbl = {1158.60378}, language = {en}, url = {https://www.numdam.org/articles/10.1051/ro/2009004/} }
TY - JOUR AU - Ke, Jau-Chuan AU - Lee, Ssu-Lang AU - Liou, Cheng-Hwai TI - Machine repair problem in production systems with spares and server vacations JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2009 SP - 35 EP - 54 VL - 43 IS - 1 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2009004/ DO - 10.1051/ro/2009004 LA - en ID - RO_2009__43_1_35_0 ER -
%0 Journal Article %A Ke, Jau-Chuan %A Lee, Ssu-Lang %A Liou, Cheng-Hwai %T Machine repair problem in production systems with spares and server vacations %J RAIRO - Operations Research - Recherche Opérationnelle %D 2009 %P 35-54 %V 43 %N 1 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2009004/ %R 10.1051/ro/2009004 %G en %F RO_2009__43_1_35_0
Ke, Jau-Chuan; Lee, Ssu-Lang; Liou, Cheng-Hwai. Machine repair problem in production systems with spares and server vacations. RAIRO - Operations Research - Recherche Opérationnelle, Tome 43 (2009) no. 1, pp. 35-54. doi : 10.1051/ro/2009004. https://www.numdam.org/articles/10.1051/ro/2009004/
[1] An introduction to probability theory and its applications, Vol. I. John Wiley and Sons, New York (1967). | Zbl
,[2] A queueing model for spare coal faces. Oper. Res. Quart. 10 (1959) 245-251.
and ,[3] Economic analysis of the M/M/R machine repair problem with warm standbys. Microelectron. Reliab. 29 (1989) 25-35.
and ,[4] Cost analysis of the M/M/R machine repair problem with mixed standby spares. Microelectron. Reliab. 33 (1993) 1293-1301.
,[5] Cost analysis of the cold-standby M/M/R machine repair problem with multiple modes of failure. Microelectron. Reliab. 38. (1998) 435-441.
and ,[6] Rakhee and S. Maheshwari, N-policy for a machine repair system with spares and reneging. Appl. Math. Model. 28 (2004) 513-531.
,[7] The productivity of several machines under the care of one operator. J. R. Stat. Soc. B 12 (1950) 145-151. | Zbl
,[8] An optimum repair policy for the machine interference problem. J. Oper. Res. Soc. 32 (1981) 793-801. | MR | Zbl
,[9] An approach to cost analysis of maintenance float systems. IIE Trans. 8 (1976) 128-133. | MR
,[10] Queueing models for spares provisioning. Nav. Res. Logist. Quart. 24 (1977) 521-536. | Zbl
, and ,[11] A closed queueing network model for multi-echelon repairable item provisioning. IIE Trans. 15 (1983) 344-352.
, and ,[12] Profit analysis of the M/M/R machine repair problem with balking, reneging, and standby switching failures. Comput. Oper. Res. 34 (2007) 835-847. | Zbl
, and ,[13] Queueing system with vacations-a survey. Queueing Syst. 1 (1986) 29-66. | MR | Zbl
,[14] Queueing analysis: A foundation of performance evaluation, Vol. I. Vacation and priority systems, Part I. North-Holland, Amsterdam (1991). | MR | Zbl
,[15] Machine interference problem with warm spares, server vacations and exhaustive service. Perform. Eval. 29 (1997) 195-211.
,[16] Rakhee and M. Singh, Bilevel control of degraded machining system with warm standbys, setup and vacation. Appl. Math. Model 28 (2004) 1015-1026. | Zbl
,[17] Vacation policies for machine interference problem with an un-reliable server and state-dependent service rate. J. Chinese Institute Industrial Engineers 23 (2006) 100-114.
,[18] Stochastic Petri net analysis of finite population vacation queueing systems. Queueing Syst. 8 (1991) 111-128. | MR | Zbl
and ,[19] A coal unloader: a finite queueing system with breakdowns. Interfaces 11 (1981) 12-24.
, and ,[20] Fundamentals of queueing theory. 3rd ed., John Wiley and Sons, New York (1998). | MR | Zbl
and ,[21] Matrix geometric solutions in stochastic models: an algorithmic approach. The Johns Hopkins University Press, Baltimore (1981). | MR | Zbl
,[22] The productivity of machines requiring attention at random interval. J. R. Stat. Soc. B 13 (1951) 65-82. | Zbl
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