M. E. Ali and M. F. Neuts, A service system with two stages of waiting and feedback of customers, J. Appl. Prob, issue.21, pp.404-413, 1984.

S. Alouf, E. Altman, and A. P. Azad, Analysis of an M/G/1 Queue with Repeated Inhomogeneous Vacations with Application to IEEE 802.16e Power Saving Mechanism, 2008 Fifth International Conference on Quantitative Evaluation of Systems, pp.27-36, 2008.
DOI : 10.1109/QEST.2008.37

URL : https://hal.archives-ouvertes.fr/inria-00266552

J. C. Chen, K. M. Sivalingam, and P. Agrawal, Performance comparison of battery power consumption in wireless multiple access protocols, ACM Wireless Networks, pp.445-460, 1999.

R. B. Cooper, Queues Served in Cyclic Order: Waiting Times, Bell System Technical Journal, vol.49, issue.3, pp.399-413, 1970.
DOI : 10.1002/j.1538-7305.1970.tb01778.x

R. B. Cooper, Introduction to Queueing theory, 1981.

B. T. Doshi, Queueing systems with vacations ? A survey, Queueing Systems, vol.21, issue.1, pp.29-66, 1986.
DOI : 10.1007/BF01149327

S. W. Fuhrmann and R. B. Cooper, /1 Queue with Generalized Vacations, Operations Research, vol.33, issue.5, pp.1117-1129, 1985.
DOI : 10.1287/opre.33.5.1117

J. Gaver and D. P. , A waiting line with interrupted service, including priorities, Journal of the Royal Statistical Society. Series B (Methodological ), vol.24, issue.1, pp.73-90, 1962.

K. Han and S. Choi, Performance analysis of sleep mode operation in IEEE 802.16e mobile broadband wireless access systems, Proc. of IEEE VTC 2006-Spring, pp.1141-1145, 2006.

J. Teghem and . Jr, Control of the service process in a queueing system, European Journal of Operational Research, vol.23, issue.2, pp.141-158, 1986.
DOI : 10.1016/0377-2217(86)90234-1

J. Keilson and L. D. Servi, A distributional form of Little's Law, Operations Research Letters, vol.7, issue.5, pp.223-227, 1983.
DOI : 10.1016/0167-6377(88)90035-1

L. Kleinrock, Queueing Systems: Theory, volume 1, 1975.

R. Krashinsky and H. Balakrishnan, Minimizing energy for wireless web access with bounded slowdown, Proc. of ACM MobiCom '02, pp.119-130, 2002.

S. J. Kwon, Y. W. Chung, and D. K. Sung, Queueing model of sleep-mode operation in cellular digital packet data, IEEE Transactions on Vehicular Technology, vol.52, issue.4, pp.1158-1162, 2003.
DOI : 10.1109/TVT.2003.814218

Y. Lévy and U. , /1 Queueing System, Management Science, vol.22, issue.2, pp.202-211, 1975.
DOI : 10.1287/mnsc.22.2.202

Y. B. Lin and Y. M. Chuang, Modeling the sleep mode for cellular digital packet data, IEEE Communication letters, vol.3, issue.3, pp.63-65, 1999.

L. W. Miller, Altenating Priorities in Multi-Class Queues, 1964.

E. Altman, S. Alouf, and A. P. Azad, Analysis of an m/g/1 queue with repeated inhomogeneous vacations with application to ieee 802.16e power saving mechanism, Proceedings of QEST, pp.27-36, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00266552

M. Scholl and L. Kleinrock, /1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines, Operations Research, vol.31, issue.4, pp.705-719, 1983.
DOI : 10.1287/opre.31.4.705

J. B. Seo, S. Q. Lee, N. H. Park, H. W. Lee, and C. H. Cho, Performance analysis of sleep mode operation in IEEE 802, Proc. of IEEE, pp.1169-1173, 2004.

J. G. Shanthikumar, Some analyses of the control of queues using level crossing of regenerative processes, J. Appl. Prob, issue.17, pp.814-821, 1980.

J. and G. Shanthikumar, /1 Type Queues with Generalized Server Vacations, Operations Research, vol.36, issue.4, pp.566-569, 1988.
DOI : 10.1287/opre.36.4.566

H. Takagi, Queueing Analysis: Vacation and Priority Systems, 1991.

Y. Xiao, Energy saving mechanism in the IEEE 802.16e wireless MAN, IEEE Communications Letters, vol.9, issue.7, pp.595-597, 2005.
DOI : 10.1109/LCOMM.2005.1461675

Y. Xiao, Performance analysis of an energy saving mechanism in the IEEE 802.16e wireless MAN, Proc. of IEEE CCNC 2006, pp.406-410, 2006.

S. R. Yang and Y. B. Lin, Modeling UMTS discontinuous reception mechanism, IEEE Transactions on Wireless Communications, vol.4, issue.1, pp.312-319, 2005.
DOI : 10.1109/TWC.2004.840259