Analysis for the M/M/1 queue with multiple working vacations and N-policy

International Journal of Information and Management Sciences

Volumn 19, Issue 3, 2008, Pages 495-506

  Zhang, Zhong Jun ^a   Xu, Xiu Li ^a  

^a YANSHAN UNIVERSITY   (China)

Author keywords

Matrix geometric solution; Multiple working vacation; N policy; Quasi birth and death process; Stochastic decomposition

Indexed keywords

IMAGE SEGMENTATION; QUEUEING NETWORKS; STOCHASTIC MODELS;

MATRIX-GEOMETRIC SOLUTION; MULTIPLE WORKING VACATION; N-POLICY; NUMERICAL EXAMPLES; PERFORMANCE INDEXES; QUASI BIRTH AND DEATH PROCESS; QUEUE LENGTHS; SOLUTION METHODS; STOCHASTIC DECOMPOSITION; SYSTEM PARAMETERS;

QUEUEING THEORY;

EID: 52649138492     PISSN: 10171819     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Baba, Y. Analysis of a GI/M/1 queue with multiple working vacations, Oper. Res. Letters, Vol. 33, pp.201-209, 2005.
2. Banik, A., Gupta, U. and Pathak, S. On the GI/M/1/N queue with multiple working vacations-analytic analysis and computation, Applied Mathematical Modelling, Vol. 31, pp.1701-1710, 2007.
3. Doshi, B. Queueing systems with vacations-a survey, Queueing Syst., Vol. 1, No. 1, pp.29-66, 1986.
4. Kim, J., Choi, D. and Chae, K. Analysis of queue-length distribution of the M/G/1 queue with working vacations, International Conference on Statistics and Related Fields, Hawaii, 2003.
5. Latouche, G. and Ramaswami, V., Introduction to Matrix Analysis Methods in Statistics Modeling. ASA-SIAM Series on Applied Probability, 1999.
6. Li, J. and Tian, N. The discrete time GI/Geom/1 queue with working vacation and service interruption, Applied Mathematic and Computer, Vol. 185, No. 1, pp.1-10, 2007.
7. Liu, W., Xu, X. and Tian, N. Some results on the M/M/1 queue with working vacations, Oper. Res. Letters, Vol. 35, No. 5, pp.595-600, 2007.
8. Neuts, M. Matrix-Geometric Solutions in Stochastic models, Johns Hopkins University Press, Baltimore, 1981.
9. Servi, L. and Finn, S. M/M/1 queue with working vacations(M/M/1/WV), Performance Evaluation, Vol. 50, pp.41-52, 2003.
10. Takagi, H. Queueing Analysis, Elsevier Science Publishers, Amsterdam, Vol. 1, 1991.
11. Teghem, J. Control of the service process in a queueing system, Eur. J. Oper. Res., Vol.23, pp.141-168, 1986.
12. Tian, N. and Zhang, G. Vacation Queueing Models-Theory and Applications, Springer-Verlag, New York, 2006
13. Wu, D. and Takagi, H. M/G/1 queue with multiple working vacations, Performance Evaluation, Vol. 63, No.7, pp.654-681, 2006.