ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES

Volume: 4 Number: 2 December 1, 2014
  • Veena Goswami
EN

ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES

Abstract

This paper studies a discrete-time queueing system with two heterogeneous servers subject to catastrophes. We obtain explicit expressions for the steady-state probabilities at arbitrary epoch using displacement operator method. The waiting time distribution and outside observer’s observation epoch probabilities are deduced. Various performance measures and numerical results have been investigated

Keywords

References

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  3. Di Crescenzo, A. Giorno, V. Nobile A. G. and Ricciardi, L. M., (2003), On the M/M/1 queue with catastrophes and its continuous approximation, Queueing Syst., 43 (4), 329–347.
  4. Boudali, O. and Economou, A., (2012), Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes, Eur. J. Oper. Res., 218 (3), 708–715.
  5. Krishna Kumar, B. and Arivudainambi, D., (2000), Transient solution of an M/M/1 queue with catastrophes, Comput. Math. Appl., 40(10-11), pp.1233–1240.
  6. Krishna Kumar, B. and Pavai Madheswari, S., (2002), Transient behaviour of the M/M/2 queue with catastrophes, STATISTICA, 62 (1), 129–136.
  7. Krishna Kumar, B., Krishnamoorthy, A., Pavai Madheswari, S. and Sadiq Basha S., (2007a)
  8. Transient analysis of a single server queue with catastrophes, failures and repairs, Queueing Syst., (3-4), 133–141. Guo, P. and Hassin, R., (2012), Strategic behavior and social optimization in Markovian vacation queues: The case of heterogeneous customers, Eur. J. Oper. Res., 222 (2), 278–286.

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

Veena Goswami This is me

Publication Date

December 1, 2014

Submission Date

-

Acceptance Date

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Published in Issue

Year 2014 Volume: 4 Number: 2

APA
Goswami, V. (2014). ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES. TWMS Journal of Applied and Engineering Mathematics, 4(2), 234-251. https://izlik.org/JA99RX96TY
AMA
1.Goswami V. ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES. JAEM. 2014;4(2):234-251. https://izlik.org/JA99RX96TY
Chicago
Goswami, Veena. 2014. “ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES”. TWMS Journal of Applied and Engineering Mathematics 4 (2): 234-51. https://izlik.org/JA99RX96TY.
EndNote
Goswami V (December 1, 2014) ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES. TWMS Journal of Applied and Engineering Mathematics 4 2 234–251.
IEEE
[1]V. Goswami, “ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES”, JAEM, vol. 4, no. 2, pp. 234–251, Dec. 2014, [Online]. Available: https://izlik.org/JA99RX96TY
ISNAD
Goswami, Veena. “ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES”. TWMS Journal of Applied and Engineering Mathematics 4/2 (December 1, 2014): 234-251. https://izlik.org/JA99RX96TY.
JAMA
1.Goswami V. ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES. JAEM. 2014;4:234–251.
MLA
Goswami, Veena. “ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES”. TWMS Journal of Applied and Engineering Mathematics, vol. 4, no. 2, Dec. 2014, pp. 234-51, https://izlik.org/JA99RX96TY.
Vancouver
1.Veena Goswami. ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES. JAEM [Internet]. 2014 Dec. 1;4(2):234-51. Available from: https://izlik.org/JA99RX96TY