Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30054
Variation of Uncertainty in Steady And Non-Steady Processes Of Queuing Theory

Authors: Om Parkash, C.P.Gandhi

Abstract:

Probabilistic measures of uncertainty have been obtained as functions of time and birth and death rates in a queuing process. The variation of different entropy measures has been studied in steady and non-steady processes of queuing theory.

Keywords: Uncertainty, steady state, non-steady state, trafficintensity, monotonocity

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062838

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References:


[1] Asadi, M., Ebrahimi, N., Hamedani, G.G. and Soofi, S. (2004): "Maximum dynamic entropy models", Applied Probability 4,1 379- 390.
[2] Cai, H., Kulkarni, S. and Verdu, S. (2006): "Universal divergence estimation for finite-alphabet sources", IEEE Transactions on Information Theory, 52, 3456-3475.
[3] Chakrabarti, C.G. (2005): "Shannon entropy: axiomatic characterization and application", International Journal of Mathematics and Mathematical Sciences, 17, 2847-2854.
[4] Chen, Y. (2006): "Properties of quasi-entropy and their applications", Journal of Southeast University Natural Sciences, 36, 222-225.
[5] Garbaczewski, P. (2006): "Differential entropy and dynamics of uncertainty", Journal of Statistical Physics, 123, 315-355.
[6] Kapur, J.N. (1967): "Generalized entropy of order ╬▒ and type β", Mathematics Seminar, 4, 79-84.
[7] Kapur, J.N. (1995): "Measures of Information and Their Applications", Wiley Eastern, New York.
[8] Medhi, J.M. (1982): "Stochastic Processes", Wiley Eastern, New Delhi.
[9] Nanda, A. K.and Paul, P. (2006): "Some results on generalized residual entropy", Information Sciences, 176, 27-47.
[10] Paninski, L. and Yajima, M. (2008): "Undersmoothed kernel entropy estimators", IEEE Trans. Inform.Theory, 54(9), 4384-4388.
[11] Piera, F.J. and Parade, P. (2009): "On the convergence properties of Shannon entropy", Problemy Peredacht Informatsii, 45(2), 75-94.
[12] Shannon, C. E. (1948): "A mathematical theory of communication", Bell System Technical Journal, 27, 379-423, 623-659.
[13] Sharma, B.D. and Taneja, I.J. (1975): "Entropies of type (╬▒,β) and other generalized measures of information theory", Metrica, 22, 202- 215.
[14] Zyczkowski, K. (2003): "Renyi extrapolation of Shannon entropy", Open Systems and Information Dynamics, 10, 297-310.