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Original Articles

Contribution of maximum entropy principle in the field of queueing theory

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Pages 3464-3472 | Received 27 May 2013, Accepted 09 Dec 2013, Published online: 04 May 2016

References

  • Aczel, J., Daroczy, Z. (1975). On Measures of Information and their Characterizations. New York: Academic Press.
  • Brissaud, J.B. (2005). The meaning of entropy. Entropy 7:68–96.
  • Burg, J.P. (1972). The relationship between maximum entropy spectra and maximum likelihood spectra. In: Childrers, D.G., Ed., Modern Spectral Analysis pp. 130–131.
  • Chaudhry, M.L., Templeton, J.G.C. (1988). A First Course in Bulk Queues. New York: John Wiley and Sons.
  • Chen, X., Dai, W. (2011). Maximum entropy principle for uncertain variables. Int. J. Fuzzy Syst. 13:232–236.
  • Chen, Y. (2006). Properties of quasi-entropy and their applications. J. Southeast Univ. Nat. Sci. 36:222–225.
  • Garrido, A. (2011). Classifying entropy measures. Symmetry 3:487–502.
  • Guiasu, S. (1971). Weighted entropy. Rep. Mathemat. Phys. 2:165–171.
  • Havrada, J.H., Charvat, F. (1967). Quantification methods of classification process: Concept of structural α-entropy. Kybernetika 3:30–35.
  • Herniter, J.D. (1973). An entropy model of brand purchase behaviour. J. Marker Rev. 11:20–29.
  • Hillion, E. (2012). Concavity of entropy along binomial convolutions. Electron. Commun. in Probab. 17:1–9.
  • Honda, A., Okazaki, Y. (2007). Generalization of Shannon entropy of capacities on set systems. Appl. Funct. Anal.89–98.
  • Hu, H. (2007). Survival exponential entropies and their analytic properties. J. Huazhong Normal Univ. Nat. Sci. 41:493–496.
  • Jaynes, E.T. (1957). Information theory and statistical mechanics. Phys. Rev. 106:620–630.
  • Kapur, J.N. (1995). Measures of Information and Their Applications. New York: Wiley Eastern.
  • Kapur, J.N., Kesavan, H.K. (1987). The Generalized Maximum Entropy Principle. Canada: Standard Educational Press, Waterloo: University of Waterloo.
  • Lavenda, B.H. (2005). Mean Entropies. Open Syst. Inform. Dyn. 12:289–302.
  • Nanda, A.K., Paul, P. (2006). Some results on generalized residual entropy. Inform. Sci. 176:27–47.
  • Parkash, O., Mukesh (2012). New generalized parametric measure of entropy and cross-entropy. Amer. J. Math. Sci. 1:91–96.
  • Parkash, O., Mukesh (2013). Relation between information measures and chi-square distribution. Int. J. Pure Appl. Math. 84:517–524.
  • Renyi, A. (1961). On measures of entropy and information. Proc. 4th Berkeley Symp. Mathemat. Statist. Probab. 1:547–561.
  • Shannon, C.E. (1948). A mathematical theory of communication. Bell Syst. Techn. J. 27:379–423, 623–659.
  • Sharma, B.D., Taneja, I.J. (1975). Entropies of type (α, β) and other generalized measures of information theory. Metrica 22:202–215.
  • Topsoe, F. (2002). Maximum entropy versus risk and applications of some classical-discrete distributions. IEEE Trans. Inform. Theor. 48:2368–2376.
  • Trovato, M., Reggiani, L. (2012). A proper nonlocal formulation of quantum maximum entropy principle in statistical mechanics. Int. J. Modern Phy. B 26:1241007(1–17).
  • Wang, K.H., Chan, M.C., Ke, J.C. (2007). Maximum entropy analysis of the M[x]/M/1 queueing system with multiple vacations and server breakdowns. Comput. Indust. Eng. 52:192–202.
  • Zadeh, L.A. (2005). Towards a generalized theory of uncertainty (GTU)-an outline. Inform. Sci. 172:1–40.
  • Zyczkowski, K. (2003). Renyi extrapolation of Shannon entropy. Open Syst. Inform. Dyn. 10:297–310.

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