References

ANALYSIS OF RETRIAL FUZZY QUEUE WITH SINGLE SERVER SUBJECT TO BREAKDOWNS AND REPAIRS BY FLEXIBLE ALPHA-CUTS METHOD


[1] A. Aissani, On the M/G/1/1 queueing system with repeated orders and unreliable server, Journal of Technology 6 (1988), 88-123 (in French).

[2] B. Bede, Mathematics of Fuzzy Sets and Fuzzy Logic, Springer-Verlag, Berlin, 2013.
DOI: http://dx.doi.org/10.1007/978-3-642-35221-8

[3] J. J. Buckley and E. Eslami, An Introduction to Fuzzy Logic and Fuzzy Sets, Springer-Verlag, Berlin, Heidelberg, 2002.
DOI: http://dx.doi.org/10.1007/978-3-7908-1799-7

[4] J. J. Buckley, E. Eslami and T. Feuring, Fuzzy Mathematics in Economics and Engineering, Physica-Verlag, Heidelberg, 2010.

[5] D. Dubois and H. Prade, Operations on fuzzy numbers, International Journal of Systems Science 9(6) (1978), 613-626.
DOI: https://doi.org/10.1080/00207727808941724

[6] D. Dubois and H. Prade, Fuzzy real algebra: Some results, Fuzzy Sets and Systems 2(4) (1979), 327-348.
DOI: https://doi.org/10.1016/0165-0114(79)90005-8

[7] D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980.

[8] I. Florea and C.-S. Nanau, An algorithmic approach of retrial queuing system with one serving station, Part I: The description of the simulation algorithm, Bulletin of the Transilvania University of Brasov; Série III: Mathematics Informatics Physics 6(2) (2013), 95-106.

[9] M. Hanss, Applied Fuzzy Arithmetic: An Introduction with Engineering Applications, Springer-Verlag, Berlin, Heidelberg, 2005.
DOI: https://doi.org/10.1007/b138914

[10] R. Kalayanaraman, N. Thillaigovindan and G. Kannadasan, A single server fuzzy queue with unreliable server, International Journal of Computational Cognition 8(1) (2010), 1-4.

[11] V. G. Kulkarni and B. D. Choi, Retrial queues with server subject to breakdowns and repairs, Queueing System 7(2) (1990), 191-208.
DOI: https://doi.org/10.1007/BF01158474

[12] Z. Mueen, R. Ramli and N. Zura Zaibidi, Performance measurements of single server fuzzy queues with unreliable server using left and right method, AIP Conference Proceedings 1691(14) (2015); Article 030019.
DOI: https://doi.org/10.1063/1.4937038

[13] J. P. Mukeba Kanyinda, Analysis of fuzzy queue characteristics by flexible alpha-cuts method, Journal of Fuzzy Sets Valued Analysis 2017(1) (2017), 1-11.
DOI: http://dx.doi.org/10.5899/2017/jfsva-00344

[14] J. P. Mukeba Kanyinda, Application of L-R fuzzy arithmetic to real-word problems, Journal of Fuzzy Sets Valued Analysis 2019(1) (2019), 1-13.
DOI: http://dx.doi.org/10.5899/2019/jfsva-00463

[15] J. P. Mukeba Kanyinda, R. Mabela Makengo Matendo and B. Ulungu Ekunda Lukata, Computing fuzzy queueing performance measures by L-R method, Journal of Fuzzy Sets Valued Analysis 2015(1) (2015), 57-67.
DOI: http://dx.doi.org/10.5899/2015/jfsva-00226

[16] J. P. Mukeba Kanyinda, R. Mabela Makengo Matendo and B. Ulungu Ekunda Lukata, Performance measures of a fuzzy product form queueing network, Journal of Fuzzy Sets Valued Analysis 2015(1) (2015), 68-77.
DOI: http://dx.doi.org/10.5899/2015/jfsva-00228

[17] S. Shanmugasundaram and B. Venkatesh, An M/M/1 retrial queue with unreliable server under fuzzy environment, International Journal of Mathematical Sciences & Applications 6(1) (2016), 81-88.

[18] N. P. Sherman and J. P. Kharoufeh, An M/M/1 retrial queue with unreliable server, Operational Research Letters 34(6) (2006), 697-705.
DOI: https://doi.org/10.1016/j.orl.2005.11.003

[19] L. A. Zadeh, Fuzzy sets, Information and Control 8(3) (1965), 338-353.
DOI: http://dx.doi.org/10.1016/S0019-9958(65)90241-X

[20] L. A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1(1) (1978), 3-28.
DOI: https://doi.org/10.1016/0165-0114(78)90029-5

[21] H.-J. Zimmermann, Fuzzy Set Theory –and its Applications, Springer Science + Business Media, New-York, Fourth Edition, 2001.
DOI: http://dx.doi.org/10.1007/978-94-010-0646-0