On the multi-server retrial queue with geometric loss and feedback: computational algorithm and parameter optimization

References

• Amador , J. and Artalejo , J. R. 2007 . On the distribution of the successful and blocked events in the M/M/c retrial queue: A computational approach . Appl. Math. Comput. , 190 : 1612 – 1626 .
   Web of Science ®Google Scholar
• Artalejo , J. R. 1999 . A classified bibliography of research on retrial queues: Progress in 1990–1999 . : 187 – 211 . Top 7
   Google Scholar
• Artalejo , J. R. 1999 . Accessible bibliography on retrial queues . Math. Comput. Model. , 30 : 1 – 6 .
   Web of Science ®Google Scholar
• Artalejo , J. R. and Lopez-Herrero , M. J. 2000 . On the busy period of the M/G/1 retrial queue . Naval Res. Logist. , 47 : 115 – 127 .
   Web of Science ®Google Scholar
• Artalejo , J. R. and Pozo , M. 2002 . Numerical calculation of the stationary distribution of the main multiserver retrial queue . Ann. Oper. Res. , 116 : 41 – 56 .
   Web of Science ®Google Scholar
• Artalejo , J. R. , Chakravarthy , S. R. and Lopez-Herrero , M. J. 2007 . The busy period and the waiting time analysis of a MAP/M/c queue with finite retrial group . Stoch. Anal. Appl. , 25 : 445 – 469 .
   Web of Science ®Google Scholar
• Artalejo , J. R. , Economou , A. and Lopez-Herrero , M. J. 2007 . Algorithmic analysis of the maximum queue length in a busy period for the M/M/c retrial queue . INFORMS J. Comput. , 19 : 121 – 126 .
   Web of Science ®Google Scholar
• Artalejo , J. R. , Economou , A. and Lopez-Herrero , M. J. 2007 . Algorithmic approximations for the busy period distribution of the M/M/c retrial queue . Eur. J. Oper. Res. , 176 : 1687 – 1702 .
   Web of Science ®Google Scholar
• Breuer , L. , Dudin , A. N. and Klimenok , V. I. 2002 . A retrial BMAP/PH/N system . Queueing Syst. Theory Appl. , 40 : 433 – 457 .
   Web of Science ®Google Scholar
• Bright , L. and Taylor , P. G. 1995 . Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes . Stoch. Models , 11 : 497 – 525 .
   Google Scholar
• Chakravarthy , S. R. and Dudin , A. N. 2002 . Multiserver retrial queue with BMAP arriving and group services . Queueing Syst. Theory Appl. , 42 : 5 – 31 .
   Web of Science ®Google Scholar
• Choi , B. D. and Chang , Y. 1999 . MAP1, MAP2/M/c retrial queue with the retrial group of finite capacity and geometric loss . Math. Comput. Model. , 30 : 99 – 113 .
   Google Scholar
• Choi , B. D. and Kulkarni , V. G. 1992 . Feedback retrial queueing systems, in Queueing and Related Models , Edited by: Bhat , U. N. and Basawa , I. V. 93 – 105 . New York : Oxford University Press .
   Google Scholar
• Choi , B. D. , Kim , Y. G. and Lee , Y. W. 1998 . The M/M/c retrial queue with geometric loss and feedback . Comput. Math. Appl. , 36 : 41 – 52 .
   Google Scholar
• Chong , E. K.P. and Zak , S. H. 2001 . “ An Introduction to Optimization ” . In , 2 , New York : John Wiley and Sons, Inc .
   Google Scholar
• Falin , G. I. 1983 . Calculations of probability characteristics of a multiline system with repeated calls . Moscow Univ. Comput. Math. Cybernet. , 1 : 43 – 49 .
   Google Scholar
• Falin , G. I. and Templeton , J. G.C. 1997 . “ Retrial Queues ” . London : Chapman and Hall .
   Google Scholar
• Gomez-Corral , A. 2006 . A bibliographical guide to the analysis of retrial queues through matrix analytic techniques . Ann. Oper. Res. , 141 : 177 – 207 .
   Web of Science ®Google Scholar
• Ke , J.-C. and Chang , F.-M. 2009 . Modified vacation policy for M/G/1 retrial queue with balking and feedback . Comput. Ind. Eng. , 57 : 433 – 443 .
   Web of Science ®Google Scholar
• Krishna Kumar , B. and Raja , J. 2006 . On multiserver feedback retrial queues with balking and control retrial rate . Ann Oper. Res. , 141 : 211 – 232 .
   Google Scholar
• Krishna Kumar , B. , Pavai Madheswari , S. and Vijayakumar , A. 2002 . The M/G/1 retrial queue with feedback and starting failures . Appl. Math. Model. , 26 : 1057 – 1075 .
   Google Scholar
• Kulkarni , V. G. and Liang , H. M. 1997 . Retrial queues revisited, in Frontiers in Queueing: Models and Applications in Science and Engineering , Edited by: Dshalalow , J. H. 19 – 34 . Boca Raton, , FL, USA : CRC Press, Inc .
   Google Scholar
• Latouche , G. and Ramaswami , V. 1999 . Introduction to Matrix Analytic Methods in Stochastic Modeling Philadelphia, PA American Statistical Association and the Society for Industrial and Applied Mathematics, Series on Statistics and Applied Probability
   Google Scholar
• Neuts , M. F. 1981 . Matrix Geometric Solutions in Stochastic Models: An Algorithmic Approach , Baltimore : The John Hopkins University Press .
   Google Scholar
• Neuts , M. F. and Rao , B. M. 1990 . Numerical investigation of a multiserver retrial model . Queueing Syst. Theory Appl. , 7 : 169 – 190 .
   Google Scholar
• Stepanov , S. N. 1999 . Markov models with retrials: The calculation of stationary performance measures based on the concept of truncation . Math. Comput. Model. , 30 : 207 – 228 .
   Web of Science ®Google Scholar
• Yang , T. and Templeton , J. G.C. 1987 . A survey on retrial queues . Queueing Syst. Theory Appl. , 2 : 201 – 233 .
   Google Scholar