Algorithmic analysis of the maximum level length in general-block two-dimensional Markov processes

Mathematical Problems in Engineering

Volumn 2006, Issue , 2006, Pages

  Artalejo, Jesus R ^a   Chakravarthy, Srinivas R ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b KETTERING UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; NUMERICAL METHODS; QUEUEING THEORY; TWO DIMENSIONAL;

ALGORITHMIC ANALYSIS; DESCRIPTORS; GENERAL-BLOCK STRUCTURE; PRODUCTION SYSTEMS;

MARKOV PROCESSES;

EID: 33746597896     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/MPE/2006/53570     Document Type: Article

References (16)

1. V. V. Anisimov J. R. Artalejo Analysis of Markov multiserver retrial queues with negative arrivals. Queueing Systems. Theory and Applications Queueing Systems. Theory and Applications 39 2001 2-3 157 182
2. J. R. Artalejo S. R. Chakravarthy Algorithmic analysis of the MAP/PH/1retrial queue. submitted
3. J. R. Artalejo S. R. Chakravarthy Computational analysis of the maximal queue length in the MAP/M/cretrial queue. submitted
4. J. R. Artalejo A. Economou A. Gomez-Corral Applications of maximum queue length to call centers management. to appear in Computers & Operations Research
5. S. R. Chakravarthy A. Krishnamoorthy N. Raju V. Ramaswami The batch Markovian arrival process: A review and future work. Advances in Probability Theory and Stochastic Processes Notable Publications New Jersey 2000 21 39
6. D. J. Houck W. S. Lai Traffic modeling and analysis of hybrid fiber-coax systems. Computer Networks and ISDN Systems 30 1998 8 821 834
7. G. K. Janssens The quasi-random input queueing system with repeated attempts as a model for acollision-avoidance star local area network. IEEE Transactions on Communications 45 1997 3 360 364
8. G. Latouche V. Ramaswami Introduction to Matrix Analytic Methods in Stochastic Modeling. ASA-SIAM Series on Statistics and Applied Probability SIAM, Pennsylvania; American Statistical Association, Virginia 1999 xiv+334
9. D. M. Lucantoni New results on the single server queue with a batch Markovian arrival process. Communications in Statistics. Stochastic Models Communications in Statistics. Stochastic Models 7 1991 1 1 46
10. M. A. Marsan G. de Carolis E. Leonardi R. Lo Cigno M. Meo Efficient estimation of call blocking probabilities in cellular mobile telephony networks with customer retrials. IEEE Journal on Selected Areas in Communications 19 2001 2 332 346
11. M. F. Neuts The distribution of the maximum length of a Poisson queue during a busy period. Operations Research Operations Research 12 1964 2 281 285
12. M. F. Neuts Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach. Johns Hopkins Series in the Mathematical Sciences 2 Johns Hopkins University Press Maryland 1981 ix+332
13. M. F. Neuts Structured Stochastic Matrices of M/G/1 Type and Their Applications. Probability: Pure and Applied 5 Marcel Dekker New York 1989 xvi+510
14. R. F. Serfozo Extreme values of birth and death processes and queues. Stochastic Processes and their Applications Stochastic Processes and their Applications 27 1988 2 291 306
15. H. Shimonishi T. Takine M. Murata H. Miyahara Performance analysis of fast reservation protocol in ATM networks with arbitrary topologies. Performance Evaluation 27-28 1996 41 69
16. P. Tran-Gia M. Mandjes Modeling of customer retrial phenomenon in cellular mobile networks. IEEE Journal on Selected Areas in Communications 15 1997 8 1406 1414