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Volumn 30, Issue 3-4, 1999, Pages 65-78

Averaging methods for transient regimes in overloading retrial queueing systems

Author keywords

Averaging principle; Diffusion approximation; Markov processes; Retrial queueing systems; Switching processes

Indexed keywords


EID: 0033178694     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(99)00132-6     Document Type: Article
Times cited : (17)

References (39)
  • 2
    • 34249959569 scopus 로고
    • A survey of retrial queues
    • G.I. Falin, A survey of retrial queues, Queueing Systems 7, 127-168 (1990).
    • (1990) Queueing Systems , vol.7 , pp. 127-168
    • Falin, G.I.1
  • 4
    • 0021393762 scopus 로고
    • A service model in which the server is required to search for customers
    • M.F. Neuts and M.F. Ramalhoto, A service model in which the server is required to search for customers, Journal of Applied Probability 21, 157-166 (1984).
    • (1984) Journal of Applied Probability , vol.21 , pp. 157-166
    • Neuts, M.F.1    Ramalhoto, M.F.2
  • 5
    • 21344488474 scopus 로고
    • On the single server retrial queue with priority customers
    • G.I. Falin, J.R. Artalejo and M. Martin, On the single server retrial queue with priority customers, Queueing Systems 14, 439-455 (1993).
    • (1993) Queueing Systems , vol.14 , pp. 439-455
    • Falin, G.I.1    Artalejo, J.R.2    Martin, M.3
  • 6
    • 0029305051 scopus 로고
    • A queueing system with returning customers and waiting line
    • J.R. Artalejo, A queueing system with returning customers and waiting line, Operations Research Letters 17, 191-199 (1995).
    • (1995) Operations Research Letters , vol.17 , pp. 191-199
    • Artalejo, J.R.1
  • 7
    • 21844508059 scopus 로고
    • Estimation of retrial rate in a retrial queue
    • G.I. Falin, Estimation of retrial rate in a retrial queue, Queueing Systems 19, 231-246 (1995).
    • (1995) Queueing Systems , vol.19 , pp. 231-246
    • Falin, G.I.1
  • 8
    • 0003259135 scopus 로고
    • Approximation for multiserver queues with balking/retrial discipline
    • G.I. Falin and J.R. Artalejo, Approximation for multiserver queues with balking/retrial discipline, OR Spektrum 17, 239-244 (1995).
    • (1995) OR Spektrum , vol.17 , pp. 239-244
    • Falin, G.I.1    Artalejo, J.R.2
  • 9
    • 0000431286 scopus 로고
    • Analysis of an M/G/1 queue with two types of impatient units
    • M. Martin and J.R. Artalejo, Analysis of an M/G/1 queue with two types of impatient units, Advances in Applied Probability 27, 840-861 (1995).
    • (1995) Advances in Applied Probability , vol.27 , pp. 840-861
    • Martin, M.1    Artalejo, J.R.2
  • 10
    • 0030420266 scopus 로고    scopus 로고
    • On the orbit characteristics of the M/G/1 retrial queue
    • J.R. Artalejo and G.I. Falin, On the orbit characteristics of the M/G/1 retrial queue, Naval Research Logistics 43, 1147-1161 (1996).
    • (1996) Naval Research Logistics , vol.43 , pp. 1147-1161
    • Artalejo, J.R.1    Falin, G.I.2
  • 11
    • 0031166569 scopus 로고    scopus 로고
    • Analysis of an M/G/1 queue with constant repeated attempts and server vacations
    • J.R. Artalejo, Analysis of an M/G/1 queue with constant repeated attempts and server vacations, Computer and Operations Research 24, 493-504 (1997).
    • (1997) Computer and Operations Research , vol.24 , pp. 493-504
    • Artalejo, J.R.1
  • 12
    • 0009652450 scopus 로고
    • Asymptotic analysis of highly-reliable systems with repeated call
    • in Russian
    • V.V. Anisimov and Kh.L. Atadzhanov, Asymptotic analysis of highly-reliable systems with repeated call (in Russian), Issledov. Oper. i ASU 37, 32-36 (1991).
    • (1991) Issledov. Oper. I ASU , vol.37 , pp. 32-36
    • Anisimov, V.V.1    Atadzhanov, Kh.L.2
  • 14
    • 0009642540 scopus 로고
    • Diffusion approximation of systems with repeated calls and unreliable server
    • V.V. Anisimov and Kh.L. Atadzhanov, Diffusion approximation of systems with repeated calls and unreliable server, Journal of Mathematical Sciences 72, 3032-3034 (1994).
    • (1994) Journal of Mathematical Sciences , vol.72 , pp. 3032-3034
    • Anisimov, V.V.1    Atadzhanov, Kh.L.2
  • 20
    • 0001736003 scopus 로고
    • Hierarchical modelling of stochastic networks
    • (Edited by D.D. Yao), Springer-Verlag
    • H. Chen and A. Mandelbaum, Hierarchical modelling of stochastic networks, Part I, II, In Stochastic Modeling and Analysis of Manufacturing Systems, (Edited by D.D. Yao), pp. 47-105; 107-131, Springer-Verlag, (1994).
    • (1994) Stochastic Modeling and Analysis of Manufacturing Systems , pp. 47-105
    • Chen, H.1    Mandelbaum, A.2
  • 21
    • 0001989346 scopus 로고
    • Balanced fluid models of multiclass queueing network: A heavy traffic conjecture
    • IMA Volumes in Mathematics and its Appl.
    • J.M. Harrison, Balanced fluid models of multiclass queueing network: A heavy traffic conjecture, In Stochastic Networks, IMA Volumes in Mathematics and its Appl., Volume 71, pp. 1-20, (1995).
    • (1995) Stochastic Networks , vol.71 , pp. 1-20
    • Harrison, J.M.1
  • 22
    • 0030546578 scopus 로고    scopus 로고
    • A multiclass closed queueing network with unconventional heavy traffic behavior
    • J.M. Harrison and R.J. Williams, A multiclass closed queueing network with unconventional heavy traffic behavior, Ann. Appl. Probab. 6 (1), 1-47 (1996).
    • (1996) Ann. Appl. Probab. , vol.6 , Issue.1 , pp. 1-47
    • Harrison, J.M.1    Williams, R.J.2
  • 23
    • 0001364918 scopus 로고
    • Switching processes
    • V.V. Anisimov, Switching processes, Cybernetics 13 (4), 590-595 (1977).
    • (1977) Cybernetics , vol.13 , Issue.4 , pp. 590-595
    • Anisimov, V.V.1
  • 24
    • 0018042455 scopus 로고
    • Limit theorems for switching processes and their applications
    • V.V. Anisimov, Limit theorems for switching processes and their applications, Cybernetics 14 (6), 917-929 (1978).
    • (1978) Cybernetics , vol.14 , Issue.6 , pp. 917-929
    • Anisimov, V.V.1
  • 25
    • 0009574631 scopus 로고
    • Limit theorems for switching processes
    • Proc. Postgrad. School and Conf., Dubrovnik, Yugoslavia
    • V.V. Anisimov, Limit theorems for switching processes, In Functional Analysis III, Proc. Postgrad. School and Conf., Dubrovnik, Yugoslavia, (1989); Var. Publ. Ser., Aarhus Univ. (40), 235-262 (1992).
    • (1989) Functional Analysis III
    • Anisimov, V.V.1
  • 26
    • 0009624549 scopus 로고
    • V.V. Anisimov, Limit theorems for switching processes, In Functional Analysis III, Proc. Postgrad. School and Conf., Dubrovnik, Yugoslavia, (1989); Var. Publ. Ser., Aarhus Univ. (40), 235-262 (1992).
    • (1992) Var. Publ. Ser., Aarhus Univ. , Issue.40 , pp. 235-262
  • 27
    • 0002809590 scopus 로고
    • Switching processes: Averaging principle, diffusion approximation and applications
    • Kluwer, The Netherlands
    • V.V. Anisimov, Switching processes: Averaging principle, diffusion approximation and applications, Acta Applicandae Mathematicae, Kluwer, The Netherlands 40, 95-141 (1995).
    • (1995) Acta Applicandae Mathematicae , vol.40 , pp. 95-141
    • Anisimov, V.V.1
  • 28
    • 0009646592 scopus 로고    scopus 로고
    • Asymptotic analysis of switching queueing systems in conditions of low and heavy loading
    • Lecture Notes in Pure and Appl. Mathem. Series, Marcel Dekker
    • V.V. Anisimov, Asymptotic analysis of switching queueing systems in conditions of low and heavy loading, In Matrix-Analytic Methods in Stochastic Models, Lecture Notes in Pure and Appl. Mathem. Series, Volume 183, pp. 241-260, Marcel Dekker, (1996).
    • (1996) Matrix-Analytic Methods in Stochastic Models , vol.183 , pp. 241-260
    • Anisimov, V.V.1
  • 29
    • 0009632802 scopus 로고
    • Markov processes which are homogeneous in the second component
    • I.I. Ežov and A.V. Skorokhod, Markov processes which are homogeneous in the second component, Theor. Probab. Appl. 14, 679-692 (1969).
    • (1969) Theor. Probab. Appl. , vol.14 , pp. 679-692
    • Ežov, I.I.1    Skorokhod, A.V.2
  • 30
    • 0009590345 scopus 로고
    • Asymptotic consolidation of the states of random processes
    • V.V. Anisimov, Asymptotic consolidation of the states of random processes, Cybernetics 9 (3), 494-504 (1973).
    • (1973) Cybernetics , vol.9 , Issue.3 , pp. 494-504
    • Anisimov, V.V.1
  • 32
    • 0000298952 scopus 로고
    • Random evolutions: Survey of results and problems
    • R. Hersh, Random evolutions: Survey of results and problems, Rocky Mount. J. Math. 4 (3), 443-475 (1974).
    • (1974) Rocky Mount. J. Math. , vol.4 , Issue.3 , pp. 443-475
    • Hersh, R.1
  • 33
    • 0002546882 scopus 로고
    • A limit theorem for perturbed operator semigroups with applications to random evolutions
    • T. Kurtz, A limit theorem for perturbed operator semigroups with applications to random evolutions, J. Funct. Anal. 12, 55-67 (1973).
    • (1973) J. Funct. Anal. , vol.12 , pp. 55-67
    • Kurtz, T.1
  • 34
    • 0009649068 scopus 로고
    • Lecture Notes in Math., Springer-Verlag, New York
    • M. Pinsky, Random Evolutions, Lecture Notes in Math., Volume 451, pp. 89-100, Springer-Verlag, New York, (1975).
    • (1975) Random Evolutions , vol.451 , pp. 89-100
    • Pinsky, M.1
  • 37
    • 0009642541 scopus 로고
    • Limit theorems for recurrent processes of semi-Markov type
    • V.V. Anisimov and A.O. Aliev, Limit theorems for recurrent processes of semi-Markov type, Theor. Probab. and Math. Statist. 41, 7-13 (1990).
    • (1990) Theor. Probab. and Math. Statist. , vol.41 , pp. 7-13
    • Anisimov, V.V.1    Aliev, A.O.2
  • 38
    • 0002103948 scopus 로고
    • Averaging principle for switching recurrent sequences
    • V.V. Anisimov, Averaging principle for switching recurrent sequences, Theor. Probab. and Math. Statist. 45, 1-8 (1991).
    • (1991) Theor. Probab. and Math. Statist. , vol.45 , pp. 1-8
    • Anisimov, V.V.1
  • 39


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.