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Volumn 18, Issue 3, 2002, Pages 369-386

A unified queue length formula for BMAP/G/1 queue with generalized vacations

Author keywords

BMAP G 1 queue; General recursions; Generalized vacations; Queue length; Unified formulas

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); DATA COMMUNICATION SYSTEMS; PROBABILITY; QUEUEING NETWORKS; RECURSIVE FUNCTIONS; TELECOMMUNICATION TRAFFIC;

EID: 0042631529     PISSN: 15326349     EISSN: None     Source Type: Journal    
DOI: 10.1081/STM-120014218     Document Type: Article
Times cited : (38)

References (21)
  • 1
    • 0001311022 scopus 로고
    • Pseudo-conservation laws in cyclic-service systems
    • Boxma, O.J.; Groenendijk, W.P. Pseudo-Conservation Laws in Cyclic-Service Systems. J. Appl. Probab. 1987, 21, 949-964.
    • (1987) J. Appl. Probab. , vol.21 , pp. 949-964
    • Boxma, O.J.1    Groenendijk, W.P.2
  • 2
    • 0035533039 scopus 로고    scopus 로고
    • An arrival time approach to M/G/1 type queues with generalized vacations
    • Chae, K.C.; Lee, H.W.; Ahn, C.W. An Arrival Time Approach to M/G/1 Type Queues with Generalized Vacations. Queueing Syst. 2001, 38, 91-100.
    • (2001) Queueing Syst. , vol.38 , pp. 91-100
    • Chae, K.C.1    Lee, H.W.2    Ahn, C.W.3
  • 3
    • 34250125289 scopus 로고
    • Queueing systems with vacations: Survey
    • Doshi, B.T. Queueing Systems with Vacations: Survey. Queueing Syst. 1986, 1, 29-66.
    • (1986) Queueing Syst. , vol.1 , pp. 29-66
    • Doshi, B.T.1
  • 4
    • 0000474442 scopus 로고
    • Generalization of the stochastic decomposition results for single server queue with vacations
    • Doshi, B.T. Generalization of the Stochastic Decomposition Results for Single Server Queue with Vacations. Stochastic Models 1990, 6 (2), 307-333.
    • (1990) Stochastic Models , vol.6 , Issue.2 , pp. 307-333
    • Doshi, B.T.1
  • 5
    • 0002480644 scopus 로고
    • Single server queues with vacations
    • Takagi, H., Ed.; North-Holland: Amsterdam
    • Doshi, B.T. Single Server Queues with Vacations. Stochastic Analysis of Computer and Communication System; Takagi, H., Ed.; North-Holland: Amsterdam, 1990; 217-265.
    • (1990) Stochastic Analysis of Computer and Communication System , pp. 217-265
    • Doshi, B.T.1
  • 6
    • 0001167653 scopus 로고
    • Conditional and unconditional distribution for the M/G/1 queueing systems with server vacations
    • Doshi, B.T. Conditional and Unconditional Distribution for the M/G/1 Queueing Systems with Server Vacations. Queueing Syst. 1990, 7, 229-252.
    • (1990) Queueing Syst. , vol.7 , pp. 229-252
    • Doshi, B.T.1
  • 7
    • 0022130542 scopus 로고
    • Stochastic decompositions in the M/G/1 queue with generalized vacations
    • Fuhrmann, S.W.; Cooper, R.B. Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations. Oper. Res. 1985, 33 (6), 1117-1129.
    • (1985) Oper. Res. , vol.33 , Issue.6 , pp. 1117-1129
    • Fuhrmann, S.W.1    Cooper, R.B.2
  • 8
    • 0001257376 scopus 로고
    • A limit theorem on subintervals of interrenewal times
    • Green, L. A Limit Theorem on Subintervals of Interrenewal Times. Oper. Res. 1982, 30, 210-216.
    • (1982) Oper. Res. , vol.30 , pp. 210-216
    • Green, L.1
  • 10
    • 0007176956 scopus 로고    scopus 로고
    • Decompositions of the queue length distributions in the MAP/G/I queue under multiple and single vacations with N-policy
    • Lee, H.W.; Ahn, B.Y.; Park, N.Y. Decompositions of the Queue Length Distributions in the MAP/G/I Queue Under Multiple and Single Vacations with N-policy. Stochastic Models 2001, 17 (2), 157-190.
    • (2001) Stochastic Models , vol.17 , Issue.2 , pp. 157-190
    • Lee, H.W.1    Ahn, B.Y.2    Park, N.Y.3
  • 11
    • 0043251712 scopus 로고    scopus 로고
    • The BMAP/G/1 queue under n-policy with and without vacations
    • Lee, H.W.; Park, N.Y. The BMAP/G/1 Queue Under N-Policy with and without Vacations, Working Paper 2001.
    • (2001) Working Paper
    • Lee, H.W.1    Park, N.Y.2
  • 12
    • 0043251712 scopus 로고    scopus 로고
    • The BMAP/G/1 queue with bilevel control
    • Lee, H.W.; Park, N.Y. The BMAP/G/1 Queue with Bilevel Control, Working Paper 2001.
    • (2001) Working Paper
    • Lee, H.W.1    Park, N.Y.2
  • 13
    • 0000799590 scopus 로고
    • A single-server queue with server vacations and a class of non-renewal arrival processes
    • Lucantoni, D.M.; Meier-Hellstern, K.S.; Neuts, M.F. A Single-Server Queue with Server Vacations and a Class of Non-Renewal Arrival Processes. Adv. Appl. Probab. 1990, 22, 676-705.
    • (1990) Adv. Appl. Probab. , vol.22 , pp. 676-705
    • Lucantoni, D.M.1    Meier-Hellstern, K.S.2    Neuts, M.F.3
  • 14
    • 84949755090 scopus 로고
    • New results on the single-server queue with a batch Markovian arrival process
    • Lucantoni, D.M. New Results on the Single-Server Queue with a Batch Markovian Arrival Process. Stochastic Models 1991, 7, 1-46.
    • (1991) Stochastic Models , vol.7 , pp. 1-46
    • Lucantoni, D.M.1
  • 15
    • 84952795669 scopus 로고
    • The BMAP/G/1 queue: A tutorial
    • Donatiello, L., Nelson, R., Eds.; Springer-Verlag: Berlin
    • Lucantoni, D.M. The BMAP/G/1 Queue: A Tutorial. Performance Evaluation of Computer and Communication Systems; Donatiello, L., Nelson, R., Eds.; Springer-Verlag: Berlin, 1993; 330-358.
    • (1993) Performance Evaluation of Computer and Communication Systems , pp. 330-358
    • Lucantoni, D.M.1
  • 17
    • 38249010732 scopus 로고
    • A generalization of the decomposition property in the M/G/1 queue with server vacations
    • Takine, T.; Hasegawa, T. A Generalization of the Decomposition Property in the M/G/1 Queue with Server Vacations. Oper. Res. Lett. 1992, 12, 97-99.
    • (1992) Oper. Res. Lett. , vol.12 , pp. 97-99
    • Takine, T.1    Hasegawa, T.2
  • 18
    • 0001120020 scopus 로고
    • Workload in the MAP/G/1 queue with state-dependent services: Its application to a queue with preemptive resume priority
    • Takine, T.; Hasegawa, T. Workload in the MAP/G/1 Queue with State-Dependent Services: Its Application to a Queue with Preemptive Resume Priority. Stochastic Models 1994, 10 (1), 183-204.
    • (1994) Stochastic Models , vol.10 , Issue.1 , pp. 183-204
    • Takine, T.1    Hasegawa, T.2
  • 19
    • 0000602367 scopus 로고    scopus 로고
    • A nonpreemptive priority MAP/G/1 queue with two classes of customers
    • Takine, T. A Nonpreemptive Priority MAP/G/1 Queue with Two Classes of Customers. J. Oper. Res. Soc. Jpn 1996, 39 (2), 266-290.
    • (1996) J. Oper. Res. Soc. Jpn , vol.39 , Issue.2 , pp. 266-290
    • Takine, T.1
  • 20
    • 0001015030 scopus 로고    scopus 로고
    • On the relationship between queue lengths at a random instant and at a departure in the stationary queue with bmap arrivals
    • Takine, T.; Takahashi, T. On the Relationship Between Queue Lengths at a Random Instant and at a Departure in the Stationary Queue with BMAP Arrivals. Stochastic Models 1998, 14, 601-610.
    • (1998) Stochastic Models , vol.14 , pp. 601-610
    • Takine, T.1    Takahashi, T.2
  • 21
    • 0033315886 scopus 로고    scopus 로고
    • The nonpreemptive priority MAP/G/1 queue
    • Takine, T. The Nonpreemptive Priority MAP/G/1 Queue. Oper. Res. 1999, 47 (6), 917-927.
    • (1999) Oper. Res. , vol.47 , Issue.6 , pp. 917-927
    • Takine, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.