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Volumn 38, Issue 1, 2001, Pages 209-222

Analysis of the busy period for the M / M / c queue: An algorithmic approach

Author keywords

Multiserver queues; busy period; number of customers served; maximum entropy principle

Indexed keywords


EID: 0035533784     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/996986654     Document Type: Article
Times cited : (27)

References (23)
  • 1
    • 0000445293 scopus 로고
    • Two-server bulk-service queuing process
    • ARORA, K. L. (1964). Two-server bulk-service queuing process. Operat. Res. 12, 286-294.
    • (1964) Operat. Res. , vol.12 , pp. 286-294
    • Arora, K.L.1
  • 2
    • 0141754239 scopus 로고    scopus 로고
    • Accessible bibliography on retrial queues
    • ARTALEJO, J. R. (1999). Accessible bibliography on retrial queues. Math. Comput. Model. 30, 1-6.
    • (1999) Math. Comput. Model. , vol.30 , pp. 1-6
    • Artalejo, J.R.1
  • 3
    • 0031082703 scopus 로고    scopus 로고
    • Steady state solution of a single-server queue with linear repeated request
    • ARTALEJO, J. R. AND GOMEZ-CORRAL, A. (1997). Steady state solution of a single-server queue with linear repeated request. J. Appl. Prob. 34, 223-233.
    • (1997) J. Appl. Prob. , vol.34 , pp. 223-233
    • Artalejo, J.R.1    Gomez-Corral, A.2
  • 4
    • 0034158820 scopus 로고    scopus 로고
    • On the busy period of the M/ G / 1 retrial queue
    • 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.
    • (2000) Naval Res. Logist. , vol.47 , pp. 115-127
    • Artalejo, J.R.1    Lopez-Herrero, M.J.2
  • 5
    • 0032237771 scopus 로고    scopus 로고
    • Idle and busy periods in stable M/ M / k queues
    • DALEY, D. J. AND SERVI, L. D. (1998). Idle and busy periods in stable M/ M / k queues. J. Appl. Prob. 35, 950-962.
    • (1998) J. Appl. Prob. , vol.35 , pp. 950-962
    • Daley, D.J.1    Servi, L.D.2
  • 6
    • 21844514641 scopus 로고
    • Information theoretic approximations for the M /G / 1 retrial queue
    • FALIN, G. I., MARTIN, M. AND ARTALEJO, J. R. (1994). Information theoretic approximations for the M /G / 1 retrial queue. Acta Inf. 31, 559-571.
    • (1994) Acta Inf. , vol.31 , pp. 559-571
    • Falin, G.I.1    Martin, M.2    Artalejo, J.R.3
  • 8
    • 0022674342 scopus 로고
    • Finiteness of moments of partial busy periods for M / G / c queues
    • GHAHRAMANI, S. (1986). Finiteness of moments of partial busy periods for M / G / c queues. J. Appl. Prob. 23, 261-264.
    • (1986) J. Appl. Prob. , vol.23 , pp. 261-264
    • Ghahramani, S.1
  • 9
    • 0001319178 scopus 로고
    • On remaining full busy periods of G1 / G / c queues and their relation to stationary point processes
    • GHAHRAMANI, S. (1990). On remaining full busy periods of G1 / G / c queues and their relation to stationary point processes. J. Appl. Prob. 27, 232-236.
    • (1990) J. Appl. Prob. , vol.27 , pp. 232-236
    • Ghahramani, S.1
  • 10
    • 2042488747 scopus 로고
    • Many server queueing processes with poisson input and exponential service times
    • KARLIN, S. AND MCGREGOR, J. (1958). Many server queueing processes with Poisson input and exponential service times. Pacific J. Math. 8, 87-118.
    • (1958) Pacific J. Math. , vol.8 , pp. 87-118
    • Karlin, S.1    McGregor, J.2
  • 11
    • 0000165748 scopus 로고
    • On the characteristics of the general queuing process with applications to random walks
    • KIEFER, J. AND WOLFOWITZ, J. (1956). On the characteristics of the general queuing process with applications to random walks. Ann. Math. Statist. 27, 147-161.
    • (1956) Ann. Math. Statist. , vol.27 , pp. 147-161
    • Kiefer, J.1    Wolfowitz, J.2
  • 13
    • 33845483702 scopus 로고
    • Entropy maximization and queueing networks models
    • KOUVATSOS, D. D. (1994). Entropy maximization and queueing networks models. Ann. Operat. Res. 48, 63-126.
    • (1994) Ann. Operat. Res. , vol.48 , pp. 63-126
    • Kouvatsos, D.D.1
  • 14
    • 0043231089 scopus 로고    scopus 로고
    • MEM for arbitrary closed queueing networks with RS-blocking and multiple job classes
    • KOUVATSOS, D. D. AND AWAN, I. U. (1998). MEM for arbitrary closed queueing networks with RS-blocking and multiple job classes. Ann. Operat. Res. 79, 231-269.
    • (1998) Ann. Operat. Res. , vol.79 , pp. 231-269
    • Kouvatsos, D.D.1    Awan, I.U.2
  • 15
    • 0007164676 scopus 로고
    • Approximating the distribution of the maximum queue length for M / M / s queues
    • eds U. N. Bhat and I. V. Basawa, Clarendon Press, Oxford
    • MCCORMICK, W. P. AND PARK, Y. S. (1992). Approximating the distribution of the maximum queue length for M / M / s queues. In Queuing and Related Models, eds U. N. Bhat and I. V. Basawa, Clarendon Press, Oxford, pp. 240-261.
    • (1992) Queuing and Related Models , pp. 240-261
    • McCormick, W.P.1    Park, Y.S.2
  • 16
    • 0016555376 scopus 로고
    • On the waiting-time and busy period distributions for a general birth-and-death queueing model
    • NATVIG, B. (1975a). On the waiting-time and busy period distributions for a general birth-and-death queueing model. J. Appl. Prob. 12, 524-532.
    • (1975) J. Appl. Prob. , vol.12 , pp. 524-532
    • Natvig, B.1
  • 19
    • 0019586465 scopus 로고
    • Properties of cross-entropy minimization
    • SHORE, J. E. AND JOHNSON, R. W. (1981). Properties of cross-entropy minimization. IEEE Trans. Inf. Theory 27, 472-482.
    • (1981) IEEE Trans. Inf. Theory , vol.27 , pp. 472-482
    • Shore, J.E.1    Johnson, R.W.2
  • 21
    • 0017959337 scopus 로고
    • Analysis and applications of the delay cycle for the M / M / c queueing system
    • OMAHEN, K. AND MARATHE, V. (1978). Analysis and applications of the delay cycle for the M / M / c queueing system. J. Assoc. Comput. Mach. 25, 283-303.
    • (1978) J. Assoc. Comput. Mach. , vol.25 , pp. 283-303
    • Omahen, K.1    Marathe, V.2
  • 22
    • 0000770266 scopus 로고
    • A maximum entropy method for inverting Laplace transforms of probability density functions
    • WAGNER, U. AND GEYER, A. L. (1995). A maximum entropy method for inverting Laplace transforms of probability density functions. Biometrika 82, 887-892.
    • (1995) Biometrika , vol.82 , pp. 887-892
    • Wagner, U.1    Geyer, A.L.2
  • 23
    • 0007168958 scopus 로고
    • On the busy period distribution of the M / G / 2 queueing system
    • WIENS, D. P. (1989). On the busy period distribution of the M / G / 2 queueing system. J. Appl. Prob. 27, 858-865.
    • (1989) J. Appl. Prob. , vol.27 , pp. 858-865
    • Wiens, D.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.