메뉴 건너뛰기




Volumn 11, Issue 3, 1998, Pages 355-368

Some reflections on the renewal-theory paradox in queueing theory

Author keywords

Decomposition; Inspection Paradox; Polling Models; Renewal Theory Paradox; Vacation Models; Waiting Times; Waiting Time Paradox M G 1 Queues

Indexed keywords


EID: 54649083968     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S104895339800029X     Document Type: Article
Times cited : (8)

References (37)
  • 2
    • 0001311022 scopus 로고
    • Pseudo-conservation laws in cyclic-service systems
    • Boxma, O.J. and Groenendijk, W.P., Pseudo-conservation laws in cyclic-service systems, J. of Applied Probability 24 (1987), 949-964.
    • (1987) J. of Applied Probability , vol.24 , pp. 949-964
    • Boxma, O.J.1    Groenendijk, W.P.2
  • 3
    • 0000191417 scopus 로고
    • Delays in single-server queues with batch input
    • Burke, P.J., Delays in single-server queues with batch input, Operations Research 23 (1975), 830-833.
    • (1975) Operations Research , vol.23 , pp. 830-833
    • Burke, P.J.1
  • 4
    • 0014753142 scopus 로고
    • Queues served in cyclic order: Waiting times
    • Cooper, R.B., Queues served in cyclic order: Waiting times, Bell System Tech. J. 49 (1970), 399-413.
    • (1970) Bell System Tech. J. , vol.49 , pp. 399-413
    • Cooper, R.B.1
  • 5
    • 0346680053 scopus 로고
    • Beneš's formula for M/G/1-FIFO 'explained' by preemptive-resume LIFO
    • Cooper, R.B. and Niu, S.-C., Beneš's formula for M/G/1-FIFO 'explained' by preemptive-resume LIFO, J. of Applied Probability 23 (1986), 550-554.
    • (1986) J. of Applied Probability , vol.23 , pp. 550-554
    • Cooper, R.B.1    Niu, S.-C.2
  • 6
    • 0030182229 scopus 로고    scopus 로고
    • A decomposition theorem for polling models: The switchover times are effectively additive
    • Cooper, R.B., Niu, S.-C and Srinivasan, M.M., A decomposition theorem for polling models: The switchover times are effectively additive, Operations Research 44 (1996), 629-633.
    • (1996) Operations Research , vol.44 , pp. 629-633
    • Cooper, R.B.1    Niu, S.-C.2    Srinivasan, M.M.3
  • 7
    • 0032138578 scopus 로고    scopus 로고
    • When does forced idle time improve performance in polling models?
    • to appear
    • Cooper, R.B., Niu, S.-C. and Srinivasan, M.M., When does forced idle time improve performance in polling models?, Management Science (1998), to appear.
    • (1998) Management Science
    • Cooper, R.B.1    Niu, S.-C.2    Srinivasan, M.M.3
  • 9
    • 0027667502 scopus 로고
    • Teletraffic theory applied to the analysis of hash-structured files
    • Cooper, R.B. and Solomon, M.K., Teletraffic theory applied to the analysis of hash-structured files, Intern. J. of Electronics and Commun. 47 (1993), 336-341.
    • (1993) Intern. J. of Electronics and Commun. , vol.47 , pp. 336-341
    • Cooper, R.B.1    Solomon, M.K.2
  • 10
    • 0022082369 scopus 로고
    • A note on stochastic decomposition in a GI/G/1 queue with vaca-tions or set-up times
    • Doshi, B.T., A note on stochastic decomposition in a GI/G/1 queue with vaca-tions or set-up times, J. of Applied Prob. 22 (1985), 419-428.
    • (1985) J. of Applied Prob. , vol.22 , pp. 419-428
    • Doshi, B.T.1
  • 11
    • 0002480644 scopus 로고
    • Single-server queues with vacations
    • ed. by H. Takagi, Elsevier, North-Holland
    • Doshi, B.T., Single-server queues with vacations, Stoch. Anal, of Comp, and Commun. Systems, (ed. by H. Takagi), Elsevier, North-Holland (1990).
    • (1990) Stoch. Anal, of Comp, and Commun. Systems
    • Doshi, B.T.1
  • 12
    • 0022953326 scopus 로고
    • Mean waiting times for a token ring with station-dependent overheads
    • ed. by R.L. Pickholtz, Computer Science Press
    • Ferguson, M.J., Mean waiting times for a token ring with station-dependent overheads, In: Local Area and Multiple Access Networks (ed. by R.L. Pickholtz), Computer Science Press (1986), 43-67.
    • (1986) Local Area and Multiple Access Networks , pp. 43-67
    • Ferguson, M.J.1
  • 13
    • 0022024730 scopus 로고
    • Exact results for nonsymmetric token ring systems
    • Ferguson, M.J. and Aminetzah, Y.J., Exact results for nonsymmetric token ring systems, IEEE Trans, on Commun. COM-33 (1985), 223-231.
    • (1985) IEEE Trans, on Commun. , vol.COM-33 , pp. 223-231
    • Ferguson, M.J.1    Aminetzah, Y.J.2
  • 14
    • 0022134990 scopus 로고
    • Symmetric queues served in cyclic order
    • Fuhrmann, S.W., Symmetric queues served in cyclic order, Operations Research Letters 4 (1985), 139-144.
    • (1985) Operations Research Letters , vol.4 , pp. 139-144
    • Fuhrmann, S.W.1
  • 15
    • 0000265719 scopus 로고
    • A decomposition result for a class of polling models
    • Fuhrmann, S.W., A decomposition result for a class of polling models, Queueing Systems, Theory and Appl. 11 (1992), 109-120.
    • (1992) Queueing Systems, Theory and Appl. , vol.11 , pp. 109-120
    • Fuhrmann, S.W.1
  • 16
    • 85034165670 scopus 로고    scopus 로고
    • On approximating mean waiting times in polling models with half of the mean cycle times
    • Proceedings, ITC 15 ed. by V. Ramaswami and P.E. Wirth Elsevier
    • Fuhrmann, S.W., On approximating mean waiting times in polling models with half of the mean cycle times, Teletraffic Cont. for the Info. Age, Proceedings, ITC 15 (ed. by V. Ramaswami and P.E. Wirth) Vol. 2a, Elsevier (1997), 265-273.
    • (1997) Teletraffic Cont. for the Info. Age , vol.2 A , pp. 265-273
    • Fuhrmann, S.W.1
  • 17
    • 0022130542 scopus 로고
    • Stochastic decompositions in the M/G/1 queue with generalized vacations
    • Fuhrmann, S.W. and Cooper, R.B., Stochastic decompositions in the M/G/1 queue with generalized vacations, Operations Research 33 (1985), 1117-1129.
    • (1985) Operations Research , vol.33 , pp. 1117-1129
    • Fuhrmann, S.W.1    Cooper, R.B.2
  • 21
    • 0016562766 scopus 로고
    • Utilization of idle time in an M/G/1 queueing system
    • Levy, Y. and Yechiali, U., Utilization of idle time in an M/G/1 queueing system, Management Science 22 (1975), 202-211.
    • (1975) Management Science , vol.22 , pp. 202-211
    • Levy, Y.1    Yechiali, U.2
  • 22
    • 84972037060 scopus 로고
    • The waiting-time distribution for the GI/G/1 queue under the D-policy
    • Li, J. and Niu, S.-C, The waiting-time distribution for the GI/G/1 queue under the D-policy, Prob. in the Eng. and Info. Sciences 6 (1992), 287-308.
    • (1992) Prob. in the Eng. and Info. Sciences , vol.6 , pp. 287-308
    • Li, J.1    Niu, S.-C.2
  • 23
    • 0347310684 scopus 로고
    • Representing workloads in GI/G/1 queues through the preemptive-resume LIFO queue discipline
    • Niu, S.-C., Representing workloads in GI/G/1 queues through the preemptive-resume LIFO queue discipline, Queueing Systems, Theory and Appl. 3 (1988), 157-178.
    • (1988) Queueing Systems, Theory and Appl. , vol.3 , pp. 157-178
    • Niu, S.-C.1
  • 25
    • 0000693149 scopus 로고
    • Variance effects in cyclic production systems
    • Sarkar, D. and Zangwill, W.I., Variance effects in cyclic production systems, Management Science 37 (1991), 443-453.
    • (1991) Management Science , vol.37 , pp. 443-453
    • Sarkar, D.1    Zangwill, W.I.2
  • 26
    • 0009644843 scopus 로고
    • A priority queueing system with server-walking time
    • Skinner, CE., A priority queueing system with server-walking time, Operations Research 15 (1967), 278-285.
    • (1967) Operations Research , vol.15 , pp. 278-285
    • Skinner, C.E.1
  • 30
    • 0002912162 scopus 로고
    • Queueing analysis of polling models: An update
    • ed. by H. Takagi, North-Holland, Amsterdam
    • Takagi, H., Queueing analysis of polling models: An update, In: Stochastic Analysis of Comp. and Commun. Systems (ed. by H. Takagi), North-Holland, Amsterdam 1990.
    • (1990) Stochastic Analysis of Comp. and Commun. Systems
    • Takagi, H.1
  • 32
    • 0002298307 scopus 로고    scopus 로고
    • Queueing analysis of polling models: Progress in 1990-1994
    • Chapter 5 ed. by J.H. Dshalalow, CRC Press, Boca Raton, Florida
    • Takagi, H., Queueing analysis of polling models: Progress in 1990-1994, Chapter 5 in Frontiers in Queueing: Models and Applications in Science and Engineering (ed. by J.H. Dshalalow), CRC Press, Boca Raton, Florida (1997), 119-146.
    • (1997) Frontiers in Queueing: Models and Applications in Science and Engineering , pp. 119-146
    • Takagi, H.1
  • 33
    • 0020815865 scopus 로고
    • Comparing batch delays and customer delays
    • Whitt, W., Comparing batch delays and customer delays, Bell System Tech. J. 62 (1983), 2001-2009.
    • (1983) Bell System Tech. J. , vol.62 , pp. 2001-2009
    • Whitt, W.1
  • 34
    • 0022023316 scopus 로고
    • The renewal-process stationary-excess operator
    • Whitt, W., The renewal-process stationary-excess operator, J. of Applied Prob. 22 (1985), 156-167.
    • (1985) J. of Applied Prob. , vol.22 , pp. 156-167
    • Whitt, W.1
  • 35
    • 0020103086 scopus 로고
    • Poisson arrivals see time averages
    • Wolff, R.W., Poisson arrivals see time averages, Operations Research 30 (1982), 223-231.
    • (1982) Operations Research , vol.30 , pp. 223-231
    • Wolff, R.W.1
  • 36
    • 0013381855 scopus 로고
    • Sample-path derivations of the excess, age, and spread distributions
    • Wolff, R.W., Sample-path derivations of the excess, age, and spread distributions, J. of Applied Prob. 25 (1988), 432-436.
    • (1988) J. of Applied Prob. , vol.25 , pp. 432-436
    • Wolff, R.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.