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Volumn 23, Issue 2, 1998, Pages 257-304

Polling systems in heavy traffic: A Bessel process limit

Author keywords

Averaging principles; Bessel process; Heavy traffic limit; Polling systems; Semi martingales

Indexed keywords

NUMERICAL METHODS; PERFORMANCE; QUEUEING THEORY; SWITCHING SYSTEMS; TELECOMMUNICATION SERVICES; TELECOMMUNICATION SYSTEMS; TELECOMMUNICATION TRAFFIC;

EID: 0032075277     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.23.2.257     Document Type: Article
Times cited : (67)

References (20)
  • 4
    • 21844507918 scopus 로고
    • Polling systems with zero switchover times: A heavy traffic averaging principle
    • _, _, _ (1995). Polling systems with zero switchover times: A heavy traffic averaging principle. Ann. Appl. Prob. 5 681-719.
    • (1995) Ann. Appl. Prob. , vol.5 , pp. 681-719
  • 5
    • 0014756893 scopus 로고
    • Multiple channel queues in heavy traffic, I and H
    • Iglehart, D. L., W. Whitt (1970). Multiple channel queues in heavy traffic, I and H. Adv. Appl. Prob. 2 150-177 and 355-364.
    • (1970) Adv. Appl. Prob. , vol.2 , pp. 150-177
    • Iglehart, D.L.1    Whitt, W.2
  • 8
    • 0014596275 scopus 로고
    • Work scheduling algorithms: A nonprobabilistic queueing study (with possible application to No. 1 ESS)
    • Kruskal, J. B. (1969). Work scheduling algorithms: A nonprobabilistic queueing study (with possible application to No. 1 ESS). Bell Sys. Tech. J. 48 2963-2974.
    • (1969) Bell Sys. Tech. J. , vol.48 , pp. 2963-2974
    • Kruskal, J.B.1
  • 9
    • 0026105475 scopus 로고
    • Cyclic-service systems with probabilistically-limited service
    • Leung, K. K. (1991). Cyclic-service systems with probabilistically-limited service. IEEE J. Sel. Areas Comm. 9, 185-193.
    • (1991) IEEE J. Sel. Areas Comm. , vol.9 , pp. 185-193
    • Leung, K.K.1
  • 10
    • 0025502587 scopus 로고
    • Polling systems: Applications, modeling, and optimization
    • Levy, H., M. Sidi (1990). Polling systems: Applications, modeling, and optimization. IEEE Trans. Comm. 38 1750-1760.
    • (1990) IEEE Trans. Comm. , vol.38 , pp. 1750-1760
    • Levy, H.1    Sidi, M.2
  • 13
    • 0000279589 scopus 로고
    • A multiclass feedback queue in heavy traffic
    • Reiman, M. I. (1988). A multiclass feedback queue in heavy traffic. Adv. Appl. Prob. 2 179-207.
    • (1988) Adv. Appl. Prob. , vol.2 , pp. 179-207
    • Reiman, M.I.1
  • 14
    • 85034465719 scopus 로고
    • Dynamic scheduling of a two-class queue with setups
    • to appear
    • _, L. M. Wein (1995). Dynamic scheduling of a two-class queue with setups. Oper. Res. to appear.
    • (1995) Oper. Res.
    • Wein, L.M.1
  • 15
    • 1942497722 scopus 로고
    • Weak convergence of a sequence of queueing and storage processes to a singular diffusion
    • F. Baccelli, G. Fayolle, eds., Springer-Verlag, Berlin-Heidelberg-New York-Tokyo
    • Rosenkrantz, W. A. (1984). Weak convergence of a sequence of queueing and storage processes to a singular diffusion, F. Baccelli, G. Fayolle, eds., Lect. Notes in Control Inform. Sci., vol. 60. Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 257-272.
    • (1984) Lect. Notes in Control Inform. Sci. , vol.60 , pp. 257-272
    • Rosenkrantz, W.A.1
  • 17
    • 0002912162 scopus 로고
    • Queueing analysis of polling models: An update
    • H. Takagi, ed., North Holland, Amsterdam
    • _ (1990). Queueing analysis of polling models: An update. H. Takagi, ed., Stochastic Analysis of Computer and Communication Systems. North Holland, Amsterdam.
    • (1990) Stochastic Analysis of Computer and Communication Systems
  • 18
    • 0018977055 scopus 로고
    • Some useful functions for functional limit theorems
    • Whitt, W. (1980). Some useful functions for functional limit theorems. Math. Oper. Res. 5 67-85.
    • (1980) Math. Oper. Res. , vol.5 , pp. 67-85
    • Whitt, W.1
  • 19
    • 0021477543 scopus 로고
    • Diffusion approximations for storage processes with general release rules
    • Yamada, K. (1984). Diffusion approximations for storage processes with general release rules. Math. Oper. Res. 9 459-470.
    • (1984) Math. Oper. Res. , vol.9 , pp. 459-470
    • Yamada, K.1
  • 20
    • 38249038651 scopus 로고
    • Multi-dimensional Bessel processes as heavy traffic limits of certain tandem queues
    • _ (1986). Multi-dimensional Bessel processes as heavy traffic limits of certain tandem queues. Stock. Proc. Appl. 23 35-56.
    • (1986) Stock. Proc. Appl. , vol.23 , pp. 35-56


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.