메뉴 건너뛰기




Volumn 7, Issue 4, 1997, Pages 1058-1079

Optimization via trunk reservation in single resource loss systems under heavy traffic

Author keywords

Loss network; Optimization; Time scale separation; Trunk reservation

Indexed keywords


EID: 0031260683     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1043862424     Document Type: Article
Times cited : (33)

References (33)
  • 2
    • 0000001335 scopus 로고
    • Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks
    • BEAN, N. G., GIBBENS, R. J. and ZACHARY, S. (1995). Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks. Adv. in Appl. Probab. 27 273-292.
    • (1995) Adv. in Appl. Probab. , vol.27 , pp. 273-292
    • Bean, N.G.1    Gibbens, R.J.2    Zachary, S.3
  • 4
    • 0000328390 scopus 로고
    • A paradox of congestion in a queueing network
    • COHEN, J. E. and KELLY, F. P. (1990). A paradox of congestion in a queueing network. J. Appl. Probab. 27 730-734.
    • (1990) J. Appl. Probab. , vol.27 , pp. 730-734
    • Cohen, J.E.1    Kelly, F.P.2
  • 5
    • 0001780638 scopus 로고
    • Effective bandwidths for the multi-type UAS channel
    • GIBBENS, R. J. and HUNT, P. J. (1991). Effective bandwidths for the multi-type UAS channel. Queueing Systems Theory Appl. 9 17-28.
    • (1991) Queueing Systems Theory Appl. , vol.9 , pp. 17-28
    • Gibbens, R.J.1    Hunt, P.J.2
  • 6
    • 0001878030 scopus 로고
    • Bistability in communication networks
    • G. R. Grimmett and D. J. A. Welsh, eds. Oxford Univ. Press
    • GIBBENS, R. J., HUNT, P. J. and KELLY, F. P. (1990). Bistability in communication networks. In Disorder in Physical Systems (G. R. Grimmett and D. J. A. Welsh, eds.) 113-127. Oxford Univ. Press.
    • (1990) Disorder in Physical Systems , pp. 113-127
    • Gibbens, R.J.1    Hunt, P.J.2    Kelly, F.P.3
  • 9
    • 0010668473 scopus 로고
    • Performance bounds applied to loss networks
    • D. M. Titterington, ed. Oxford Univ. Press
    • GIBBENS, R. J. and REICHL, P. C. (1995). Performance bounds applied to loss networks. In Complex Stochastic Systems and Engineering (D. M. Titterington, ed.) 267-279. Oxford Univ. Press.
    • (1995) Complex Stochastic Systems and Engineering , pp. 267-279
    • Gibbens, R.J.1    Reichl, P.C.2
  • 10
    • 0024123889 scopus 로고
    • Resource allocation for broadband networks
    • HUI, J. Y. (1988). Resource allocation for broadband networks. IEEE J. Selected Areas in Communications 6 1598-1608.
    • (1988) IEEE J. Selected Areas in Communications , vol.6 , pp. 1598-1608
    • Hui, J.Y.1
  • 11
    • 21844515587 scopus 로고
    • Pathological behaviour in loss networks
    • HUNT, P. J. (1995). Pathological behaviour in loss networks. J. Appl. Prob. 32 519-533.
    • (1995) J. Appl. Prob. , vol.32 , pp. 519-533
    • Hunt, P.J.1
  • 13
    • 0001541456 scopus 로고
    • Asymptotically optimal loss network control
    • HUNT, P. J. and LAWS, C. N. (1993). Asymptotically optimal loss network control. Math. Oper. Res. 18 880-900.
    • (1993) Math. Oper. Res. , vol.18 , pp. 880-900
    • Hunt, P.J.1    Laws, C.N.2
  • 14
    • 0000272473 scopus 로고
    • Blocking probabilities in large circuit-switched networks
    • KELLY, F. P. (1986). Blocking probabilities in large circuit-switched networks. Adv. in Appl. Probab. 18 473-505.
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 473-505
    • Kelly, F.P.1
  • 15
    • 18344394570 scopus 로고
    • Effective bandwidths at multi-class queues
    • KELLY, F. P. (1991). Effective bandwidths at multi-class queues. Queueing Systems Theory Appl. 9 5-16.
    • (1991) Queueing Systems Theory Appl. , vol.9 , pp. 5-16
    • Kelly, F.P.1
  • 16
    • 0001033437 scopus 로고
    • Loss networks
    • KELLY, F. P. (1991). Loss networks. Ann. Appl. Prob. 1 319-378.
    • (1991) Ann. Appl. Prob. , vol.1 , pp. 319-378
    • Kelly, F.P.1
  • 17
    • 0001869670 scopus 로고
    • Bounds on the performance of dynamic routing schemes for highly connected networks
    • KELLY, F. P. (1994). Bounds on the performance of dynamic routing schemes for highly connected networks. Math. Oper. Res. 19 1-20.
    • (1994) Math. Oper. Res. , vol.19 , pp. 1-20
    • Kelly, F.P.1
  • 18
    • 84971164241 scopus 로고
    • Optimal control and trunk reservation in loss networks
    • KEY, P. B. (1990). Optimal control and trunk reservation in loss networks. Probab. Engrg. Inform. Sci. 4 203-242.
    • (1990) Probab. Engrg. Inform. Sci. , vol.4 , pp. 203-242
    • Key, P.B.1
  • 19
    • 0010670560 scopus 로고
    • Some control issues in telecommunications networks
    • F. P. Kelly, ed. Wiley, New York
    • KEY, P. B. (1994). Some control issues in telecommunications networks. In Probability, Statistics and Optimisation (F. P. Kelly, ed.) 383-395. Wiley, New York.
    • (1994) Probability, Statistics and Optimisation , pp. 383-395
    • Key, P.B.1
  • 20
    • 0002784789 scopus 로고
    • On trunk reservation in loss networks
    • F. P. Kelly and R. J. Williams, eds. Springer, New York
    • LAWS, C. N. (1995). On trunk reservation in loss networks. In Stochastic Networks (F. P. Kelly and R. J. Williams, eds.) 187-198. Springer, New York.
    • (1995) Stochastic Networks , pp. 187-198
    • Laws, C.N.1
  • 21
    • 0016533472 scopus 로고
    • Applying a new device in the optimization of exponential queueing systems
    • LIPPMAN, S. A. (1975). Applying a new device in the optimization of exponential queueing systems. Oper. Res. 23 686-710.
    • (1975) Oper. Res. , vol.23 , pp. 686-710
    • Lippman, S.A.1
  • 22
    • 0001340188 scopus 로고
    • Stability of Markovian processes III: Foster-Lyapunov criteria for continuous-time processes
    • MEYN, S. P. and TWEEDIE, R. L. (1993). Stability of Markovian processes III: Foster-Lyapunov criteria for continuous-time processes. Adv. in Appl. Probab. 25 518-548.
    • (1993) Adv. in Appl. Probab. , vol.25 , pp. 518-548
    • Meyn, S.P.1    Tweedie, R.L.2
  • 23
    • 0000696160 scopus 로고
    • A queueing reward system with several customer classes
    • MILLER, B. L. (1969). A queueing reward system with several customer classes. Management Science 16 234-245.
    • (1969) Management Science , vol.16 , pp. 234-245
    • Miller, B.L.1
  • 24
    • 0002487798 scopus 로고
    • State-dependent routing on symmetric loss networks with trunk reservations, II: Asymptotics, optimal design
    • MITRA, D. and GIBBENS, R. J. (1992). State-dependent routing on symmetric loss networks with trunk reservations, II: asymptotics, optimal design. Ann. Oper. Res. 35 3-30.
    • (1992) Ann. Oper. Res. , vol.35 , pp. 3-30
    • Mitra, D.1    Gibbens, R.J.2
  • 25
    • 0027547834 scopus 로고
    • State-dependent routing on symmetric loss networks with trunk reservations, I
    • MITRA, D., GIBBENS, R. J. and HUANG, B. D. (1993). State-dependent routing on symmetric loss networks with trunk reservations, I. IEEE Transactions on Communications 41 400-411.
    • (1993) IEEE Transactions on Communications , vol.41 , pp. 400-411
    • Mitra, D.1    Gibbens, R.J.2    Huang, B.D.3
  • 26
    • 84974040531 scopus 로고
    • On the optimality of trunk reservation in overflow processes
    • NGUYEN, V. (1991). On the optimality of trunk reservation in overflow processes. Probab. Engrg. Inform. Sci. 5 369-390.
    • (1991) Probab. Engrg. Inform. Sci. , vol.5 , pp. 369-390
    • Nguyen, V.1
  • 27
    • 0010667058 scopus 로고
    • Technical report, Statistical Laboratory, Univ. Cambridge and Dépt. de Mathématiques Appliquées, Ecole Polytechnique
    • NOTEBAERT, N. (1992). Asymptotical convergence of a trunk reservation policy. Technical report, Statistical Laboratory, Univ. Cambridge and Dépt. de Mathématiques Appliquées, Ecole Polytechnique.
    • (1992) Asymptotical Convergence of a Trunk Reservation Policy
    • Notebaert, N.1
  • 28
    • 0010748198 scopus 로고
    • Optimal trunk reservation for a critically loaded link
    • A. Jensen and V. B. Iversen, eds. North-Holland, Amsterdam
    • REIMAN, M. I. (1991). Optimal trunk reservation for a critically loaded link. In Proceedings of the 13th International Teletraffic Congress (A. Jensen and V. B. Iversen, eds.) 247-252. North-Holland, Amsterdam.
    • (1991) Proceedings of the 13th International Teletraffic Congress , pp. 247-252
    • Reiman, M.I.1
  • 31
    • 0024733008 scopus 로고
    • Optimal circuit access policies in an ISDN environment: A Markov decision approach
    • Ross, K. W. and TSANG, D. H. K. (1989). Optimal circuit access policies in an ISDN environment: a Markov decision approach. IEEE Transactions on Communications 37 934-939.
    • (1989) IEEE Transactions on Communications , vol.37 , pp. 934-939
    • Ross, K.W.1    Tsang, D.H.K.2
  • 32
    • 0022144982 scopus 로고
    • Blocking when service is required from several facilities simultaneously
    • WHITT, W. (1985). Blocking when service is required from several facilities simultaneously. AT&T Technical Journal 64 1807-1856.
    • (1985) AT&T Technical Journal , vol.64 , pp. 1807-1856
    • Whitt, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.