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Volumn 23, Issue 1-4, 1996, Pages 177-195

Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline

Author keywords

Diffusion approximation; Heavy traffic; Multiclass queueing network; Re entrant lines; Semi martingale reflecting Brownian motion

Indexed keywords

BROWNIAN MOVEMENT; DIFFUSION;

EID: 0040750211     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1007/BF01206556     Document Type: Article
Times cited : (18)

References (31)
  • 3
    • 21844491189 scopus 로고
    • Fluid approximations and stability of multiclass queueing networks: Work-conserving disciplines
    • H. Chen, Fluid approximations and stability of multiclass queueing networks: work-conserving disciplines, Annals of Applied Probability 5 (1995) 637-655.
    • (1995) Annals of Applied Probability , vol.5 , pp. 637-655
    • Chen, H.1
  • 4
    • 0000785917 scopus 로고
    • Stochastic discrete flow networks: Diffusion approximations and bottlenecks
    • H. Chen and A. Mandelbaum, Stochastic discrete flow networks: diffusion approximations and bottlenecks, Annals of Probability 19 (1991) 1463-1519.
    • (1991) Annals of Probability , vol.19 , pp. 1463-1519
    • Chen, H.1    Mandelbaum, A.2
  • 5
    • 0001736003 scopus 로고
    • Hierarchical modelling of stochastic networks, Part II: Strong approximations
    • ed. D.D. Yao Springer-Verlag
    • H. Chen and A. Mandelbaum, Hierarchical modelling of stochastic networks, Part II: Strong approximations, in: Stochastic Modeling and Analysis of Manufacturing Systems, ed. D.D. Yao (Springer-Verlag, 1994) pp. 107-131.
    • (1994) Stochastic Modeling and Analysis of Manufacturing Systems , pp. 107-131
    • Chen, H.1    Mandelbaum, A.2
  • 6
    • 84872989828 scopus 로고    scopus 로고
    • Diffusion approximations for multiclass FIFO queueing networks
    • submitted
    • H. Chen and H. Zhang, Diffusion approximations for multiclass FIFO queueing networks, Annals of Applied Probability (submitted).
    • Annals of Applied Probability
    • Chen, H.1    Zhang, H.2
  • 8
    • 0000683318 scopus 로고
    • A multiclass station with markovian feedback in heavy traffic
    • J. Dai and T.G. Kurtz, A multiclass station with Markovian feedback in heavy traffic, Mathematics of Operations Research 20 (1995) 721-742.
    • (1995) Mathematics of Operations Research , vol.20 , pp. 721-742
    • Dai, J.1    Kurtz, T.G.2
  • 9
    • 0002973242 scopus 로고
    • On the convergence of multiclass queueing networks in heavy traffic
    • J. Dai and V. Nguyen, On the convergence of multiclass queueing networks in heavy traffic, Annals of Applied Probability 4 (1994) 26-42.
    • (1994) Annals of Applied Probability , vol.4 , pp. 26-42
    • Dai, J.1    Nguyen, V.2
  • 10
    • 0003124563 scopus 로고
    • Nonexistence of Brownian models of certain multiclass queueing networks
    • J. Dai and Y. Wang, Nonexistence of Brownian models of certain multiclass queueing networks, Queueing Systems 13 (1993) 41-46.
    • (1993) Queueing Systems , vol.13 , pp. 41-46
    • Dai, J.1    Wang, Y.2
  • 11
    • 0030086281 scopus 로고    scopus 로고
    • Stability and instability of fluid models for certain re-entrant lines
    • J. Dai and G. Weiss, Stability and instability of fluid models for certain re-entrant lines, Mathematics of Operations Research 21 (1996) 115-134.
    • (1996) Mathematics of Operations Research , vol.21 , pp. 115-134
    • Dai, J.1    Weiss, G.2
  • 12
    • 84872996395 scopus 로고    scopus 로고
    • The QNET method for re-entrant queueing networks with priority disciplines
    • to appear
    • J. Dai, D.H. Yeh and C. Zhou, The QNET method for re-entrant queueing networks with priority disciplines, Operations Research (to appear).
    • Operations Research
    • Dai, J.1    Yeh, D.H.2    Zhou, C.3
  • 15
    • 21144478130 scopus 로고
    • Brownian models of multiclass queueing networks: Current status and open problems
    • J.M. Harrison and V. Nguyen, Brownian models of multiclass queueing networks: current status and open problems, Queueing Systems 13 (1993) 5-40.
    • (1993) Queueing Systems , vol.13 , pp. 5-40
    • Harrison, J.M.1    Nguyen, V.2
  • 16
    • 0000585232 scopus 로고
    • Reflected Brownian motion on an orthant
    • J.M. Harrison and M.I. Reiman, Reflected Brownian motion on an orthant, Annals of Probability 9 (1981) 302-308.
    • (1981) Annals of Probability , vol.9 , pp. 302-308
    • Harrison, J.M.1    Reiman, M.I.2
  • 17
    • 0030546578 scopus 로고    scopus 로고
    • A multiclass closed queueing network with unconventional heavy traffic behavior
    • J.M. Harrison and R.J. Williams, A multiclass closed queueing network with unconventional heavy traffic behavior, Annals of Applied Probability 6 (1996) 1-47.
    • (1996) Annals of Applied Probability , vol.6 , pp. 1-47
    • Harrison, J.M.1    Williams, R.J.2
  • 19
    • 21144477219 scopus 로고
    • Re-entrant lines
    • P.R. Kumar, Re-entrant lines, Queueing Systems 13 (1993) 87-110.
    • (1993) Queueing Systems , vol.13 , pp. 87-110
    • Kumar, P.R.1
  • 22
    • 0002816593 scopus 로고
    • A heavy traffic limit theorem for networks of queues with multiple customer types
    • W.P. Peterson, A heavy traffic limit theorem for networks of queues with multiple customer types, Mathematics of Operations Research 16 (1991) 90-118.
    • (1991) Mathematics of Operations Research , vol.16 , pp. 90-118
    • Peterson, W.P.1
  • 23
    • 0000870284 scopus 로고
    • On the invariance principle for the first passage time
    • A. Puhalskii, On the invariance principle for the first passage time, Mathematics of Operations Research 19 (1994) 946-954.
    • (1994) Mathematics of Operations Research , vol.19 , pp. 946-954
    • Puhalskii, A.1
  • 24
  • 25
    • 0000279589 scopus 로고
    • A multiclass feedback queue in heavy traffic
    • M.I. Reiman, A multiclass feedback queue in heavy traffic, Advances in Applied Probability 20 (1988) 179-207.
    • (1988) Advances in Applied Probability , vol.20 , pp. 179-207
    • Reiman, M.I.1
  • 28
    • 21144473462 scopus 로고
    • Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant
    • L.M. Taylor and R.J. Williams, Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant, Probability Theory and Related Fields 96 (1993) 283-317.
    • (1993) Probability Theory and Related Fields , vol.96 , pp. 283-317
    • Taylor, L.M.1    Williams, R.J.2
  • 29
    • 0018977055 scopus 로고
    • Some useful functions for functional limit theorems
    • W. Whitt, Some useful functions for functional limit theorems, Mathematics of Operations Research 5 (1980) 67-85.
    • (1980) Mathematics of Operations Research , vol.5 , pp. 67-85
    • Whitt, W.1
  • 31
    • 0009656295 scopus 로고
    • Least controls for a class of constrained linear stochastic systems
    • P. Yang, Least controls for a class of constrained linear stochastic systems, Mathematics of Operations Research 18 (1993) 275-291.
    • (1993) Mathematics of Operations Research , vol.18 , pp. 275-291
    • Yang, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.