메뉴 건너뛰기




Volumn 26, Issue 3, 2001, Pages 447-484

The reflection map with discontinuities

Author keywords

Continuous mapping theorem; Functional limit theorems; Heavy traffic limit theorems; Invariance principles; L vy processes; Queueing networks; Reflection map; Skorohod M1 topology; Skorohod topologies; Stochastic fluid networks; The function space D; Weak convergence

Indexed keywords

BROWNIAN MOVEMENT; CONFORMAL MAPPING; RANDOM PROCESSES; THEOREM PROVING; VECTORS;

EID: 0035435188     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.26.3.447.10588     Document Type: Article
Times cited : (13)

References (48)
  • 6
    • 0000785917 scopus 로고
    • Discrete flow networks: Diffusion approximations and bottlenecks
    • (1991) Ann. Probab. , vol.19 , pp. 1463-1519
  • 8
    • 21144476233 scopus 로고
    • Diffusion approximations for open queueing networks with service interruptions
    • (1993) Queueing Sys. , vol.13 , pp. 335-359
    • Whitt, W.1
  • 12
    • 0001985427 scopus 로고
    • On when the solution to the Skorohod problem is Lipschitz continuous with applications
    • (1991) Stochastics , vol.35 , pp. 31-62
    • Dupuis, P.1    Ishii, H.2
  • 19
    • 0000221206 scopus 로고
    • Multiple channel queues in heavy traffic - II
    • (1970) Adv. Appl. Probab. , vol.2 , pp. 355-369
  • 22
    • 0030540259 scopus 로고    scopus 로고
    • Stability and nonproduct form of stochastic fluid networks with Lévy inputs
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 186-199
  • 25
    • 0030359839 scopus 로고    scopus 로고
    • Stability and structural properties of stochastic storage networks
    • (1996) J. Appl. Probab. , vol.33 , pp. 1169-1180
  • 28
    • 0032382395 scopus 로고    scopus 로고
    • Macroscopic models for long-range dependent network traffic
    • (1998) Queueing Sys. , vol.28 , pp. 215-243
  • 30
    • 0001407755 scopus 로고
    • Weak convergence of probability measures and random functions in the function space D[0, ∞)
    • (1973) J. Appl. Probab. , vol.10 , pp. 109-121
    • Lindvall, T.1
  • 36
    • 0032346834 scopus 로고    scopus 로고
    • Functional large deviation principles for waiting and departure processes
    • (1998) Probab. Engrg. Info. Sci. , vol.12 , pp. 479-507
  • 40
    • 0001379748 scopus 로고
    • Stochastic differential equations for a bounded region
    • (1961) Theory Probab. Appl. , vol.6 , pp. 264-274
  • 41
    • 84972526612 scopus 로고
    • Stochastic differential equations with reflecting boundary conditions in convex regions
    • (1979) Hiroshima Math. J. , vol.9 , pp. 163-177
    • Tanaka, H.1
  • 43
    • 0018977055 scopus 로고
    • Some useful functions for functional limit theorems
    • (1980) Math. Oper. Res. , vol.5 , pp. 67-85
  • 45
    • 0034339403 scopus 로고    scopus 로고
    • An overview of Brownian and non-Brownian FCLTs for the single server queue
    • (2000) Queueing Sys. , vol.36 , pp. 39-70


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.