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Abstract: Consider a job-shop or batch-flow manufacturing system in which new jobs are introduced only as old ones depart, either because of physical constraints or as a matter of management policy. Assuming that there is never a shortage of new work to be done, the number of active jobs remains constant over time, and the system can be modeled as a kind of closed queueing network. With manufacturing applications in mind, we formulate a general closed network model and develop a mathematical method to... (Update)
Context of citations to this paper: More
.... simplex fx 2 IR d : x 1 : x d = 1g; see Harrison, Williams and Chen [24] Chen and Mandelbaum [9] Dai and Harrison [12]. Such an 6 ae ae ae ae ae ae ae ae= h h h h h h h h h h h h h h hhhhhhhhhhh Phi Phi Phi Phi Phi Phi Phi Phi Phi Phi Phi Phi...
...k is served, i.e. the limiting mean service times are station dependent, not classdependent quantities. In addition, it is known [DH93, Wi97b] that R is well defined and completely S for these networks. Combining the above results yields new heavy traffic limit theorems for...
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Control Problems in Telecommunications: The Heavy Traffic Approach - Kushner (2000) (Correct)
Reflecting Diffusions and Queueing Networks - Williams (1998) (Correct)
Existence and Uniqueness of Semimartingale Reflecting Brownian .. - Dai, Williams (1994) (Correct)
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0.7: The Finite Element Method for Computing the Stationary.. - Shen, Chen, Dai (2002) (Correct)
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3: Brownian Models of Queueing Networks with Heterogeneous Customer Populations (context) - Harrison - 1988
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2: Dynamic routing in open queueing networks: Brownian models (context) - Kelly, Laws - 1993
BibTeX entry: (Update)
Dai, J. G. and Harrison, J. M. The QNET method for two-moment analysis of closed manufacturing systems.. Annals of Applied Probability 3, 968--1012 (1993). http://citeseer.ist.psu.edu/dai93qnet.html More
@misc{ dai93qnet,
author = "J. Dai and J. Harrison",
title = "The QNET method for two-moment analysis of closed manufacturing systems",
text = "Dai, J. G. and Harrison, J. M. The QNET method for two-moment analysis
of closed manufacturing systems.. Annals of Applied Probability 3, 968--1012
(1993).",
year = "1993",
url = "citeseer.ist.psu.edu/dai93qnet.html" }
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61 Quantitative System Performance (context) - Lazowska, Zahorjan et al. - 1984
54 Jobshop-like queueing systems (context) - Jackson - 1963
49 closed and mixed networks of queues with different classes o.. (context) - Baskett, Chandy et al. - 1975
49 Scheduling networks of queues: heavy traffic analysis of a t.. (context) - Harrison, Wein - 1990
49 Scheduling networks of queues: heavy traffic analysis of a m.. (context) - Chevalier, Wein
44 Networks of waiting lines (context) - Jackson - 1957
40 Existence and uniqueness of semimartingale reflecting Browni.. - Dai, Williams
40 Existence and uniqueness of semimartingale reflecting Browni.. - Taylor, Williams
38 Brownian models of multiclass queueing networks: Current sta.. (context) - Harrison, Nguyen
33 Brownian models of open queueing networks with homogeneous c.. (context) - Harrison, Williams - 1987
28 Computer Systems Performance Modeling (context) - Sauer, Chandy - 1981
28 The QNET method for two-moment analysis of open queueing net.. (context) - Harrison, Nguyen - 1990
26 Nonexistence of Brownian models of certain multiclass queuei.. - Dai, Wang
14 Steady-state analysis of RBM in a rectangle: numerical metho.. - Dai, Harrison - 1991
13 Reflected Brownian motion in an orthant: numerical methods f.. - Dai, Harrison - 1992
12 Large fluctuations in a deterministic multiclass network of .. (context) - Whitt
11 Stochastic discrete flow networks: Diffusion approximation a.. (context) - Chen, Mandelbaum - 1991
10 The dynamic complementarity problem (context) - Mandelbaum
9 Multidimensional reflected Brownian motions having exponenti.. (context) - Harrison, Williams - 1987
8 Brownian models of closed queueing networks with homogeneous.. (context) - Harrison, Williams et al. - 1990
7 Brownian models of feedforward queueing networks: Quasirever.. - Harrison, Williams - 1992
7 Asymptotically exact decomposition approximations for queuei.. (context) - Reiman - 1990
6 Characterization of the stationary distribution for a semima.. (context) - Dai, Kurtz
5 The stationary distribution of reflected Brownian motion in .. (context) - Harrison, Landau et al. - 1985
4 A mathematical model of computerized manufacturing systems (context) - Solberg - 1977
4 Closed queueing networks with exponential servers (context) - Gordon, Newell - 1967
3 Numerical Prediction and Dynamical Meteorology (context) - Haltiner, Williams - 1980
3 Capacity planning with a stochastic workflow model (context) - Solberg - 1981
3 Systems Modeling Corporation (context) - Pegden - 1989
2 volume 1 of The Texas Finite Element Series (context) - Becker, Carey et al. - 1981
1 Brownian Models of Open Queueing Networks with General Stati.. (context) - Pich - 1991
1 Empirical validation of a queueing network model for semicon.. (context) - Chen, Harrison et al. - 1988
Documents on the same site (http://www.isye.gatech.edu/faculty/dai/reprints/): More
Simulation Studies of Multiclass Queueing Networks - Banks, Dai (1996) (Correct)
Nonexistence of Brownian Models for Certain Multiclass Queueing.. - Dai, Wang (1993) (Correct)
A Fluid-Limit Model Criterion for Instability of Multiclass.. - Dai (1996) (Correct)
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