|
ABSTRACT
Models of large and complex systems can often be reduced to smaller sub-models, for easier analysis, by a process known as decomposition. Certain criteria for successful decompositions can be established.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
Albin, P.S., and Gottinger, H.W. Structure and complexity in economic and social systems. Math. Sot. Sci. 5 (1963), 253-268.
|
| |
2
|
Alexander, C.W.J. Notes on the synthesis of form. Harvard Univ. Press, Cambridge, Mass., 1964.
|
 |
3
|
Forest Baskett , K. Mani Chandy , Richard R. Muntz , Fernando G. Palacios, Open, Closed, and Mixed Networks of Queues with Different Classes of Customers, Journal of the ACM (JACM), v.22 n.2, p.248-260, April 1975
[doi> 10.1145/321879.321887]
|
| |
4
|
Bodewig. E. Matrix Calculus. North-Holland Publishing Company, Amsterdam, The Netherlands, 1956.
|
| |
5
|
Chandy. K.M. Approximate analysis of general queueing networks. IBM\. of Res. Dev. 19. 1 (Jan, 1975), 1, 43-49.
|
| |
6
|
Chandy. K.M., Herzog, U., and Woo, L. Parametric analysis of queueing networks. JBMJ Res. Dev. 19, 1 (Jan. 19751, 1, 36-42.
|
 |
7
|
|
| |
8
|
Courtois, P.J. Decomposability, Queue& and Computer Applications. Academic Press, New York, 1977.
|
| |
9
|
Courtois, P.J. Error Minimization in Decomposable Stochastic Systems. Vol. 1, Applied Probability-Computer Science: The Interface. Birkhauser, Boston, Cambridge, Mass., 1982, pp. 189-210.
|
| |
10
|
Courtois. P.J., and Semal, P. Block decomposition and iteration in stochastic matrices. Philips \. Res. 39, 4-5 (Nov. 1964), 178-194.
|
 |
11
|
|
| |
12
|
Courtois, P.J., and Semal. P. On polyhedra of perron-frobenius eigenvectors. Linear Algebra Appl. 65 (Feb. 1985). 157-170.
|
| |
13
|
Deneubourg, J.L. Application de l'ordre par fluctuation a la description de certaines &apes de la construction du nid cbez les termites. Insectes Sociaux. J Inf. pour I'etude des arfhropodes sociauw 24, 2 (1977), 117-130.
|
| |
14
|
Denning, P.J. Thrashing: Its causes and prevention. In Proceedings of fhe AFIPS Fall Joint Cornpurer Conference (San Francisco, Calif., Dec. 9-11). AFIPS Press, Arlington, Va., 1968. pp. 915-922.
|
 |
15
|
|
| |
16
|
Gras% P.P. La reconstruction du nid et le travail collectif chez les termites superieurs. J. Psychol. P&ho/. Gen. (1959), 370-396.
|
| |
17
|
Kemeny, J.G., and Snell. J.L. Finite Markov Chains. Van Nostrand Reinhold Company, New York, 1960.
|
| |
18
|
Kleinrock, L.. and Lam, S. Packet switching in a multiaccess broadcast channel performance evaluation. IEEE Trans. Commun. 23, 4 (Apr. 1975), 410-423.
|
| |
19
|
Kuehn, P.J. Approximate analysis of general queueing networks by decomposition. IEEE Trans. Commun. 27, 1 (Jan. 1979). 113-126.
|
 |
20
|
|
| |
21
|
Phillips. R.G., and Kokotovic, P.V. A singular perturbation approach to modeling and control of Markov chains. IEEE Trans. AuL Cont. AC-26,5 (Oct. 1981). 1087-1094.
|
| |
22
|
Prigogine, I., and Stengers. I. La Nouvelle Alliance. Gallimard, Paris, 1983.
|
| |
23
|
|
| |
24
|
|
| |
25
|
Simon, H.A., and Ando, A. Aggregation of variables in dynamic systems. Economefrica 29 (1961), 111-138.
|
| |
26
|
|
 |
27
|
|
| |
28
|
Theil, H. Linear aggregation in input-output analysis. Economefrica. 25 (1957), 111-122.
|
| |
29
|
|
 |
30
|
|
| |
31
|
Vantilborgh, H. The error of aggregation. A contribution to the theory of decomposable systems and applications. Doctoral thesis, Univ. Cath. Louvain. 1981.
|
| |
32
|
Wilson, K.G. Problems in physics with many scales of length. Sci. Am. 241, 2 (Aug. 1979). 140-157.
|
| |
33
|
Wilson, K.G. Renormalization group methods. Adv. Math. 16 (1975). 170-166.
|
CITED BY 14
|
|
|
|
|
Paul K. Davis , Richard Hillestad, Families of models that cross levels of resolution: issues for design, calibration and management, Proceedings of the 25th conference on Winter simulation, p.1003-1012, December 12-15, 1993, Los Angeles, California, United States
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
REVIEW
"Frank S Drechsler : Reviewer"
Models of systems are always an extraction and extrapolation of something larger
and more complex. But even these models, which are often too big and still too
complex, need to be reduced to smaller subsystems. Courtois puts forward certain
crit
more...
|