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I ISSN: 0898-1221
|
COMPUTERS AND MATHEMATICS WITH
APPLICATIONS
E d i t o r - i n - C h i e f : E r v i n Y . R o d i n
List of Contents and Au tho r Index
Volume 24, 1992
p.:=C~D, NG TO: E-MA,L ~, - - _,¢=. ~ IE-I~-~IL DATE: JULY 30 2002
Z ~
' - 1 : : . ,,.r" .... L V ~ ' | ARCHIVING DEPARTMENT I
~ pergamon press o x f o r d • n e w y o r k • s e o u l • t o k y o
An International Journal
u,., , , . # u t e r s G m a t h e m a t i c s WITH APPLICATIONS
Editor-in -Chief: Ervin Y. Rodin
Editorial Assistant: Florence A. Schick
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I I I
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List of Contents
NUMBER 1/2
A D V A N C E S I N A P P L I E D S T O C H A S T I C M O D E L S I N J A P A N
S. Osakl vii Preface
G. Yamazakl, K, Sigman and M. Miyazawa
1 Moments in infmite channel queues
H. Toyoizumi 7 Evaluating mean sojourn ~me estimates for the M/M/I queue
M. Kijhna 17 The transient solution to a class of Markovian queues
T. Katayama 25 Performance analysis and optimization of a cyclic-service tandem queueing system with multi-class customers
T. Kimura 35 Duality between the M/GIs/s and Gl/M/1/s/s queues
S. Nlshimura and Y. Jiang 41 Queueing models of concurrency control in database with Poisson arrivals
K. Yasui, T. Nakagawa and S. Koike
51 Reliability consideration on error control policies for a data communication system
H. Sandoh, H. Kawai and T. Ibaraki
57 An optimal backup policy for a hard computer disk depending on age under availability criterion
S. Fukumoto, N. Kalo and S. Osaki
63 A study of checkpoint generations for a database recovery mechanism
M. Kimura, S. Yamada and S. Osaki
71 Software reliability assessment for an exponential-S-shaped reliability growth phenomenon
S. Yamada, H. Ohtera and M. Ohba
79 Testing-domain dependent software reliability models
K. Ito and T. Nakagawa 87 Optimal inspection policies for a system in storage
Y. Segawa, M. Ohnishi and T. Ibaraki
91 Optimal minimal-repair and replacement problem with age dependent cost structure
H. Kawai and J. Koyanagi 103 An optimal maintenance policy of a discrete time Markovian deterioration system
K. Nakashima, H. Matznaga, Y. Ueda and K. Yamato
109 Optimal design of redundant systems for improving fail-safe characteristics
Y. Sugasawa, Q. Jln and K. Seya
119 Extended Stochastic Petri Net models for systems with parallel and cooperative motions
° . °
ILl
T. Dohi and S. Osald
IL Tmmim, T. Dohi, H. Fujiwara, S. Osald and N. Kaio
K. Sawakl
M. Ohnishi
K. Ano
127 Optimal Irading of stock options under alternative strategy
135 Construction of a decision-support system for a combination of options
141 Optimal exercise policies for call options and their valuation
147 Policy iteration and Newton-Raphson methods for Markov decision processes under average cost criterion
157 A secretary l~blem with restricted offering chances and random number of applicants
E. Y. Rodin
(~. K. Ko~ and C.-Y. Hung
R. B. King and E. R. Canfield
J. N. Hanson
V. S. VaradaraJan
D. Greenapan
Y. Zhang and M. E. Oriowska
V. Pan
P. Glaister
E. Y. Rodin and S. M. Amin
H.E. Salzer
N U M B E R 3
1 Speed of pubfication---An editorial
3 Adaptive m-ary segmentation and canonical recoding algorithms for multiplication of large binary numbers
13 lcosahedral symmetry and the quintic equation
29 The computer generated symbolic approximations to systems of nonlinear ODE's by matrix annihilation and the Newton- Kantorovich method
37 Symmetry in mathematics
45 A particle model of ground state H 2
49 The effect of unary inclusion dependencies of relational _da!abase design
61 Parametrization of Newton's iteration for computations with structured matrices and applications
77 An efficient Riemann solver for unsteady flows with non-ideal gases
95 Maneuver prediction in air combat via artificial neural networks
113 Erratum to '~onfluent Prony approximation"
E. Y. Rodin
M. G. E1 Sheikh
V. RuqRiero and G,mp,m
N U M B E R 4
1 Speed of publicafion~An editorial
3 The integral equation formulation of mixed fmite time-dependent elastic problems
15 A parallel algorithm for solving block tridiagmml linear systems
iv
Y. Pan and H. Y. H. Chuang
M. K. EI-Daou, S. Nanmsivayam and E. L. Ortiz
P. Glaister
L Stojmenovic
D. A. Murio
O. ~ i o ~ l u and (~. K. Ko~
Y. Yavin, C. Frangos and J. P. Fourie
S. IGm and R. P. Tewarson
A. Korzeniowski
S. AI-Bassmn, R. Venkatesan and B. Bose
23 Singular value decomposition on SIMD hypercube and shuffle- exchange computers
33 Differential equations with piecewise approximate coefficients: Discrete and continuous estimation for initial and boundary value problems
49 A finite difference scheme for steady, supersonic, two- dimensional, compressible flow of real gases
61 A simple systolic algorithm for generating combinations in lexicographic order
65 Numerical identification of interface source functions in heat transfer problems under nonlinear boundary conditions
77 Parallel prefix computation with few processors
85 The performance of a projectile which uses a bang-bang type guidance law: Part 2---A semirigid body model
93 A quasi-Newton method for solving nonlinear algebraic equations
99 Quantum mechanical simulation of the hydrogen molecule
103 Codes for detecting and conecting propagation errors
NUMBER 516
ADVANCES IN PARTIAL DIFFERENTIAL EQUATIONS, VOL. II
G. A. Sod 1 A numerical model of a thermal boundary layer
G. Adomian and R. Rach 11 Generalization of Adomian polynomials to functions of several variables
T. A. Edwards 25 Fluid/chemistry modeling for hypersonic flight analysis
W. Cai, D. Gottlieb and A. Harten
37 Cell averaging Chebyshev methods for hyperbolic problems
C, W. Mastin 51 Linear variational methods and adaptive grids
P. R. Eiseman 57 Control point grid generation
J. Sanmreh-Abolhassani and R. E. Smith
69 A practical approach to algebraic grid adaption
J.-S. Jwo, S. Lakshmivarahan, S. K. Dhall and J. M. Lewis
83 Comparison of performance of three parallel versions of the block cyclic reduction algorithm for solving linear elliptic partial differential equations
T. J. Baker
N. P. Weatherili
R. S. Bernard
E. J. Kansa
B. IL Soni
E. Y. Rodin
J. C. Misra, G. C. Beta, S. C. Mlsra and S. Smnanta
V. Pan and R. Schreiber
W. P. Noronha, E. L. Wachspress and A. J. Baker
D. A. Murio
S. Olariu
P. Glaister
Y.-S. Chen and P. Chong
E. S. Lee and Q. Zhu
S. G. From and H. A. Farhat
R. Nowicki, R. Slowifski and J. Stefanowskl
W. Kaplan and F. B. Sleator
L. R~ndez
J. F~ Castllim G. McDermott, M. McEachern and J. Richardson
103 Mesh 8eneration for the computation of flowfields over complex aerodynamic shines
129 Delmmay iriangulation in computatioual fluid dynamics
151 A MacCormack scheme for incompressible flow
169 A strictly conservative spatial approximation scheme for some governing engineering and physics equations over irregular regions and inhomogeneously scattered nodes
TECHNICAL NOTE
191 Grid generation for internal flow configurations
N U M B E R 7
Speed of publication---An editorial
Remodelling of diaphysial surfaces of a long bone induced due to force-fitting of a medullary pin: An analytical study
17 A fast, preconditioned conjugate gradient Toeplitz solver
25 Consistent sparse factorizafion
45 Solution of inverse heat conduction problems with phase changes by the mollification method
59 The morphology of convex polygons
69 Prediction of supercritical flow in open channels
77 Mathematical modeling of empirical laws in computer applications: A case study
89 An interval Dempster-Shafer approach
97 Confidence intervals for expected coverage from a beta testability model
109 Rough sets analysis of diagnostic capacity of vibroacoustic symptoms
125 Procedures for multiple integration
12l Improving the efficiency of the multiple shooting technique
133 A comparative analysis of numerical techniques appfied to a model of the otolith membrane
vi
S Y S T E M - T H E O R E T I C
S. Mittnik ix
W. Schneider 1
P. A. Braun
S. Mittnik
G. Gandoffo
P. C. Padoan
P. A. Papakyrlazis
G. L. G6mez M.
E. Panek
J. B. Krawczyk
L. Ermini
D. B. Petkovski
C. Le Van
A. Nairay
G. Uebe
S. L Kamiyama and Y. Murata
M. Schi fer
R. Amir and A. Hadim
S. T. Rachev, B. Dimitrov and Z. Khafii
G. Anastassiou and S. T. Rachev
N U M B E R 8/9
M E T H O D S IN E C O N O M I C M O D E L L I N G m
Preface
System of seemingly unrelated regression equations with time varying coefficients--an interplay of Kaiman f'fltering, scoring, EM- and MINQUE-method
17 State dependent models of stock relmns
31 Forecasting international growth rates with leading indicators-- A system-theoretic approach
43 Sensitivity analysis in continuous time econometric models
57 Nonlinear simulation analysis in continuous time econometric models
67 Optimal estimation policies and control of stochastic linear systems with random time-varying parameters
77 Intertemporal issues associated with the control of macro- economic systems
99 Optimal trajectories in a multisectoral model of economic growth
111 The properties of repetitive control of partially observed processes
125 Some unresolved issues in the application of control theory to economic policy-making
137 A knowledge-based system for robustness analysis of large- scale economic systems
149 Lagging and unlagging theorems: A quasi-equivalence
157 Dynamic portfolio choice under asset price lognormality
167 The model of Lang--National income accounts in 1807
181 The discrete-time model of Bagchi's regional investment allocation problem
195 Resource exlraction and production of a substitute
209 Some structured dynamic programs arising in economics
219 A probabilistic approach to optimal quality usage
229 Moment problems and their application to the stability of queueing models
vii
J. A. Mills
J. T. Sengupta
E. T. Jaynes
A. Zeliner
C. A. Los
P. A. Zadronzny
247 Making inflexible investment decisions with incomplete information
259 A fuzzy systems approach in data envelopment analysis
267 Conunentary on two articles by C. A. Los
275 A brief comment on C. A. Los' papers
277 A reply to E. J. Jaynes' and A. Zellnex's comments on my two articles
289 Errrata to "Analytic derivatives for estimation of linear dynamic models"
E. Y. Rodin
B. Mukhopadhyay and R. K. Bera
A~ Narayanan
J. C. Misra, M. K. Patra and B. K. Sahu
D. Amitai, A. Averbuch, S. Itzikowltz and M. Israeli
M. Van Daele, G. Vanden Berghe and H. De Meyer
P. Glaister
B. Beckermann and J. Wimp
P. Favati, G. Lotti and F. Romani
J. Carroll
1
3
11
19
33
55
77
89
N U M B E R 10
Speed of publication--An editorial
Effect of temperature on the edge crack in orthottopic elastic half-plane
A note on parameter estimation in the multivariate beta distribution
Unsteady flow of blood through narrow blood vessels--A mathematical analysis
Parallel adaptive and time-stabilizing schemes for constant- coefficient parabolic PDE's
Five-diagnoal finite difference methods based on mixed-type interpolation for a certain fonrth-order two-point boundary- value problem
Similarity solutions for multi-component flows
Some dynamically trivial mappings with applications to the improvement of simple iteration
99 Asymptotic expansion of error in interpolatory quadrature
105 Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems
117 Book Reports
E. Y. Rodin
E. Kuttner, W. Havens and N. Cercone
N U M B E R 11
1 Speed of publication---An editorial
3 Processing natural language with schema constraint networks
viii
D. Greenspan
Z. W. Trzaska
T.-F. Chen
P. Glaister
G. Adomian and R. Rach
L.-X. Zhu
H.-T. Liaw and C.-L. Lei
G. T. Leavens and M. Vermeulen
P. G6ra and A. Boyarsky
11 Studies in rapid kinetic reactions by quasi-quantum mechanical, conservative methodology
17 The algorithm for computing nonmonic second order multivariable systems
29 Semidiscrete least squares methods for linear convection- diffusion problem
45 Real gas flows in a duct
61 Noise terms in decomposition solution series
65 A note on the consistent estimator of nonparametric regression constructed by splines
71 An efficient hierarchy scheme for determining relationships in information systems
79 3x + 1 search programs
E. J. Kansa
R. L. Hardy
B. J. C. Baxter
R. K. Beatson and G. N. Newsam
101 Modelfing and simulating higher dimensional chaotic data
NUMBER 12
ADVANCES IN THE THEORY AND APPLICATIONS OF R A D I A L B A S I S F U N C T I O N S
vii Preface
ix Biographical sketch of Rolland L. Hardy
xi Comments on the discovery and evolution of the multiquadric method
1 The asymptotic cardinal function of the multiquadric ~ r ) = ( r 2 + c2) v2 as c ~ oo
7 Fast evaluation of radial basis functions: I
M. D. Buhmann and C. A. Micchelli
R, E. Carlson and T. A. Foley
C. K. Chui, J. D. Ward and K. Jetter
T.A. Foky
F. Girosi
R. L. Hardy
21 Multiquadric interpolation improved
27 Interpolation of track data with radial basis methods
35 Cardinal interpolation with differences of tempered functions
49 The map and blend scattered data interpolant on a sphere
61 Some extensions of radial basis functions and their applications in artificial intelligence
81 A contribution of the multiquadric method: Interpolation of potential inside the earth
ix
E. J. Kamm and R. E. Cm-lson
W. R. Madych
D. E. Myers
C. Rabut
K. ~alkauskas
H. C. Saunderson
X. Sun
Y. Xu and E. W. Cheney
99 Im4zroved accuracy of mulfiquadric interpolation using variable shape paran~ters
121 Miscellaneous error bounds for multiquadric and related intetpolato~
139 Kriging, cokriging, radial basis functions and the role of positive definiteness
149 An introduction to Schoenberg's apwoximation
177 Moving least squares interpolation with thin-plate splines and l"aOial basis functions
187 Multiquadric interpolation of fluid speeds in a natural river channel
195 Cardinal and scattered-cardinal interpolation by functions having non-compact support
201 Interpolation by periodic radial functions
Adomian, G. 24(5/6),11, (11),61
Al-nassam, S. 24(4),103 Amin, SaM. 24(3),95 Andr, R. 24(8/9),209 Andtai, D. 24(10),33 Anastassiou, G. 24(8/9),229 Ano, K. 24(1/2),157 Averbuch, A. 24(10),33
Baker, AJ. 24(7),25 Baker, T.J. 24(5/6),103 Baxter, BJ.C. 24(12),I Beatson, R.K. 24(12),7 Beckermann, B. 24(I0),89 Bera, G.C. 24(7),3 Bera, R.K. 24(10),3 Bernard, R.S. 24(5/6),151 Bose, B. 24(4),103 Boyarsky, A. 24(11),101 Braun, P.A. 24(8/9),17 Buhmann, M.D. 24(12),21
Cai, W. 24(5/6),37 Canfield, E.R. 24(3),13 Carlson, R.E. 24(12),27,99 Carroll, J. 24(10),105 Castiilo, J.E. 24(7), 133 Cercone, N. 24(11),3 Chert, T.-F. 24(11),29 Chen, Y.-S. 24(7),77 Cheney, E.W. 24(12),201 Chong, P. 24(7),77 Chnang, H.Y.H. 24(4),23 Chui, C.K. 24(12),35
De Meyer, H. 24(10),55 Dhall, S.K. 24(5/6),83 Dimitrov, B. 24(8/9),219 Dohi, T. 24(1/2), 127,135
Edwards, T.A. 24(5/6),25 E~ecio~iu, O. 24(4),77 Eiseman, P.R. 24(5/6),57 EI-Daou, M.K. 24(4),33 El Sheikh, M.G. 24(4),3 Ermini, L. 24(8/9),125
Farhat, H.A. 24(7),97 Favati, P. 24(10),99 Foley, T.A. 24(12),27,49 Fourie, J.P. 24(4),85 Frangos, C. 24(4),85
Author Index
From, S.G. 24(7),97 Fujlwara, H. 24(1/2),135 Fukumoto, S. 24(1/2),63
Galligant, E./4(4),15 Gandoifeb G. 24(8D),43 Girosi, F. 24(12),61 Giaister, P. 24(3),77,(4),49, (7),69,(10),77,(11),45
G6mez M, G.L. 24(8/9),77 G6ra, P. 24(11),101 Gottiieb, D. 24(5/6),37 Greenspan, D. 24(3),45, (11),11
Hadim, A. 24(8/9),209 Hanson, J.N. 24(3),29 Hardy, R.L. 24(12),xi,81 Harten, A. 24(5/6),37 Havens, W. 24(11),3 Hung, C.-Y. 24(3),3
Ibaraki, T. 24(1/2),57,91 Israeli, M. 24(10),33 Ito, K. 24(1/2),87 Itzikowitz, S. 24(10),33
Jaynes, E.T. 24(8/9),267 Jetter, K. 24(12),35 Jiang, Y. 24(1/2),41 Jin, Q. 24(1/2),119 Jwo, J.-S. 24(5/6),83
Kaio, N. 24(I/2),63,135 Kamiyama, S.I. 24(8/9),181 Kansa, EJ . 24(5/6),169, (12),vii,99
Kaplan, W. 24(7),125 Katayama, T. 24(1/2),25 Kawai, H. 24(1/2),57,103 Khalil, Z. 24(8/9),219 Kijinm, M. 24(1/2),17 Kim, S. 24(4),93 Kimura, M. 24(1/2),71 Kimura, T. 24(1/2),35 King, R.B. 24(3),13 Ko~, ~.K. 24(3),3,(4),77 Koike, S. 24(1/2),51 Korzeniowski, A. 24(4),99 Koyanagi, J. 24(1/2),103 Krawczyk, J.B. 24(8/9), 111 Kuttner, E. 24(11),3
xi
Lakshmivarahan, S. 24(5/6),83
Le Van, C. 24(8/9),149 Leavens, G.T. 24(11),79 Lee, E.S. 24(7),89 Lei, C.-L. 24(11),71 Lewis, J.M. 24(5/6),83 Liaw, H.-T. 7,4(11),71 Los, C.A. 24(8/9),277 Lotti, G. 24(10),99
Madych, W.R. 24(12),121 Mastin, C.W. 24(5/6),51 Matznaga, H. 24(1/2),109 McDermott, G. 24(7),133 McEachent, M. 24(7),133 Micchelli, C.A. 24(12),21 Mills, J.A. 24(8/9),247 Misra, J.C. 24(7),3,(10),19 Misra, S.C. 24(7),3 Mittnik, S. 24(8/9),ix,31 Miyazawa, M. 24(1/2), 1 Mukhopadhyay, B. 24(10),3 Murata, Y. 24(8/9),181 Murio, D.A. 24(4),65,(7),45 Myers, D.E. 24(12), 139
Nairay, A. 24(8/9),157 Nakagawa, T. 24(1/2),51,87 Nakashlma, K. 24(1/2), 109 Namasivayam, S. 24(4),33 Narayanan, A. 24(10),11 Newsam, G.N. 24(12),7 Nishimura, S. 24(1/2),41 Noronha, W.P. 24(7),25 Nowicki, R. 24(7),109
Ohba, M. 24(1/2),79 Ohnishi, M. 24(1/2),91,147 Ohtera, H. 24(1/2),79 Olariu, S. 24(7),59 Oriowska, M.E. 24(3),49 Ortiz, E.L. 24(4),33 Osaki, S. 24(1/2)vii,63,71,
127,135
Padoan, P.C. 24(8/9),57 Pan, V. 24(3),61,(7),17 Pan, Y. 24(4),23 Panek, E. 24(8/9),99 Papakyriazis, P.A. 24(8/9),67
Patra, M.K. 24(10),19
Petkovski, DJB. 24(8/9),137
Rabut, C. 24(12),149 Rach, R. 24(5/6),11,(11),61 Rachev, S.T. 24(8/9),219,229
Rindez, L. 24(7),127 Richardson, J. 24(7),133 Rodin, E.R. 24(3),95 Romani, F. 24(10),99 Ruggiero, V. 24(4),15
Sahn, B.K. :14(10),19 Saikauskas, IL 24(12),177 Salzer, HE. 24(3),1 13 Samanta, S. 24(7),3 Samareh-Abolhassani, J. 24(516),69
Sandoh, H. 24(1/2),57 Saunderson, ELC. 24(12),187
Sawaki, K. 24(1/2),141 Schiifer, M. 24(8/9),195 Schneider, W. 24(8/9),1 Schreiber, R. 24(7),17
Scgawa, Y. 24(1/2),91 Scngupta, J.T. 24(8/9),259 Seya, K. 24(1/2),119 s ismn, K. 24(1/2),1 Sieator, FJL 24(7),125 SlowlKski, R. 24(7),109 Smith, R~E. 24(5/6),69 Sod, G.A. 24(5/6),1 Soni, n.lL 24(5/6),191 Stefanowsid, J. 24(7),109 Stojmenovic, I. 24(4),61 sugasawa, Y. 24(1/2)J 19 Sun, X. 24(12),195
Tanaka, EL 24(1/2),135 Tewarson, R.P. 24(4),93 Toyoizumi, EL 24(1/2),7 Trzaska, Z.W. 24(11),17
Uebe, G. 24(8/9),167 Ueda, Y. 24(I/2),I09
Van Dark, M. 24(10),55 Vanden Berghe, G.
24(10),55
Varadarajan, V.S. 24(3),37 Venkatesan, R. 24(4),103 Vermeulen, M. 24(11),79
Wachspress, E.L. 24(7),25 Ward, J.D. 24(12),35 WeatherUi, N.P. 24(5/6),129
Whnp, J. 24(10),89
Xu, Y. 24(12),201
Yamada, S. 24(1/2),71,79 Yamato, K. 24(1/2),109 Yamazald, G. 24(1/2),1 Yasui, K. 24(1/2),51 Yavin, Y. 24(4),85
Zadrommy, P.A. 24(8/9),289
Zeliner, A. 24(8/9),275 Zhang, Y. 24(3),49 Zhu, L.-X. 24(11),65 Zhu, Q. 24(7),89
Typeset in AMS-TEX by Texnological Associates, St Louis, Mo. Pdnted and bound in Great Bdtain by BPCC Wheatons Ltd, Exeter Published by Pergamon Press Ltd, Oxford
301