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I ISSN: 0898-1221 | COMPUTERS AND MATHEMATICS WITH APPLICATIONS Editor-in-Chief: Ervin Y. Rodin List of Contents and Author Index Volume 24, 1992 p.:=C~D,NGTO: E-MA,L ~, -- _,¢=. ~ IE-I~-~ILDATE: JULY 30 2002 Z~ '-1::. ,,.r" .... L V ~' | ARCHIVING DEPARTMENTI ~ pergamon press oxford • new york • seoul • tokyo

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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

Department of Systems Science and Mathematics Campus Box 1040, Washington University

One Brookings Drive, St Louis MO 63130-4899, U.S.A.

Tel.: 314-935-6007 or 935-5806 Fax: 314-935-6121 or 935-6007

E.maih rodin @ rodin.wustl.edu uunet!wuarchive!rodin.wustl.edu!rodin rodin %rodin.wustl.edu @wugate.wustl.edu

Publishing Office Pergamon Press Ltd, Pergamon House, Bampfylde Street, Exeter EXl 2AH, England [Tel. (0392) 51558; Fax 425370].

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Published 2 lining/month in 2 volumes Sub;~,,-Ipllon R a m Annual Institutional Subscription Rate (1993): £874.00 (U.S.$1661.00). Sterling prices are definitive. U.S. dollar prices are quoted for convenience only, and are subject to exchange rate fluctuation. Prices include postage and insurance and are subject to change without notice. Members of the American Mathematica/Society may order personal subscriptions at a concessional rate, details of this rate are available upon request.

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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