Title: Optima
Full Citation
Permanent Link: http://ufdc.ufl.edu/UF00090046/00036
 Material Information
Title: Optima
Series Title: Optima
Physical Description: Serial
Language: English
Creator: Mathematical Programming Society, University of Florida
Publisher: Mathematical Programming Society, University of Florida
Place of Publication: Gainesville, Fla.
Publication Date: March 1992
 Record Information
Bibliographic ID: UF00090046
Volume ID: VID00036
Source Institution: University of Florida
Holding Location: University of Florida
Rights Management: All rights reserved by the source institution and holding location.


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N 36

MPA Adds
Associate Editors
Computational Papers

has always been a fundamental part of mathematical
programming, and its importance i- growing. The
ready availability of a wide variety of powerful and
relatively inexpensive computing environments means
that the great majority of the algorithms that are now
proposed can be implemented and evaluated and
extended through computation. The mere fact, that
problems that previously would have taken days or
weeks to solve can now be solved in minutes or hours,
means that we can try our methods while we think
about them. This fact is leading increasingly to the
emergence of computation as one of the specialties
within mathematical programming. It is my intention
as Editor-in-Chief of Mathematical Programming Series
A to encourage this development. As a first step the
number of issues to be published by Mathematical
Programming Series A will be increased beginning in
1992 from nine to 12 per year.
The evaluation of computational papers is, of course,
difficult and has typically been a process in which
standards were applied that tended to discourage
papers with primarily computational content. In spite
of this fact (or because of it) I will not try to describe
specific standards here. I doubt it is possible to give a

useful description that is appropriate to all PAGEFOUR h-












The George Washington
Washington, D.C.

May 21-22, 1992

A Fourteenth Symposium on Mathematical Pro-
gramming with Data Perturbations will be held at
George Washington University's Marvin Center
on May 21-22,1992. This symposium is designed
to bring together practitioners who use mathe-
matical programming optimization models and
deal with questions of sensitivity analysis with re-
searchers who are developing techniques appli-
cable to these problems.
Contributed papers in mathematical program-
ming are solicited in the following areas:
(1)Sensitivity and stability analysis results
and their applications.
(2)Solution methods for problems involving
implicitly defined problem functions.
(3)Solution methods for problems involving
deterministic or stochastic parameter
(4)Solution approximation techniques
and error analysis.

"Clinical" presentations thatdescribe problems in
sensitivity or stability analysis encountered in
applications are also invited.
Abstracts should provide a good technical sum-
mary of key results, avoid the use of mathemati-
calsymbols and references, not exceed 500 words,
and include a title and the name and full mailing
address of each author. Abstracts of papers in-
tended for presentation at the Symposium should
be sent in triplicate by March 9,1992, to Professor
Anthony V. Fiacco, Department of Operations
Research, The George Washington University,
Washington, DC 20052, Telephone (202) 994-7511.
Approximately 30 minutes will beallocated for the
presentation of each paper. A blackboard and
overhead projector will be available.


University of Oxford

July 6-9, 1992
This will be the latest in a series of Combina-
torial Optimisation (CO) conferences held in
the UK, the most recent being C089 at Leeds
All aspects of combinatorial optimization are
covered, including applications in Opera-
tional Research and Computer Science. A
theme within the meeting will be "algo-
rithms and probability." The invited
speakers who have agreed to address the
conference are:
P. Flajolet (France)
K. D. Glazebrook (UK)
R. M. Karp (USA)
N. Meggido (USA)
B. A. Reed (Germany).
Short Abstracts (at most 300 words) of
contributed papers should be sent by
April 1,1992 to:
C092, Department of Statistics
1 South Parks Road
Oxford OX1 3TG, England
e-mail: co92@uk.ac.ox.vax
Further information may be obtained
from the same address.


XIII World Conference on
Operations Research
Lisboa, Portugal
July 12-16, 1992
The International Federation of Operations Re-
search Societies (IFORS) will be 34 years old in
1993. As an association of 39 national OR societies
and five kindred societies, its purpose is the devel-
opmentof operations research as a unified science
and its advancement in all nations of the world.
One of the main activities of IFORS is the organi-
zation of a World Conference every three years.
The IFORS XIII Conference will look to the future
and highlight new and evolving methodological
advances and areas of applications that will take
OR into the next century. Invited and contributed
sessions will address OR's important role in shap-
ing the future business, industry, government,
education and related scientific fields such as ar-
tificial intelligence, computer science, decision and
informationsystems,and statistics. And recogniz-
ing that "What's past is prologue," the members
of the international OR community are invited
and encouraged to present papers describing their
current research and applications andstate-of-the-
art reviews.
Call-for-papers and paper submission forms are
available from the Conference Secretariat. The
abstract should reach the Conference Secretariat
by April 1, 1992, for inclusion in the Invitation
All over the world many colleagues are working
under the direction of Prof. Saul Gass, Program
Committee Chairman, to achieve a Conference
with high scientific and technical standards. In
Portugal, the Organizing Committee is also busy
making arrangements to create the right environ-
ment for a fruitful meeting. Lisbon is a city full of
tradition and character, and the social program
will provide some pleasant surprises.
Program Committee Chairman:
Prof. Saul I. Gass
Management Science and Statistics
University of Maryland
College Park, MD 20742 U.S.A.
FAX (301) 314-9157
Organizing Committee Chairman:
Prof. J. Dias Coelho
Secretariat: Faculdade de Economia
Universidade Nova de Lisboa
Travessa Estevio Pinto
1000 Lisboa, Portugal
FAX 351-1-3871105

~ I ~ I~ ~ ~l~s~


number thirty-six

MARCH 1992

PAE3 ube hit-sxMAC 19


MPS Symposium

University of Michigan
Ann Arbor, Mich.
August 15-19, 1994
The 15th Mathematical Programming Sympo-
sium will take place August 15-19,1994, on the
campus of the University of Michigan in Ann
Arbor. The organizing committee is chaired by
John Birge and includes Katta Murty, Romesh
Saigal, James Bean, Robert L. Smith, Panos
Papalmbros, and D. Teneketzis, all from the
University of Michigan, Richard Caron, from
the University of Windsor, Irwin Schochet-
mann from Oakland University, Jeffrey Alden
from General Motors, and Marilyn Maddox
from Ford Motor Co.
Although it is small (130,000 population), Ann
Arbor has many conveniences of a big city,
including a wide variety of cultural activities.
The city is also just 30 minutes from the Detroit
Metropolitan Airport, which provides nonstop
service to London, Frankfort, Amsterdam,
Paris, Seoul, Tokyo, and most of North
America. Great Lakes beaches and parks are
within a day's drive, while driving time from
Chicago or Toronto is five to six hours.
The organizing committee has begun the pro-
cess of securing meeting rooms, accommoda-
tions, and developing the program. They plan
to build on Michigan's location in the manufac-
turing center of the United States by actively
involving local industry and highlighting
mathematical programming's uses in improv-
ing quality and efficiency.



Stockholm, Sweden
June 25-26, 1992
We invite theoretical, computational and
applied papers for the 3rd Stockholm
Optimization Days.
The conference will take place at KTH (the
Royal Institute of Technology) in
Stockholm, June 25-26, 1992, the week
before the Helsinki TIMS/EURO Confer-
ence. (Stockholm is a nice 12-hour cruise
from Helsinki.)
We plan to have sessions on dual optimiza-
tion methods, spare parts optimization
techniques, power planning and large scale
nonlinear programming, among other areas.

Invited speakers include:
Dimitri Bertsekas
Jacques Desrosiers
Marshall Fisher
Philip Gill
Stephen Graves
Don Hearn
Jim Ho
Walter Murray
Craig Sherbrooke
Philippe Toint
There will be limited support available
for local expenses.
Abstracts should be sent by May 1
(preferably by e-mail) to P. O. Lindberg
at pol@math.kth.se (on internet) or
pol@sekth.bitnet (on bitnet), or
Department of Mathematics, KTH,
100 44 Stockholm, Sweden.


Computational Optimization and Applications
A new journal entitled Computational Optimization andApplications isbeing established by
Kluwer Academic Publications, with the first issue appearing in 1992. This peer reviewed jour-
nal is committed to timely publication of research and tutorial papers on the analysis and
development of computational algorithms and modeling technology for optimization. Algo-
rithms either for general classes of optimization problems or for more specific applied
problems are of interest. Stochastic algorithms as well as deterministic algorithms will be con-
sidered. Papers that can provide theoretical analysis along with carefully designed computational
experiments are particularly welcome. Author instructions and a list of the editorial board can
be obtained from either of the following addresses:
hager@math.ufl.edu Karen@world.std.com
William W. Hager Karen S. Cullen
Department of Mathematics Kluwer Academic Publishers
201 Walker Hall Editorial Office
University of Florida 101 Philip Drive
Gainesville, FL 32611 Norwell, MA 02061



number thirty-six

MARCH 1992

Mathematical Sciences
Clemson University
Clemson, SC 29634-1907
H-W. Jung, R.E. Marsten and M.J. Saltzman,
"The Column Cholesky Method for Numerical
Factorization in Interior Point Algorithms," No.
H-W. Jung and M.J. Saltzman, "The
Multifrontal Method for Numerical Factoriza-
tion in Interior Point Algorithms," No. 597.
M.M. Kostreva and M.M. Wiecek, "Time
Dependency in Multiple Objective Dynamic
Programming," No. 601.
J.V. Brawley and G.L. Mullen, "Scalar
Polynomial Functions on the Nonsingular n x n
Matrices Over a Finite Field," No. 602.
S.G. Hedetniemi and R. Laskar, "The Fifth
Clemson mini-Conference ON[R] Discrete
Mathematics," No. 603.
M. Wiecek, "POLYSKEL Decision Support
for a Class of Multicriteria Problems," No. 604.
P.B. Mirchandani and M. Wiecek, "Routing
with Nonlinear Multiattribute Cost Functions,"
No. 606.
R.E. Bixby and M.J. Saltzman, "Recovering an
Optimal LP Basis from an Interior Point
Solution," No. 607.
A.A. Ebiefung and M.M. Kostreva, "Z-
matrices and the Generalized Linear
Complementarity Problem," No. 608.
A.A. Ebiefung and M.M. Kostreva, "The
Generalized Leontief Input-Output Model and
its Application to the Choice of New Technol-
ogy," No. 609.
A.A. Ebiefung and M.M. Kostreva,
"Generalized Po and Z-Matrices," No. 610.
J.V. Brawley, "Polynomial Functions on
Matrices over a Finite Field," No. 611.

number thirty-six

Technical Reports


Systems Optimization
Department of Operations
Stanford University
Stanford, CA 94305-4022
F. Jarre and M.A. Saunders, "An Adaptive
Primal-Dual Method for Linear Programming,"
SOL 91-1.
D.B. Poncele6n, "Barrier Methods for Large-
Scale Quadratic Programming," SOL 91-2.
P.E. Gill, W. Murray, D.B. Poncele6n and
M.A. Saunders, "Primal-Dual Methods for
Linear Programming," SOL 91-3.
G.B. Dantzig and G. Infanger, "Large-Scale
Stochastic Linear Programs: Importance
Sampling and Benders Decomposition,"
SOL 91-4.
G.B. Dantzig, "Converting a Converging
Algorithm into a Polynomially Bounded
Algorithm," SOL 91-5.
G. Infanger, "Monte Carlo (Importance)
Sampling Within a Benders Decomposition
Algorithm for Stochastic Linear Programs
Extended Version: Including Results of Large-
Scale Problems," SOL-6.
P.E. Gill, W. Murray, D.B. Poncele6n and
M.A. Saunders, "Solving Reduced KKT
Systems in Barrier Methods for Linear and
Quadratic Programming," SOL 91-7.
F. Jarre, "An Interior-Point Method for
Minimizing the Maximum Eigenvalue of a
Linear Combination of Matrices," SOL 91-8.
F. Jarre and M.A. Saunders, "Practical
Aspects of an Interior-Point Method for Convex
Programming," SOL 91-9.
G.B. Dantzig, J.K. Ho and G. Infanger,
"Solving Stochastic Linear Programs on a
Hypercube Multicomputer," SOL 91-10.
G.B. Dantzig and G. Infanger, "Multi-Stage
Stochastic Linear Programs for Portfolio
Optimization," SOL 91-11.

MA.\RCil Iq--)


Areas o ma.theinltica Il progr.a1TI m In,,
although some guidance is proidWd L'
the references listed L-vlow. Rather, it is
Important that the editorial board
include pteple who have dLne siglitil-
cant computation and can make thice
judgements. With this idea in mind, the
editorial board of Mathematical Program-
ming Series A has been expanded to
include three new associate editors,
appointed specifically (though not
exclusively) to deal with
computational work:
I.J. Lustig, Princeton University,
Princeton, New Jersey, USA
M. Jiinger, University of Cologne,
Cologne, Germany
R. Meyer, University of Wisconsin,
Madison, Wisconsin, USA.
Submissions of papers will continue, as
before, through the four co-editors: R.E.
Bixby, M. Kojima, R. Schnabel and L.
Wolsey. Computational papers in the area of
discrete optimization can be sent to either
Bixby or Wolsey. Computationally oriented
work on linear programming should be sent
to Bixby, and computational work on
nonlinear programming should be sent
to R. Schnabel.
Mathematical Programming, Series A

References on the publication of
computational papers:
H.P. Crowder, R.S. Dembo and J.M. Mulvey,
"On Reporting Computational
Experiments with Mathematical
Software," ACM Transactions on
Mathematical Software 5 (1979),
H.J. Greenberg, "Computational Testing:
Why, How and How Much," ORSA
Journal on Computing 2:1 (1990), 94-97.
R.H.F. Jackson, P.T. Boggs, S.G. Nash, and S.
Powell, "Guidelines for Reporting
Results of Computational Experi-
ments: Report of the Ad Hoc Commit-
tee," Mathematical Programming 49,
(1991) 413-425.


R 9 V I E W $

Model Building in
By H.P. Williams
John Wiley, 1990
ISBN 0-471-92581-0
Whenattempting to apply mathematical program-
ming techniques to solve problems arising in prac-
tice, the first step to be undertaken is to formulate
an appropriate model. Whereas there are many
books dealing with mathematical programming
algorithms, thereareonlya few which address the
problem of model building. And even if they ad-
dress this issue, they do not discuss it in enough
depth. This gap is filled by the present book which
is concerned entirely with the development of
suitable models for practical applications.
The scope of the book is best visualized by repeat-
ing its aims as stated in the preface.
a)"It is intended to provide students in universi-
ties and polytechnics with solid foundation in the
principles of model building as well as the more
mathematical, algorithmic side of the subject
which is conventionally taught."
b)"This book is also intended to provide manag-
ers with a fairly non-technical appreciation of
the scope and limitations of mathematical pro-
c)"It is hoped that the general reader will be able
to use the principles described in this book to build
mathematical models and therefore learn about the
functioning of systems which purely verbal de-
scriptions fail to explain."
The book meets these three main goals. As indi-
cated in the preface, the reader cannot expect that
mathematical programming theory and algo-
rithms are covered in depth, but in view of many
publications in this area, it was not the intention
of the author. The book concentrates on case stud-

ies and is J particu-
larly useful e because
model building for 20 problems
is discussed in detail and is accompanied by ex-
plicit solutions. It will be appreciated very much
by practitioners who already have knowledge in
the field of mathematical programming.
For a fourth edition I would like to have more up-
to-date references included and, in addition to
linear and integer programming, I would recom-
mend that dynamic programming be discussed
as well.

Numerical Solution of
Optimal Control Problems
with State Constraints by
Sequential Quadratic
Programming in Function
By K.C.P. Machielsen
CWI Tract 53
Centrum voor Wiskunde en
Amsterdam, The Netherlands, 1988

In this monograph completely determined optimal
control problems reconsidered. Itisassumed that
they are described by a system of ordinary differ-
ential equations of the form
W(t) = f(x(t),u(t),z) 0

Where the state in x:[0,T]->R" and the
A control variable is u: [0,T]->R", and f:
R" x R" x [0,T]-+R" is assumed to be
twice continuously differentiable with respect to
its arguments.
The system is to be controlled over the period [0,T]
starting from the initial state x0 = x(0), where T
denotes the final time. The objective function is
given by
J(x,u): =.f0(x(t),u(t),z)dt + g(x(T),T),
where f0 and go are assumed to be twice continu-
ously differentiable.
The purpose of this monograph is to present nu-
merical methods for solving the state constraint
optimal control problem. This is done by the se-
quential programming methods in function
In the monograph this technique is discussed
within the frame of nonlinear differentiable opti-
mization problems. In this generalsetting the well-
known maximum principle is derived from the
necessary optimality conditions. Then the sequen-
tial programming method in Banach Spaces is
discussed as an iterative decent method where the
direction of search is determined by the solution
of a subproblem with quadratic objective and lin-
ear constraint.
Forstate constrained optimal control problems this
method cannot be applied immediately. Thus a
modification of the subproblem is proposed which
only leads to approximate solutions.
The numerical implementation of the method
comes down to the numerical solution of a linear
multipoint boundary value problem. At the end of
this monograph numerical solutions for the
unstationary dolphin flight of a glider, for the
reentry maneuver of an Apollo capsule, and for the
optimal control of servo systems along a
prespecified path are given.
The materialin this monograph is nicely presented.
Of special interest are the numerical examples
given at the end.



number thirty-six

MARCH 1992


number thirty-six


Vol. 53, No. 1

J. Renegar and M. Shub, "Unified Complexity
Analysis for Newton LP Methods."
T.F. Coleman and P.A. Fenyes, "Partitioned
Quasi-Newton Methods for Nonlinear Equality
Constrained Optimization."
D. Burton and Ph.L. Toint, "On An Instance
of the Inverse Shortest Paths Problem."
F. Rendl and H. Wolkowicz, "Applications of
Parametric Programming and Eigenvalue
Maximization to the Quadratic Assignment
H.E. Romeijn, R.L. Smith and J.C. Bean,
"Duality in Infinite Dimensional Linear
M. Fukushima, "Equivalent Differentiable
Optimization Problems and Descent Methods for
Asymmetric Variational Inequality Problems."
V.H. Nguyen and J-J. Strodiot, "Computing a
Global Optimal Solution to a Design Centering

Vol. 53, No. 2

J.M. Steele, "Euclidean Semi-Matchings of
Random Samples."
J. Fonlupt and D. Naddef, "The Traveling
Salesman Problem in Graphs with Some
Excluded Minors."
M. Fischetti and P. Toth, "An Additive
Bounding Procedure for the Assymmetric
Traveling Salesman Problem."
J.A.M. Potters, I.J. Curiel and S.H. Tijs,
"Traveling Salesman Games."
R. Fourer, "A Simplex Algorithm for Piecewise-
Linear Programming III: Computational
Analysis and Applications."
S.R. Mohan and R. Sridhar, "A Note on a
Characterization of P-Matrices."

Vol. 53, No. 3

R.K. Ajuja, A.V. Goldberg, J.B. Orlin and
R.E. Tarjan, "Finding Minimum-Cost Flows by
Double Scaling."
C. ZAlinescu, "A Note on d-Stability of Convex
Programs and Limiting Lagrangians."
B. Rustem, "A Constrained Min-Max Algo-
rithm for Rival Models of the Same Economic
P. Tseng, "Complexity Analysis of a Linear
Complementarity Algorithm Based on a
Lyapunov Function."
B.C. Eaves and U. Rothblum, "Dines-Fourier-
Motzkin Quantifier Elimination and an
Application of Corresponding Transfer Prin-
ciples over Ordered Fields."
Z.B. Zabinsky and R.L. Smith, "Pure
Adaptive Search in Global Optimization."
P.T. Thach, "A Decomposition Method Using a
Pricing Mechanism for Min Concave Cost Flow
Problems with a Hierarchical Structure."
T. Naitoh and S. Fujishige, "A Note on the
Frank-Tardos Bi-Truncation Algorithm for
Crossing-Submodular Functions."

Vol. 54, No. 1

R.G. Bland and D.L. Jensen, "On the
Computational Behavior of a Polynomial-Time
Network Flow Algorithm."
J.B. Orlin and R.K. Ahuja, "New Scaling
Algorithms for the Assignment and Minimum
Mean Cycle Problems."
U.G. Rothblum, "Characterization of Stable
Matchings as Extreme Points of a Polytope."
E.R. Barnes, A.J. Hoffman and U.G.
Rothblum, "Optimal Partitions Having
Disjoint Convex and Conic Hulls."
H.C. Lai and S.Y. Wu, "Extremal Points and
Optimal Solutions for General Capacity
A. Billionnet and A. Sutter, "Persistency in
Quadratic 0-1 Optimization."

Vol. 54, No. 2

S.A. Vavasis, "Local Minima for In
Quadratic Knapsack Problems."
E. Polak, J.E. Higgins and D.Q. M
"A Barrier Function Method for Min
R. Polyak, "Modified Barrier Functi
(Theory and Methods)."
R.H. Mladineo, "Convergence Rate
Global Optimization Algorithm."
R.J. Caron, M. Hlynka and J.F. Mc
"On the Best Case Performance of H
Methods for Detecting Necessary Co

Vol. 54, No. 3

K.M. Anstreicher and R.A. Bosch, "Long
Steps in a O(n3L) Algorithm for Linear Pro-
M. Kojima, N. Megiddo and Y. Ye, "An
Interior Point Potential Reduction Algorithm
for the Linear Complementarity Problem."
K.M. Anstreicher, J. Lee and T.F.
Rutherford, "Crashing a Maximum-Weight
Complementary Basis."
C. Roos and J.-Ph. Vial, "A Polynomial
Method of Approximate Centers for Linear
R.L. Smith and I.E. Schochet-Man, "Finite
Dimensional Approximation in Infinite
Dimensional Mathematical Programming."
D.M. Topkis, "Paths on Polymatroids."
J.P. Sousa and L.A. Wolsey, "A Time Indexed
Formulation on Non-Preemptive Single-
Machine Scheduling Problems."

MARCH 1992





it and Run

- 1----- 111 --~----~---~-'



Research Position

in Optimization

at Cornell


number thirty-six

The Cornell Computational Optimization Project (CCOP) has an opening for a postdoctoral re-
search position, beginning Fall'92. This is a 1-year position with possible extension to two years.
CCOP spans two departments at Cornell (CS and OR) and is concerned with all aspects of op-
timization, continuous and discrete. Currently we are comprised of several faculty, research
associates, and postdoctoral researchers (and Ph.D. students) covering many facets of compu-
tational and theoretical optimization. Computing resources include a large network of Sun
workstations and access to several parallel computers in the Cornell Theory Center.
If you will have received a Ph.D. in an optimization-related area by Fall '92 and are interested,
please send your application, with a vita listing three references, to:

Professor M.J. Todd
CCOP, School of OR&IE
229 ETC Bldg.
Cornell University
Ithaca, NY 14853-3801.
Inquiries can be sent via email to:
or coleman@cs.cornell.edu.

cApplication for (c7embership

Mail to:

do International Statistical Institute
428 Prinses Beatrixlaan
2270 AZ Voorburg
The Netherlands

Cheques or money orders should be made payable to
in one of the currencies listed below.
Dues for 1992, including subscription to the journal Mathematical
Programming, are Dfl.115.00 (or $55.00 or DM100.00 or 32.50 or
FF345.00 or Sw.Fr.86.00).
Student applications: Dues are one-half the above rates. Have a
faculty member verify your student status and send application
with dues to above address.

I wish to enroll as a member of the Society. My subscription is for
my personal use and not for the benefit of any library or institution.
I enclose payment as follows:

Dues for 1992

Name (please print)

Mailing Address (please print)


Faculty verifying status


MARCH 1992

'-. ,-_1- M

--- ~---- ~--------~

ANNA NAGURNEY (Univ. of Massa-

Chusetts) is the recipient of an NSF

FacultyAward forWomen.These five-

4ear awards redesigned to recognize

and support women academic leaders

involved in both teaching and re-

search. 1BOB BIXBY (Rice) is visiting
Konrad-Zuse-Zentrum for Informa-

tion Technology Berlin until October,

1992. LES TROTTER (Cornell) is vis-

iting E.P.F.L., Lausanne, during

academic year 1991-92. IJOHN R.

BIRGE (Univ. of Michigan) visited the

University of Florida in February, giv-

ing three special seminars on

stochastic programming. Deadline

for the next OPTIMA is June 15,1992.

Books for review should be
sent to the Book Review Editor,
Professor Adolphus J.J. Talman
Department of Econometrics
Tilburg University
P.O. Box 90153
5000 LE Tilburg

Journal contents are subject
to change by the publisher.

Donald W. Hearn, EDITOR
Elsa Drake, DESIGNER



303 WeilHall
College ofEngineering
University of Florida
Gainesville, Florida 326r-2083 USA

771 ; I", \ 1 I , ', ,,- -_ 7

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