Theoretical and computational aspects of simulated annealing

189 Pages·2017·6.02 MB·English

Theoretical and computational aspects of simulated annealing
Citation for published version (APA):
van Laarhoven, P. J. M. (1988). Theoretical and computational aspects of simulated annealing. [Phd Thesis 4
Research NOT TU/e / Graduation NOT TU/e), Erasmus University Rotterdam]. Erasmus Universiteit Rotterdam.
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Published: 01/01/1988
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Download date: 13. Mar. 2023

Front page: configurations of a 100-city travelling salesman problem ob
tained after generation of 0, 68, 92 and 123 Markov chains, respectively.
THEORETICAL AND COMPUTATIONAL ASPECTS
OF SIMULATED ANNEALING
THEORETICAL AND COMPUTATIONAL ASPECTS
OF SIMULATED ANNEALING
(THEORETISCHE EN COMPUTATIONELE ASPEKTEN
VAN GESIMULEERDE TEMPERING)
PROEFSCHRIFT
TER VERKRIJGING VAN DE GRAAD VAN DOCTOR
AAN DE ERASMUS UNIVERSITEIT ROTTERDAM
OP GEZAG VAN DE RECTOR MAGNIFICUS
PROF.DR. A.H.G. RINNOOY KAN
EN VOLGENS BESLUIT VAN HET COLLEGE VAN DEKANEN.
DE OPENBARE VERDEDIGING ZAL PLAATSVINDEN OP
DONDERDAG 18 FEBRUARI 1988 TE 16.00 UUR
DOOR
PETRUS JOSEPH MARIA VAN LAARHOVEN
GEBOREN TE DELFT
Promotiecommissie
Promotores: prof.dr. J.K. Lenstra
prof.dr. A.H.G. Rinnooy Kan
Overige leden: prof.dr. L.F.M. de Haan
prof.dr.ir. J.A.E.E. van Nunen
Co-promotor: dr. E.H.L. Aarts
Aan mijn ouders
en ter nagedachtenis aan opa
Few people of attainments take easily to a plan of self-improvement.
Some discover very early their perfection cannot endure the insult.
Others find their intellectual pleasure lies in the theory, not the prac
tice. Only a few stubborn ones will blunder on, painfully, out of the
luxuriant world of their pretensions into the desert of mortification
and reward.
Patrick White
Acknow ledgements
First and foremost, I would like to acknowledge the contributions of
Emile Aarts to this thesis. Not only did he initiate the research de
scribed here, he was also an active participant in it. I have found our
many discussions always inspiring and illuminating and I can only
hope that the future will hold many a promise for further fruitful co
operation.
I feel fortunate to have had professors Jan Karel Lenstra and Alexan
der Rinnooy Kan as supervisors. Their vast knowledge of combinato
rial optimization has been of great benefit to me and their meticulous
reading of several drafts of this thesis has yielded many substantial
improvements.
It is with pleasure that I acknowledge the numerous contributions of
Guus Boender to chapter 5 and the appendices; in addition, I am
grateful for his suggestions and for the many stimulating discussions
we had.
I am obliged to Eric van Utteren and to the board of directors of the
Philips Research Laboratories, in particular to Theo Claasen, for the
opportunity afforded to carry out the research described in this the
sis. The laboratories provide a pleasant working ambiance and their
population a stimulating environment: in particular do I owe thanks
to Gerard Beenker, Ronan Burgess, Ton Kalker and Jan Korst for
their comments and contributions while the work was in progress.
I am indebted to the other members of the Ph.D. committee, profes
sors L.F.M. de Haan, F.A. Lootsma, J.A.E.E. van Nunen and J. Wes
sels, who read drafts of this thesis and made constructive comments,
in particular to professor de Haan, for his contribution to appendix A,
and to professor Lootsma, who as my first teacher in operations re-
search aroused and fostered my interest in research in general.
With respect to the technica! realization of this book 1 would like to
thank Daan Reuhman for his advice on the use of li\TEX and Theo
Schoenmakers and his colleagues for their efforts in printing it.
1 express my thanks to many friends and relatives, my uncle and aunt
Tonny and Jetty Gerritsen featuring prominently among them, for
their support and encouragement during these past few years.
Finally - words always falling short from adequate expression of feel
ings - 1 am deeply grateful to my dear parents for their all-encom
passing and everlasting care and support. It is to them and to the
memory of my late grandfather that 1 dedicate this thesis.
PETER VAN LAARHOVEN
Geldrop
November 1987