approximation algorithms for facility location problems

148 Pages·2013·1.61 MB·English

APPROXIMATION ALGORITHMS FOR
FACILITY LOCATION PROBLEMS
AthesissubmittedtoUniversityofDelhi
fortheawardofthedegreeof
Doctor of Philosophy
by
Manisha Bansal
Department of Computer Science
University of Delhi
Delhi-110007, India
October, 2013
(cid:13)c UniversityofDelhi,2013
AllRightsReserved.
APPROXIMATION ALGORITHMS FOR
FACILITY LOCATION PROBLEMS
AthesissubmittedtoUniversityofDelhi
fortheawardofthedegreeof
Doctor of Philosophy
by
Manisha Bansal
Department of Computer Science
University of Delhi
Delhi-110007, India
October, 2013

Declaration
Thethesisentitled“APPROXIMATIONALGORITHMSFORFACILITYLOCATIONPROB-
LEMS”, which is being submitted for the award of the degree of Doctor of Philosophy is
a record of original and bona fide research work carried out by me in the Department of
ComputerScience,UniversityofDelhi,Delhi,India.
The work presented in this thesis has not been submitted to any other university or
institutionforanyacademicaward.
ManishaBansal
DepartmentofComputerScience,
UniversityofDelhi,
Delhi,India.

Certificate
Thisistocertifythatthethesisentitled“APPROXIMATIONALGORITHMSFORFACIL-
ITY LOCATION PROBLEMS ” being submitted by Manisha Bansal in the Department
of Computer Science, University of Delhi, Delhi, for the award of degree of Doctor of
Philosophy is a record of original research work carried out by her under the supervision
ofDr. NeelimaGupta.
The thesis or any part thereof has not been submitted to any other University or
institutionforanyacademicaward.
Supervisor Head
Dr. NeelimaGupta Mr. P.K.Hazra
DepartmentofComputerScience DepartmentofComputerScience
UniversityofDelhi UniversityofDelhi
Delhi,India. Delhi,India.

Acknowledgment
IwouldneverbeabletoadequatelythankDr. NeelimaGupta,mysupervisorandmentor,
for helping me in developing my research topics. Her continued guidance and support
during last four years has helped me accomplish this work. She allowed me to work
freely, but was always there whenever I needed advice or guidance. I want to thank her
not only for her tremendous guidance and encouragement throughout my study, but also
herendlesstrustandunderstanding.
IthankProf. NaveenGargforhiscontinualsupportduringalltheseyears. Hewould
neversaynowheneverIsoughttimefordiscussion.
I also thank members of my advisory committee, Dr. Naveen Kumar and Dr. Va-
sudhaBhatnagarfortheirguidanceandsupportinthelastfouryears.
I am grateful to The Principal of my college, Dr. Babli Moitra Saraf, for her coop-
erationduringtheseyears. Sheinspiresmeinmanyways.
I am also deeply thankful to my head of department, Mr. P.K. Hazra, for his coop-
erationduringtheresearch.
My deepest appreciation goes to my entire family, including my husband, Deepak,
my kids, Jiya and Manu, my mother, my brothers and my father-in-law. I could not have
finished this research without their support, love, and encouragement. Most specially, I
want to thank my husband, who has always supported me in my endeavors and my kids
who have silently lent me all the support they can. I wish my father was here to see my
achievement.
I thank my friends, Geeta, Seema, Veenu, Vikas, Rampal, Ritu, Archana, Manoj,
andmanyotherswhohaveinsomewayortheotherhelpedmethroughthisjourney.
Last but not the least, my sincere thanks also goes to support staff at Department of
Computer Science who were always ready to help with smiling faces and supported me
throughoutstudies.
ManishaBansal