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8/3/2019 AMAT199 PRESENTATION - Finding the Optimal Location of Taytay Rizals Public Library
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Finding the OptimalLocation of Taytay Rizals
Public Library
Proponent: Francesco Jose Ricardo C.
FranciscoAdviser: Professor Genaro Cuaresma
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STATEMENT OF THE PROBLEM
Given four possible sites, where is the optimal
location of Taytay, Rizals public library in terms
of accessibility and demand?
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OBJECTIVES
The study aims to:
evaluate which among the four alternatives is
the best location for Taytay, Rizals publiclibrary in terms
a) Accessibility
b) Demand
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SIGNIFICANCE OF THE STUDY
Aid local government officials in decision
making
Ease of accessibility to future libraryspotential customers
High utilization of public library
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P-CENTER MODEL
Assumptions:
A library can only be located at vertices
Given candidate sites for the public libraryL = {1,2,,l} where l = 4
Given customer/school sites S = {1,2,,s}where s = 72
Dsl = distance between school s andcandidate site l
ps = demand/population atcustomer/school s
1 = number of library to be located
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P-CENTER MODEL
Decision Variables
xl =
x1 = near new municipal building
x2 = old municipal building
x3 = old slaughter housex4 = provincial library
ysl =
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P-CENTER MODEL
Additional Variable
ws =
Objective Function
Minimize F =
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REVIEW OF RELATED LITERATURE
Jia, H., Ordoez, F. and Dessouky, M. (2005).
A Modeling Framework for Facility
Location of Medical Services for Large-
Scale Emergencies. Los Angeles, CA:University of Southern
Abdel-Latif, Dr. Ahmed M. W. (2007).
Combining GIS-Based Spatial Analysisand Optimization Techniques to Generate
Optimum Facility Locations. Saudi: eMap
Division Aramco.
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REVIEW OF RELATED LITERATURE
Miranda,Jose Roel Ordona. Finding The
Best Location for a Fire Station in the
University of the Philippines at Los
Baos.
Corpuz, Christie Sebastian. On Selecting
the Best Location for the New Market
site in Los Baos using the multicriteriaanalysis.
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SCHEDULE OF ACTIVITIES
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
SEPTEMBER
Data Gathering
JULY-AUGUSTActivities
Appendices
Literature Ci ted
Recommendations
S
ummary and Conclusion
Results and Discussion
Methodology
Theoretical Framework
Time and Place of the Study
Introduction
Background of the Problem
Statement of the Problem
Significance of the Study
Review of Related Literature
Objectives of the Study
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REFERENCES
Pandit, V. (2004). Local Search Heuristics for Facility Location Problems. New Delhi,
India: Department ofComputer Science and Engineering, Indian Institute ofTechnology Delhi.
Hamacher, H., Nickel, S. and Schneider, A. (1996). Classification of Location Problems.
Germany: Department of Mathematics, University of Kaiserslautern.
Handler, G. and Mirchandani, P. (1979). Location on Networks Theory and Algorithms.
Cambridge: MIT Press.
Eiselt, H., Laporte, G. and Thisse, J.F. (1993). Competetive location models: A
framework and bibliography. Transportation Science. 27(1): 44-54.
Carrizosa, E.J., Conde, E., Munoz, M. and Puerto J. (1995). The generalized weber
problem with expected distances. RAIRO. 29: 35-57.
Francis, R., McGinnis, L.F. Jr. and White, J. (1992). Facilities Layout and Location (2nd
ed.). Englewoods Cliffs, NJ: Prentice Hall.
Castello, B. (2005). Semi-obnoxious Multifacility Location: Models and Methods.
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REFERENCES
Nickel, S. and Puerto, J. (1996).A unified approach to network location problems.
Hakimi, S. (1964). Optimum location of switching centers and medians of a graph.
Operations Research. 12, 450-459.
Hooker, J., Garfinkel, R. and Chen, C. (1991). Finite dominating sets for network
location problems. Operations Research. 39, n. 1, 100-118.
Marianov, V. and Serra, D. (2009). Median Problems in Networks. Santiago, Chile:Pontifica Universidad Catolica de Chile.
Drezner, Z. (edited). (1995). Facility Location: A survey of applications and methods.
Springer, New York.
Labbe, M., Peeters, D. and Thisse, J. (1995). Location on Networks. Handbooks in OR
and MS. Vol. 8. Elsevier.
Mirchindani, P. and Francis, R. (edited). (1990). Discrete Location Theory. New York:
John Wiley and Sons.
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REFERENCES
Jia, H., Ordoez, F. and Dessouky, M. (2005).A Modeling Framework for Facility
Location of Medical Services for Large-Scale Emergencies. Los Angeles, CA:University of Southern California. Daniel J. Epstein Department of Industrial and
Systems Engineering.