AMAT199 PRESENTATION - Finding the Optimal Location of Taytay Rizal’s Public Library

8/3/2019 AMAT199 PRESENTATION - Finding the Optimal Location of Taytay Rizals Public Library

1/15

Finding the OptimalLocation of Taytay Rizals

Public Library

Proponent: Francesco Jose Ricardo C.

FranciscoAdviser: Professor Genaro Cuaresma


2/15


3/15

STATEMENT OF THE PROBLEM

Given four possible sites, where is the optimal

location of Taytay, Rizals public library in terms

of accessibility and demand?


4/15

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


5/15

SIGNIFICANCE OF THE STUDY

Aid local government officials in decision

making

Ease of accessibility to future libraryspotential customers

High utilization of public library


6/15

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


7/15

P-CENTER MODEL

Decision Variables

xl =

x1 = near new municipal building

x2 = old municipal building

x3 = old slaughter housex4 = provincial library

ysl =


8/15

P-CENTER MODEL

Additional Variable

ws =

Objective Function

Minimize F =


9/15


10/15

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.


11/15

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.


12/15

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


13/15

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.


14/15

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.


15/15

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.

AMAT199 PRESENTATION - Finding the Optimal Location of Taytay Rizal’s Public Library

Documents