An Integration of Rank Order Centroid, Modified Analytical Hierarchy Process and 0-1 Integer Programming in Solving A Facility Location Problem

Hadhramout province is the major producer of dates in The Republic of Yemen. Despite producing substantial quantity and quality of dates, the business losses are still high. The situation worsens with the widespread of the black market activities. Recently, the Yemeni government has issued an agreem...

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Main Author:	Balhuwaisl, Mohammed Ahmed Salem
Format:	Thesis
Language:	eng eng
Published:	2013
Subjects:	QA Mathematics
Online Access:	https://etd.uum.edu.my/3862/1/s90773.pdf https://etd.uum.edu.my/3862/7/s90773.pdf
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id	my-uum-etd.3862
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institution	Universiti Utara Malaysia
collection	UUM ETD
language	eng eng
advisor	Engku Abu Bakar, Engku Muhammad Nazri Mat Kasim, Maznah
topic	QA Mathematics
spellingShingle	QA Mathematics Balhuwaisl, Mohammed Ahmed Salem An Integration of Rank Order Centroid, Modified Analytical Hierarchy Process and 0-1 Integer Programming in Solving A Facility Location Problem
description	Hadhramout province is the major producer of dates in The Republic of Yemen. Despite producing substantial quantity and quality of dates, the business losses are still high. The situation worsens with the widespread of the black market activities. Recently, the Yemeni government has issued an agreement stating the importance of building a date palm packaging factory as a resolution to the problems. Hence, this study aims to identify the best location for a date palm packaging factory among the seven districts which produce most of the date palm supplies in Hadhramout. The selection was based on eleven criteria identified by several representatives from the farmers and the local councils. These criteria were market growth, proximity to the markets, proximity to the raw materials, labor, labor climate, suppliers, community, transportation cost, environmental factors, production cost, and factory set up cost. The level of importance and the respective weight of each criterion were calculated using two different approaches, namely, Analytic Hierarchy Process (AHP) and Rank Order Centroid (ROC). In applying AHP, a slight modification was made in the pairwise comparison exercises that eliminated the inconsistency problem faced by the standard AHP pairwise comparison procedure. Likewise, in applying ROC, a normalization technique was proposed to tackle the problem of assigning weights to criteria having the same priority level, which was neither clarified nor available in the standard ROC. Both proposed techniques revealed that suppliers were the most important criterion, while community was regarded to be the least important criterion in deciding the final location for the date palm factory. Combining the criteria weights together with several hard and soft constraints that were required to be satisfied by the location, the final location was determined using three different mathematical models, namely, the ROC combined with 0-1 integer programming model, the AHP combined with 0-1 integer programming model, and the mean of ROC and AHP combined with 0-1 integer programming model. The three models produced the same result; Doean was the best location. The result of this study, if implemented, would hopefully help the Yemeni government in their effort to improve the production as well as the management of the date palm tree in Hadhramout.
format	Thesis
qualification_name	Ph.D.
qualification_level	Doctorate
author	Balhuwaisl, Mohammed Ahmed Salem
author_facet	Balhuwaisl, Mohammed Ahmed Salem
author_sort	Balhuwaisl, Mohammed Ahmed Salem
title	An Integration of Rank Order Centroid, Modified Analytical Hierarchy Process and 0-1 Integer Programming in Solving A Facility Location Problem
title_short	An Integration of Rank Order Centroid, Modified Analytical Hierarchy Process and 0-1 Integer Programming in Solving A Facility Location Problem
title_full	An Integration of Rank Order Centroid, Modified Analytical Hierarchy Process and 0-1 Integer Programming in Solving A Facility Location Problem
title_fullStr	An Integration of Rank Order Centroid, Modified Analytical Hierarchy Process and 0-1 Integer Programming in Solving A Facility Location Problem
title_full_unstemmed	An Integration of Rank Order Centroid, Modified Analytical Hierarchy Process and 0-1 Integer Programming in Solving A Facility Location Problem
title_sort	integration of rank order centroid, modified analytical hierarchy process and 0-1 integer programming in solving a facility location problem
granting_institution	Universiti Utara Malaysia
granting_department	Awang Had Salleh Graduate School of Arts & Sciences
publishDate	2013
url	https://etd.uum.edu.my/3862/1/s90773.pdf https://etd.uum.edu.my/3862/7/s90773.pdf
_version_	1776103625773285376
spelling	my-uum-etd.38622023-01-26T01:25:43Z An Integration of Rank Order Centroid, Modified Analytical Hierarchy Process and 0-1 Integer Programming in Solving A Facility Location Problem 2013 Balhuwaisl, Mohammed Ahmed Salem Engku Abu Bakar, Engku Muhammad Nazri Mat Kasim, Maznah Awang Had Salleh Graduate School of Arts & Sciences Awang Had Salleh Graduate School of Arts and Sciences QA Mathematics Hadhramout province is the major producer of dates in The Republic of Yemen. Despite producing substantial quantity and quality of dates, the business losses are still high. The situation worsens with the widespread of the black market activities. Recently, the Yemeni government has issued an agreement stating the importance of building a date palm packaging factory as a resolution to the problems. Hence, this study aims to identify the best location for a date palm packaging factory among the seven districts which produce most of the date palm supplies in Hadhramout. The selection was based on eleven criteria identified by several representatives from the farmers and the local councils. These criteria were market growth, proximity to the markets, proximity to the raw materials, labor, labor climate, suppliers, community, transportation cost, environmental factors, production cost, and factory set up cost. The level of importance and the respective weight of each criterion were calculated using two different approaches, namely, Analytic Hierarchy Process (AHP) and Rank Order Centroid (ROC). In applying AHP, a slight modification was made in the pairwise comparison exercises that eliminated the inconsistency problem faced by the standard AHP pairwise comparison procedure. Likewise, in applying ROC, a normalization technique was proposed to tackle the problem of assigning weights to criteria having the same priority level, which was neither clarified nor available in the standard ROC. Both proposed techniques revealed that suppliers were the most important criterion, while community was regarded to be the least important criterion in deciding the final location for the date palm factory. Combining the criteria weights together with several hard and soft constraints that were required to be satisfied by the location, the final location was determined using three different mathematical models, namely, the ROC combined with 0-1 integer programming model, the AHP combined with 0-1 integer programming model, and the mean of ROC and AHP combined with 0-1 integer programming model. The three models produced the same result; Doean was the best location. The result of this study, if implemented, would hopefully help the Yemeni government in their effort to improve the production as well as the management of the date palm tree in Hadhramout. 2013 Thesis https://etd.uum.edu.my/3862/ https://etd.uum.edu.my/3862/1/s90773.pdf text eng public https://etd.uum.edu.my/3862/7/s90773.pdf text eng public Ph.D. doctoral Universiti Utara Malaysia Abbas, T. E., Homayonfar, M., Aghaziarati, M., and Arbabiun, P. (2011). A subjective weighting method based on group decision making for ranking and measuring criteria values. Australian Journal of Basic and Applied Sciences, 5(12), 2034-2040. Aguaron, J., and Moreno-Jimenez, J. M., (2003). The geometric consistency index: Approximated thresholds. Journal of Operational Research, 147(1), 137- 145. Akgunduz, A., Zetu, D., Banerjee, P., and Liang, D. (2002). Evaluation of subcomponent alternatives in product design processes. Robotics and Computer Integrated Manufacturing 18(1), 69-81. Alakil, A. M. (2003). 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