Location-Allocation in the Two Conditions of Candidate and Non-Candidate Places with Fuzzy Relations between Facilities Using Euclidean Square Method
ABSTRACT
Nowadays, identification, ranking criteria and location of services are important in the planning and designing of city. In fact, it helps the authorities and managers make better decisions in selecting the best locations to establish urban service centers. The issue of access to urban services is kind of important issue that affects various dimensions of the city. Laboratory service is an example of this kind that the necessity of access to them is crucial for everyone. Decision making to locate the lab is not only necessary in terms of services and costs to users but also, it is essential in the development of city and the spatial distribution pattern of demand. In this paper, the goal was to determine laboratories location using Euclidean square and fuzzy logic, by two different methods to examine and desirable locations for future planning. Also, selected locations for laboratories are significant considering the improvement of service and reducing the cost and time of access to public.
Nowadays, identification, ranking criteria and location of services are important in the planning and designing of city. In fact, it helps the authorities and managers make better decisions in selecting the best locations to establish urban service centers. The issue of access to urban services is kind of important issue that affects various dimensions of the city. Laboratory service is an example of this kind that the necessity of access to them is crucial for everyone. Decision making to locate the lab is not only necessary in terms of services and costs to users but also, it is essential in the development of city and the spatial distribution pattern of demand. In this paper, the goal was to determine laboratories location using Euclidean square and fuzzy logic, by two different methods to examine and desirable locations for future planning. Also, selected locations for laboratories are significant considering the improvement of service and reducing the cost and time of access to public.
Cite this paper
Rad, N. , Razdar, M. , Heidarizadeh, R. and Mirzazadeh, A. (2015) Location-Allocation in the Two Conditions of Candidate and Non-Candidate Places with Fuzzy Relations between Facilities Using Euclidean Square Method. Applied Mathematics, 6, 1918-1925. doi: 10.4236/am.2015.611169.
Rad, N. , Razdar, M. , Heidarizadeh, R. and Mirzazadeh, A. (2015) Location-Allocation in the Two Conditions of Candidate and Non-Candidate Places with Fuzzy Relations between Facilities Using Euclidean Square Method. Applied Mathematics, 6, 1918-1925. doi: 10.4236/am.2015.611169.
References
[1] Wen, M.L. and Iwamura, K. (2007) Facility Location-Allocation Problem in Random Fuzzy Environment: Using (α, β)-Cost Minimization Model under the Hurewicz Criterion. Computers & Mathematics with Applications, 55, 704-713.
http://dx.doi.org/10.1016/j.camwa.2007.03.026 [2] Rahman, S. and Smith, D.K. (1999) Deployment of Rural Health Facilities in a Developing Country. Journal of the Operational Research Society, 50, 892-902.
http://dx.doi.org/10.1057/palgrave.jors.2600795 [3] Zadeh, L.A. (1965) Fuzzy Sets. Information and Control, 8, 338-353.
http://dx.doi.org/10.1016/S0019-9958(65)90241-X [4] Wen, M.L. and Iwamura, K. (2008) Fuzzy Facility Location-Allocation Problem under the Hurwicz Criterion. European Journal of Operational Research, 184, 627-635.
http://dx.doi.org/10.1016/j.ejor.2006.11.029 [5] Harper, P.R., Shahani, A.K., Gallagher, J.E. and Bowie, C. (2005) Planning Health Services with Explicit Geographical Considerations: A Stochastic Location-Allocation Approach. Omega, 33, 141-152.
http://dx.doi.org/10.1016/j.omega.2004.03.011 [6] Fathali, J. and Jamalian, A. (2012) Locating Multiple Facilities in Convex Sets with Fuzzy Data and Block Norms. Applied Mathematics, 3, 1950.
http://dx.doi.org/10.4236/am.2012.312267 [7] Ezzati, R., Khezerloo, S. and Yousefzadeh, A. (2012) Solving Fully Fuzzy Linear System of Equations in General Form. Journal of Fuzzy Valued Analysis, 11.
http://dx.doi.org/10.5899/2012/jfsva-00117 [8] Muruganandam, S. and Abdul Razak, K. (2013) Matrix Inversion Method for Solving Fully Fuzzy Linear Systems with Triangular Fuzzy Numbers. International Journal of Computer Applications, 65. [9] Tohidi, H. (2015) Fuzzy Linear Programing and A Model for Locating New Facilities among the Existing Facilities. Indian Journal of Fundamental and Applied Life Sciences, 5, 224-234. [10] Daskin, M.S. and Dean, L.K. (2004) Location of Health Care Facilities. Operations Research and Health Care, Springer. [11] Harper, P.R. and Shahani, A.K. (2002) Modelling for the Planning and Management of Bed Capacities in Hospitals. Journal of the Operational Research Society, 11-18.
http://dx.doi.org/10.1057/palgrave/jors/2601278 [12] Saravanan, S., Sabari, A. and Geetha, M. (2014) Fuzzy-Based Approach to Predict Accident Risk on Road Network. International Journal of Emerging Technology and Advanced Engineering. [13] Azadivar, F. and Wang, J. (2000) Facility Layout Optimization Using Simulation and Genetic Algorithms. International Journal of Production Research, 38, 4369-4383.
http://dx.doi.org/10.1080/00207540050205154 [14] Bashiri, M. (2008) Facilities Planning (Location & Layout). Shahed University.
[1] Wen, M.L. and Iwamura, K. (2007) Facility Location-Allocation Problem in Random Fuzzy Environment: Using (α, β)-Cost Minimization Model under the Hurewicz Criterion. Computers & Mathematics with Applications, 55, 704-713.
http://dx.doi.org/10.1016/j.camwa.2007.03.026 [2] Rahman, S. and Smith, D.K. (1999) Deployment of Rural Health Facilities in a Developing Country. Journal of the Operational Research Society, 50, 892-902.
http://dx.doi.org/10.1057/palgrave.jors.2600795 [3] Zadeh, L.A. (1965) Fuzzy Sets. Information and Control, 8, 338-353.
http://dx.doi.org/10.1016/S0019-9958(65)90241-X [4] Wen, M.L. and Iwamura, K. (2008) Fuzzy Facility Location-Allocation Problem under the Hurwicz Criterion. European Journal of Operational Research, 184, 627-635.
http://dx.doi.org/10.1016/j.ejor.2006.11.029 [5] Harper, P.R., Shahani, A.K., Gallagher, J.E. and Bowie, C. (2005) Planning Health Services with Explicit Geographical Considerations: A Stochastic Location-Allocation Approach. Omega, 33, 141-152.
http://dx.doi.org/10.1016/j.omega.2004.03.011 [6] Fathali, J. and Jamalian, A. (2012) Locating Multiple Facilities in Convex Sets with Fuzzy Data and Block Norms. Applied Mathematics, 3, 1950.
http://dx.doi.org/10.4236/am.2012.312267 [7] Ezzati, R., Khezerloo, S. and Yousefzadeh, A. (2012) Solving Fully Fuzzy Linear System of Equations in General Form. Journal of Fuzzy Valued Analysis, 11.
http://dx.doi.org/10.5899/2012/jfsva-00117 [8] Muruganandam, S. and Abdul Razak, K. (2013) Matrix Inversion Method for Solving Fully Fuzzy Linear Systems with Triangular Fuzzy Numbers. International Journal of Computer Applications, 65. [9] Tohidi, H. (2015) Fuzzy Linear Programing and A Model for Locating New Facilities among the Existing Facilities. Indian Journal of Fundamental and Applied Life Sciences, 5, 224-234. [10] Daskin, M.S. and Dean, L.K. (2004) Location of Health Care Facilities. Operations Research and Health Care, Springer. [11] Harper, P.R. and Shahani, A.K. (2002) Modelling for the Planning and Management of Bed Capacities in Hospitals. Journal of the Operational Research Society, 11-18.
http://dx.doi.org/10.1057/palgrave/jors/2601278 [12] Saravanan, S., Sabari, A. and Geetha, M. (2014) Fuzzy-Based Approach to Predict Accident Risk on Road Network. International Journal of Emerging Technology and Advanced Engineering. [13] Azadivar, F. and Wang, J. (2000) Facility Layout Optimization Using Simulation and Genetic Algorithms. International Journal of Production Research, 38, 4369-4383.
http://dx.doi.org/10.1080/00207540050205154 [14] Bashiri, M. (2008) Facilities Planning (Location & Layout). Shahed University.