How to cite this paper
Ashtiani, M. (2016). Competitive location: a state-of-art review.International Journal of Industrial Engineering Computations , 7(1), 1-18.
Refrences
Aboolian, R., Berman, O., & Krass, D. (2007a). Competitive facility location and design problem. European Journal of Operational Research, 182(1), 40-62.
Aboolian, R., Berman, O., & Krass, D. (2007b). Competitive facility location model with concave demand. European Journal of Operational Research, 181(2), 598-619.
Aboolian, R., Berman, O., & Krass, D. (2008). Optimizing pricing and location decisions for competitive service facilities charging uniform price. Journal of the Operational Research Society, 59(11), 1506-1519.
Aboolian, R., Berman, O., & Krass, D. (2009). Efficient solution approaches for a discrete multi-facility competitive interaction model. Annals of Operations Research, 167(1), 297-306.
Alekseeva, E., Kochetov, Y., & Plyasunov, A. (2013). An exact method for the discrete (r| p)-centroid problem. Journal of Global Optimization, 1-16.
Arrondo, A. G., Fern?ndez, J., Redondo, J. L., & Ortigosa, P. M. (2014a). An approach for solving competitive location problems with variable demand using multicore systems. Optimization Letters, 8(2), 555-567.
Arrondo, A. G., Redondo, J. L., Fern?ndez, J., & Ortigosa, P. M. (2014b). Solving a leader–follower facility problem via parallel evolutionary approaches. The Journal of Supercomputing, 70(2), 600-611.
Arrondo, A. G., Redondo, J. L., Fern?ndez, J., & Ortigosa, P. M. (2015). Parallelization of a non-linear multi-objective optimization algorithm: Application to a location problem. Applied Mathematics and Computation, 255, 114-124.
Ashtiani, M., Makui, A., & Ramezanian, R. (2011). Huff-type competitive facility location model with foresight in a discrete space. Management Science Letters, 1(1), 1-12.
Ashtiani, M. G., Makui, A., & Ramezanian, R. (2013). A robust model for a leader–follower competitive facility location problem in a discrete space. Applied Mathematical Modelling, 37(1), 62-71.
Bello, L., Blanquero, R., & Carrizosa, E. (2011). On minimax-regret Huff location models. Computers & Operations Research, 38(1), 90-97.
Benati, S., & Hansen, P. (2002). The maximum capture problem with random utilities: Problem formulation and algorithms. European Journal of Operational Research, 143(3), 518-530.
Beresnev, V. L. (2009). Upper bounds for objective functions of discrete competitive facility location problems. Journal of Applied and Industrial Mathematics, 3(4), 419-432.
Beresnev, V. L. (2012). Local search algorithms for the problem of competitive location of enterprises. Automation and Remote Control, 73(3), 425-439.
Beresnev, V. (2013). Branch-and-bound algorithm for a competitive facility location problem. Computers & Operations Research, 40(8), 2062-2070.
Beresnev, V. L., & Mel’nikov, A. A. (2011). Approximate algorithms for the competitive facility location problem. Journal of Applied and Industrial Mathematics, 5(2), 180-190.
Berman, O., & Krass, D. (2002). Locating multiple competitive facilities: spatial interaction models with variable expenditures. Annals of Operations Research, 111(1-4), 197-225.
Bhadury, J., Eiselt, H. A., & Jaramillo, J. H. (2003). An alternating heuristic for medianoid and centroid problems in the plane. Computers & Operations Research, 30(4), 553-565.
Bhattacharya, B. B., & Nandy, S. C. (2013). New variations of the maximum coverage facility location problem. European Journal of Operational Research, 224(3), 477-485.
Biesinger, B., Hu, B., & Raidl, G. (2014a). A hybrid genetic algorithm with solution archive for the discrete (r| p)-centroid problem. Journal of Heuristics, 1-41.
Biesinger, B., Hu, B., & Raidl, G. (2014b). An evolutionary algorithm for the leader-follower facility location problem with proportional customer behavior. In Learning and Intelligent Optimization (pp. 203-217). Springer International Publishing.
Biesinger, B., Hu, B., & Raidl, G. (2014c). Models and algorithms for competitive facility location problems with different customer behavior. Annals of Mathematics and Artificial Intelligence, 1-27.
Bozkaya, B., Yanik, S., & Balcisoy, S. (2010). A GIS-based optimization framework for competitive multi-facility location-routing problem. Networks and Spatial Economics, 10(3), 297-320.
Dasci, A., & Laporte, G. (2005). A continuous model for multistore competitive location. Operations Research, 53(2), 263-280.
Davydov, I., Kochetov, Y., & Carrizosa, E. (2014a). A Local Search Heuristic for the (r| p)-Centroid Problem in the Plane. Computers & Operations Research, 52, 334-340.
Davydov, I. A., Kochetov, Y. A., Mladenovic, N., & Urosevic, D. (2014b). Fast metaheuristics for the discrete (r| p)-centroid problem. Automation and Remote Control, 75(4), 677-687.
Drezner, T. (2009). Location of retail facilities under conditions of uncertainty. Annals of Operations Research, 167(1), 107-120.
Drezner, T. (2010). Cannibalization in a competitive environment. International Regional Science Review, 0160017610389328.
Drezner, T. (2014). A review of competitive facility location in the plane. Logistics Research, 7(1), 1-12.
Drezner, T., & Drezner, Z. (2002). Retail facility location under changing market conditions. IMA Journal of Management Mathematics, 13(4), 283-302.
Drezner, T., & Drezner, Z. (2004). Finding the optimal solution to the Huff based competitive location model. Computational Management Science, 1(2), 193-208.
Drezner, T., & Drezner, Z. (2008). Lost demand in a competitive environment. Journal of the Operational Research Society, 59(3), 362-371.
Drezner, T., & Drezner, Z. (2012). Modelling lost demand in competitive facility location. Journal of the Operational Research Society, 63(2), 201-206.
Drezner, T., & Drezner, Z. (2014). Sequential location of two facilities: comparing random to optimal location of the first facility. Annals of Operations Research, 1-14.
Drezner, T., Drezner, Z., & Kalczynski, P. (2011). A cover-based competitive location model. Journal of the Operational Research Society, 62(1), 100-113.
Drezner, T., Drezner, Z., & Kalczynski, P. (2012). Strategic competitive location: improving existing and establishing new facilities. Journal of the Operational Research Society, 63(12), 1720-1730.
Drezner, T., Drezner, Z., & Kalczynski, P. (2015). A leader-follower model for discrete competitive facility location. Computers & Operations Research.
Drezner, T., Drezner, Z., & Salhi, S. (2002a). Solving the multiple competitive facilities location problem. European Journal of Operational Research, 142(1), 138-151.
Drezner, T., Drezner, Z., & Shiode, S. (2002b). A Threshold?Satisfying Competitive Location Model. Journal of Regional Science, 42(2), 287-299.
Drezner, Z (1995). Facility location: A survey of applications and theory. Springer, Berlin
Drezner, Z., Suzuki, A., & Drezner, T. (2007). Locating multiple facilities in a planar competitive environment. Journal of the Operations Research Society of Japan, 50, 249-62.
Eiselt, H. A., Laporte, G., & Thisse, J. F. (1993). Competitive location models: A framework and bibliography. Transportation Science, 27(1), 44-54.Hotelling, H., (1929), Stability in competition, The Economic Journal. 30, 41–57.
Fern?ndez, J., Pelegr?n, B., Plastria, F., & T?th, B. (2007a). Planar location and design of a new facility with inner and outer competition: an interval lexicographical-like solution procedure. Networks and spatial economics, 7(1), 19-44.
Fern?ndez, J., Pelegr?, B., Plastria, F., & T?th, B. (2007b). Solving a Huff-like competitive location and design model for profit maximization in the plane. European Journal of Operational Research, 179(3), 1274-1287.
Fern?ndez, J., Salhi, S., & Bogl?rka, G. (2014). Location equilibria for a continuous competitive facility location problem under delivered pricing. Computers & Operations Research, 41, 185-195.
Fernandez, J., Toth, B., Plastria, F., & Pelegr?n, B. (2006). Reconciling franchisor and franchisee: a planar biobjective competitive location and design model. In Recent Advances in Optimization (pp. 375-398). Springer Berlin Heidelberg.
Fischer, K. (2002). Sequential discrete p-facility models for competitive location planning. Annals of Operations Research, 111(1), 253-270.
Fu, K., Miao, Z., & Xu, J. (2013). On planar medianoid competitive location problems with manhattan distance. Asia-Pacific Journal of Operational Research, 30(02), 1250050.
Godinho, P., & Dias, J. (2010). A two-player competitive discrete location model with simultaneous decisions. European Journal of Operational Research, 207(3), 1419-1432.
Godinho, P., & Dias, J. (2013). Two-player simultaneous location game: Preferential rights and overbidding. European Journal of Operational Research, 229(3), 663-672.
Hendrix, E. M. (2015). On competition in a Stackelberg location-design model with deterministic supplier choice. Annals of Operations Research, 1-12.
Hotelling, H., (1929), Stability in competition, The Economic Journal. 30, 41–57.
Huff D.L., (1964), Defining and estimating a trading area, The Journal of Marketing. 28(3), 34–38.
Kononov, A. V., Kochetov, Y. A., & Plyasunov, A. V. (2009). Competitive facility location models. Computational Mathematics and Mathematical Physics, 49(6), 994-1009.
Konur, D., & Geunes, J. (2012). Competitive multi-facility location games with non-identical firms and convex traffic congestion costs. Transportation Research Part E: Logistics and Transportation Review, 48(1), 373-385.
Küçükayd?n, H., Aras, N., & Alt?nel, ?. K. (2011a). A discrete competitive facility location model with variable attractiveness. Journal of the Operational Research Society, 62(9), 1726-1741.
Küçükaydin, H., Aras, N., & Alt?nel, I. K. (2011b). Competitive facility location problem with attractiveness adjustment of the follower: A bilevel programming model and its solution. European Journal of Operational Research, 208(3), 206-220.
Küçükayd?n, H., Aras, N., & Alt?nel, ?. K. (2012). A leader–follower game in competitive facility location. Computers & Operations Research, 39(2), 437-448.
Kwasnica, A. M., & Stavrulaki, E. (2008). Competitive location and capacity decisions for firms serving time?sensitive customers. Naval Research Logistics (NRL), 55(7), 704-721.
Lan?inskas, A., Ortigosa, P. M., & ?ilinskas, J. (2014, January). Parallel Shared-Memory Multi-Objective Stochastic Search for Competitive Facility Location. In Euro-Par 2014: Parallel Processing Workshops (pp. 71-82). Springer International Publishing.
Lee, G., & O’Kelly, M. E. (2011). Competitive location modeling with a rank proportional allocation. Environment and Planning-Part B, 38(3), 411.
McGarvey, R. G., & Cavalier, T. M. (2005). Constrained location of competitive facilities in the plane. Computers & Operations Research, 32(2), 359-378.
Mel’nikov, A. A. (2014). Randomized local search for the discrete competitive facility location problem. Automation and Remote Control, 75(4), 700-714.
Miliotis, P., Dimopoulou, M., & Giannikos, I. (2002). A hierarchical location model for locating bank branches in a competitive environment. International transactions in operational research, 9(5), 549-565.
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Aboolian, R., Berman, O., & Krass, D. (2007b). Competitive facility location model with concave demand. European Journal of Operational Research, 181(2), 598-619.
Aboolian, R., Berman, O., & Krass, D. (2008). Optimizing pricing and location decisions for competitive service facilities charging uniform price. Journal of the Operational Research Society, 59(11), 1506-1519.
Aboolian, R., Berman, O., & Krass, D. (2009). Efficient solution approaches for a discrete multi-facility competitive interaction model. Annals of Operations Research, 167(1), 297-306.
Alekseeva, E., Kochetov, Y., & Plyasunov, A. (2013). An exact method for the discrete (r| p)-centroid problem. Journal of Global Optimization, 1-16.
Arrondo, A. G., Fern?ndez, J., Redondo, J. L., & Ortigosa, P. M. (2014a). An approach for solving competitive location problems with variable demand using multicore systems. Optimization Letters, 8(2), 555-567.
Arrondo, A. G., Redondo, J. L., Fern?ndez, J., & Ortigosa, P. M. (2014b). Solving a leader–follower facility problem via parallel evolutionary approaches. The Journal of Supercomputing, 70(2), 600-611.
Arrondo, A. G., Redondo, J. L., Fern?ndez, J., & Ortigosa, P. M. (2015). Parallelization of a non-linear multi-objective optimization algorithm: Application to a location problem. Applied Mathematics and Computation, 255, 114-124.
Ashtiani, M., Makui, A., & Ramezanian, R. (2011). Huff-type competitive facility location model with foresight in a discrete space. Management Science Letters, 1(1), 1-12.
Ashtiani, M. G., Makui, A., & Ramezanian, R. (2013). A robust model for a leader–follower competitive facility location problem in a discrete space. Applied Mathematical Modelling, 37(1), 62-71.
Bello, L., Blanquero, R., & Carrizosa, E. (2011). On minimax-regret Huff location models. Computers & Operations Research, 38(1), 90-97.
Benati, S., & Hansen, P. (2002). The maximum capture problem with random utilities: Problem formulation and algorithms. European Journal of Operational Research, 143(3), 518-530.
Beresnev, V. L. (2009). Upper bounds for objective functions of discrete competitive facility location problems. Journal of Applied and Industrial Mathematics, 3(4), 419-432.
Beresnev, V. L. (2012). Local search algorithms for the problem of competitive location of enterprises. Automation and Remote Control, 73(3), 425-439.
Beresnev, V. (2013). Branch-and-bound algorithm for a competitive facility location problem. Computers & Operations Research, 40(8), 2062-2070.
Beresnev, V. L., & Mel’nikov, A. A. (2011). Approximate algorithms for the competitive facility location problem. Journal of Applied and Industrial Mathematics, 5(2), 180-190.
Berman, O., & Krass, D. (2002). Locating multiple competitive facilities: spatial interaction models with variable expenditures. Annals of Operations Research, 111(1-4), 197-225.
Bhadury, J., Eiselt, H. A., & Jaramillo, J. H. (2003). An alternating heuristic for medianoid and centroid problems in the plane. Computers & Operations Research, 30(4), 553-565.
Bhattacharya, B. B., & Nandy, S. C. (2013). New variations of the maximum coverage facility location problem. European Journal of Operational Research, 224(3), 477-485.
Biesinger, B., Hu, B., & Raidl, G. (2014a). A hybrid genetic algorithm with solution archive for the discrete (r| p)-centroid problem. Journal of Heuristics, 1-41.
Biesinger, B., Hu, B., & Raidl, G. (2014b). An evolutionary algorithm for the leader-follower facility location problem with proportional customer behavior. In Learning and Intelligent Optimization (pp. 203-217). Springer International Publishing.
Biesinger, B., Hu, B., & Raidl, G. (2014c). Models and algorithms for competitive facility location problems with different customer behavior. Annals of Mathematics and Artificial Intelligence, 1-27.
Bozkaya, B., Yanik, S., & Balcisoy, S. (2010). A GIS-based optimization framework for competitive multi-facility location-routing problem. Networks and Spatial Economics, 10(3), 297-320.
Dasci, A., & Laporte, G. (2005). A continuous model for multistore competitive location. Operations Research, 53(2), 263-280.
Davydov, I., Kochetov, Y., & Carrizosa, E. (2014a). A Local Search Heuristic for the (r| p)-Centroid Problem in the Plane. Computers & Operations Research, 52, 334-340.
Davydov, I. A., Kochetov, Y. A., Mladenovic, N., & Urosevic, D. (2014b). Fast metaheuristics for the discrete (r| p)-centroid problem. Automation and Remote Control, 75(4), 677-687.
Drezner, T. (2009). Location of retail facilities under conditions of uncertainty. Annals of Operations Research, 167(1), 107-120.
Drezner, T. (2010). Cannibalization in a competitive environment. International Regional Science Review, 0160017610389328.
Drezner, T. (2014). A review of competitive facility location in the plane. Logistics Research, 7(1), 1-12.
Drezner, T., & Drezner, Z. (2002). Retail facility location under changing market conditions. IMA Journal of Management Mathematics, 13(4), 283-302.
Drezner, T., & Drezner, Z. (2004). Finding the optimal solution to the Huff based competitive location model. Computational Management Science, 1(2), 193-208.
Drezner, T., & Drezner, Z. (2008). Lost demand in a competitive environment. Journal of the Operational Research Society, 59(3), 362-371.
Drezner, T., & Drezner, Z. (2012). Modelling lost demand in competitive facility location. Journal of the Operational Research Society, 63(2), 201-206.
Drezner, T., & Drezner, Z. (2014). Sequential location of two facilities: comparing random to optimal location of the first facility. Annals of Operations Research, 1-14.
Drezner, T., Drezner, Z., & Kalczynski, P. (2011). A cover-based competitive location model. Journal of the Operational Research Society, 62(1), 100-113.
Drezner, T., Drezner, Z., & Kalczynski, P. (2012). Strategic competitive location: improving existing and establishing new facilities. Journal of the Operational Research Society, 63(12), 1720-1730.
Drezner, T., Drezner, Z., & Kalczynski, P. (2015). A leader-follower model for discrete competitive facility location. Computers & Operations Research.
Drezner, T., Drezner, Z., & Salhi, S. (2002a). Solving the multiple competitive facilities location problem. European Journal of Operational Research, 142(1), 138-151.
Drezner, T., Drezner, Z., & Shiode, S. (2002b). A Threshold?Satisfying Competitive Location Model. Journal of Regional Science, 42(2), 287-299.
Drezner, Z (1995). Facility location: A survey of applications and theory. Springer, Berlin
Drezner, Z., Suzuki, A., & Drezner, T. (2007). Locating multiple facilities in a planar competitive environment. Journal of the Operations Research Society of Japan, 50, 249-62.
Eiselt, H. A., Laporte, G., & Thisse, J. F. (1993). Competitive location models: A framework and bibliography. Transportation Science, 27(1), 44-54.Hotelling, H., (1929), Stability in competition, The Economic Journal. 30, 41–57.
Fern?ndez, J., Pelegr?n, B., Plastria, F., & T?th, B. (2007a). Planar location and design of a new facility with inner and outer competition: an interval lexicographical-like solution procedure. Networks and spatial economics, 7(1), 19-44.
Fern?ndez, J., Pelegr?, B., Plastria, F., & T?th, B. (2007b). Solving a Huff-like competitive location and design model for profit maximization in the plane. European Journal of Operational Research, 179(3), 1274-1287.
Fern?ndez, J., Salhi, S., & Bogl?rka, G. (2014). Location equilibria for a continuous competitive facility location problem under delivered pricing. Computers & Operations Research, 41, 185-195.
Fernandez, J., Toth, B., Plastria, F., & Pelegr?n, B. (2006). Reconciling franchisor and franchisee: a planar biobjective competitive location and design model. In Recent Advances in Optimization (pp. 375-398). Springer Berlin Heidelberg.
Fischer, K. (2002). Sequential discrete p-facility models for competitive location planning. Annals of Operations Research, 111(1), 253-270.
Fu, K., Miao, Z., & Xu, J. (2013). On planar medianoid competitive location problems with manhattan distance. Asia-Pacific Journal of Operational Research, 30(02), 1250050.
Godinho, P., & Dias, J. (2010). A two-player competitive discrete location model with simultaneous decisions. European Journal of Operational Research, 207(3), 1419-1432.
Godinho, P., & Dias, J. (2013). Two-player simultaneous location game: Preferential rights and overbidding. European Journal of Operational Research, 229(3), 663-672.
Hendrix, E. M. (2015). On competition in a Stackelberg location-design model with deterministic supplier choice. Annals of Operations Research, 1-12.
Hotelling, H., (1929), Stability in competition, The Economic Journal. 30, 41–57.
Huff D.L., (1964), Defining and estimating a trading area, The Journal of Marketing. 28(3), 34–38.
Kononov, A. V., Kochetov, Y. A., & Plyasunov, A. V. (2009). Competitive facility location models. Computational Mathematics and Mathematical Physics, 49(6), 994-1009.
Konur, D., & Geunes, J. (2012). Competitive multi-facility location games with non-identical firms and convex traffic congestion costs. Transportation Research Part E: Logistics and Transportation Review, 48(1), 373-385.
Küçükayd?n, H., Aras, N., & Alt?nel, ?. K. (2011a). A discrete competitive facility location model with variable attractiveness. Journal of the Operational Research Society, 62(9), 1726-1741.
Küçükaydin, H., Aras, N., & Alt?nel, I. K. (2011b). Competitive facility location problem with attractiveness adjustment of the follower: A bilevel programming model and its solution. European Journal of Operational Research, 208(3), 206-220.
Küçükayd?n, H., Aras, N., & Alt?nel, ?. K. (2012). A leader–follower game in competitive facility location. Computers & Operations Research, 39(2), 437-448.
Kwasnica, A. M., & Stavrulaki, E. (2008). Competitive location and capacity decisions for firms serving time?sensitive customers. Naval Research Logistics (NRL), 55(7), 704-721.
Lan?inskas, A., Ortigosa, P. M., & ?ilinskas, J. (2014, January). Parallel Shared-Memory Multi-Objective Stochastic Search for Competitive Facility Location. In Euro-Par 2014: Parallel Processing Workshops (pp. 71-82). Springer International Publishing.
Lee, G., & O’Kelly, M. E. (2011). Competitive location modeling with a rank proportional allocation. Environment and Planning-Part B, 38(3), 411.
McGarvey, R. G., & Cavalier, T. M. (2005). Constrained location of competitive facilities in the plane. Computers & Operations Research, 32(2), 359-378.
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