메뉴 건너뛰기




Volumn 208, Issue 3, 2011, Pages 206-220

Competitive facility location problem with attractiveness adjustment of the follower: A bilevel programming model and its solution

Author keywords

Bilevel programming; Competitive facility location; Mixed integer nonlinear programming; Variable facility attractiveness

Indexed keywords

BI-LEVEL PROGRAMMING; BILEVEL; BILEVEL PROGRAMMING MODELS; COMPETITIVE FACILITY LOCATION; COMPUTATIONAL RESULTS; GLOBAL OPTIMIZATION METHOD; MIXED INTEGER NONLINEAR PROGRAM; MIXED-INTEGER NONLINEAR PROGRAMMING; OPTIMAL SOLUTIONS; TEST INSTANCES; VARIABLE FACILITY ATTRACTIVENESS;

EID: 78549276117     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2010.08.009     Document Type: Article
Times cited : (102)

References (58)
  • 1
    • 33947168634 scopus 로고    scopus 로고
    • Competitive facility location model with concave demand
    • DOI 10.1016/j.ejor.2005.10.075, PII S0377221706004991
    • R. Aboolian, O. Berman, and D. Krass Competitive facility location model with concave demand European Journal of Operational Research 181 2007 598 619 (Pubitemid 46413589)
    • (2007) European Journal of Operational Research , vol.181 , Issue.2 , pp. 598-619
    • Aboolian, R.1    Berman, O.2    Krass, D.3
  • 2
    • 34147142956 scopus 로고    scopus 로고
    • Competitive facility location and design problem
    • DOI 10.1016/j.ejor.2006.07.021, PII S0377221706008009
    • R. Aboolian, O. Berman, and D. Krass Competitive facility location and design problem European Journal of Operational Research 182 2007 40 62 (Pubitemid 46562554)
    • (2007) European Journal of Operational Research , vol.182 , Issue.1 , pp. 40-62
    • Aboolian, R.1    Berman, O.2    Krass, D.3
  • 5
    • 0032552250 scopus 로고    scopus 로고
    • A global optimization method, αbB, for general twice-differentiable constrained NLPs-I. Theoretical advances
    • C.S. Adjiman, S. Dallwig, C.A. Floudas, and A. Neumaier A global optimization method, αBB, for general twice-differentiable constrained NLPs-I. Theoretical advances Computers and Chemical Engineering 22 9 1998 1137 1158
    • (1998) Computers and Chemical Engineering , vol.22 , Issue.9 , pp. 1137-1158
    • Adjiman, C.S.1    Dallwig, S.2    Floudas, C.A.3    Neumaier, A.4
  • 6
    • 0032552252 scopus 로고    scopus 로고
    • A global optimization method, αbB, for general twice-differentiable constrained NLPs-II. Implementation and computational results
    • C.S. Adjiman, I.P. Androulakis, and C.A. Floudas A global optimization method, αBB, for general twice-differentiable constrained NLPs-II. Implementation and computational results Computers and Chemical Engineering 22 9 1998 1159 1179
    • (1998) Computers and Chemical Engineering , vol.22 , Issue.9 , pp. 1159-1179
    • Adjiman, C.S.1    Androulakis, I.P.2    Floudas, C.A.3
  • 7
    • 0034282316 scopus 로고    scopus 로고
    • Global optimization of mixed-integer nonlinear problems
    • C.S. Adjiman, I.P. Androulakis, and C.A. Floudas Global optimization of mixed-integer nonlinear problems AIChE 46 2000 176 248
    • (2000) AIChE , vol.46 , pp. 176-248
    • Adjiman, C.S.1    Androulakis, I.P.2    Floudas, C.A.3
  • 9
    • 44649141842 scopus 로고    scopus 로고
    • Locating collection centers for incentive-dependent returns under a pick-up policy with capacitated vehicles
    • N. Aras, D. Aksen, and A.G. Tanuur Locating collection centers for incentive-dependent returns under a pick-up policy with capacitated vehicles European Journal of Operational Research 191 3 2008 1223 1240
    • (2008) European Journal of Operational Research , vol.191 , Issue.3 , pp. 1223-1240
    • Aras, N.1    Aksen, D.2    Tanuur, A.G.3
  • 11
    • 0037121485 scopus 로고    scopus 로고
    • The maximum capture problem with random utilities: Problem formulation and algorithms
    • S. Benati, and P. Hansen The maximum capture problem with random utilities: Problem formulation and algorithms European Journal of Operational Research 143 2002 518 530
    • (2002) European Journal of Operational Research , vol.143 , pp. 518-530
    • Benati, S.1    Hansen, P.2
  • 12
    • 0036420960 scopus 로고    scopus 로고
    • Locating multiple competitive facilities: Spatial interaction models with variable expenditures
    • O. Berman, and D. Krass Locating multiple competitive facilities: Spatial interaction models with variable expenditures Annals of Operations Research 111 2002 197 225
    • (2002) Annals of Operations Research , vol.111 , pp. 197-225
    • Berman, O.1    Krass, D.2
  • 13
  • 16
    • 0042737841 scopus 로고    scopus 로고
    • Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints
    • S. Dempe Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints Optimization 52 3 2003 333 359
    • (2003) Optimization , vol.52 , Issue.3 , pp. 333-359
    • Dempe, S.1
  • 17
    • 0020436701 scopus 로고
    • Competitive location strategies for two facilities
    • Z. Drezner Competitive location strategies for two facilities Regional Science and Urban Economics 12 1982 485 493
    • (1982) Regional Science and Urban Economics , vol.12 , pp. 485-493
    • Drezner, Z.1
  • 18
    • 0348177870 scopus 로고    scopus 로고
    • Facility location in anticipation of future competition
    • T. Drezner, and Z. Drezner Facility location in anticipation of future competition Location Science 6 1998 155 173
    • (1998) Location Science , vol.6 , pp. 155-173
    • Drezner, T.1    Drezner, Z.2
  • 19
    • 0036417006 scopus 로고    scopus 로고
    • Validating the gravity-based competitive location model using inferred attractiveness
    • T. Drezner, and Z. Drezner Validating the gravity-based competitive location model using inferred attractiveness Annals of Operations Research 111 2002 227 237
    • (2002) Annals of Operations Research , vol.111 , pp. 227-237
    • Drezner, T.1    Drezner, Z.2
  • 20
    • 4444356225 scopus 로고    scopus 로고
    • Finding the optimal solution to the Huff based competitive location model
    • T. Drezner, and Z. Drezner Finding the optimal solution to the Huff based competitive location model Computational Management Science 2 2004 193 208
    • (2004) Computational Management Science , vol.2 , pp. 193-208
    • Drezner, T.1    Drezner, Z.2
  • 21
    • 33748620284 scopus 로고    scopus 로고
    • Multiple facilities location in the plane using the gravity model
    • T. Drezner, and Z. Drezner Multiple facilities location in the plane using the gravity model Geographical Analysis 38 2006 391 406
    • (2006) Geographical Analysis , vol.38 , pp. 391-406
    • Drezner, T.1    Drezner, Z.2
  • 24
    • 0013585407 scopus 로고
    • An algorithm for the mixed-integer nonlinear bilevel programming problem
    • T.A. Edmunds, and J.F. Bard An algorithm for the mixed-integer nonlinear bilevel programming problem Annals of Operations Research 34 1992 149 162
    • (1992) Annals of Operations Research , vol.34 , pp. 149-162
    • Edmunds, T.A.1    Bard, J.F.2
  • 25
  • 26
    • 33947608210 scopus 로고    scopus 로고
    • Planar location and design of a new facility with inner and outer competition: An interval lexicographical-like solution procedure
    • J. Fernández, B. Pelegrín, F. Plastria, and B. Tóth Planar location and design of a new facility with inner and outer competition: An interval lexicographical-like solution procedure Networks and Spatial Economics 7 2007 19 44
    • (2007) Networks and Spatial Economics , vol.7 , pp. 19-44
    • Fernández, J.1    Pelegrín, B.2    Plastria, F.3    Tóth, B.4
  • 27
    • 0036424969 scopus 로고    scopus 로고
    • Sequential discrete p-facility models for competitive location planning
    • K. Fischer Sequential discrete p-facility models for competitive location planning Annals of Operations Research 111 1-4 2002 253 270
    • (2002) Annals of Operations Research , vol.111 , Issue.14 , pp. 253-270
    • Fischer, K.1
  • 29
    • 0004215426 scopus 로고    scopus 로고
    • Kluwer Academic Publishers Dordrecht, The Netherlands
    • F. Glover, and M. Laguna Tabu Search 1997 Kluwer Academic Publishers Dordrecht, The Netherlands
    • (1997) Tabu Search
    • Glover, F.1    Laguna, M.2
  • 31
    • 0023537773 scopus 로고
    • Active constraint strategy for flexibility analysis in chemical processes
    • I.E. Grossmann, and C.A. Floudas Active constraint strategy for flexibility analysis in chemical processes Computers and Chemical Engineering 11 1987 675 693
    • (1987) Computers and Chemical Engineering , vol.11 , pp. 675-693
    • Grossmann, I.E.1    Floudas, C.A.2
  • 32
    • 22944478664 scopus 로고    scopus 로고
    • Global optimization of mixed-integer bilevel programming problems
    • Z.H. Gümü, and C.A. Floudas Global optimization of mixed-integer bilevel programming problems Computational Management Science 2 2005 181 212
    • (2005) Computational Management Science , vol.2 , pp. 181-212
    • Gümü, Z.H.1    Floudas, C.A.2
  • 33
    • 0002860654 scopus 로고
    • Stability in competition
    • H. Hotelling Stability in competition Economic Journal 39 1929 41 57
    • (1929) Economic Journal , vol.39 , pp. 41-57
    • Hotelling, H.1
  • 34
    • 0002882147 scopus 로고
    • Defining and estimating a trade area
    • D.L. Huff Defining and estimating a trade area Journal of Marketing 28 1964 34 38
    • (1964) Journal of Marketing , vol.28 , pp. 34-38
    • Huff, D.L.1
  • 35
    • 0000581587 scopus 로고
    • A programmed solution for approximating an optimum retail location
    • D.L. Huff A programmed solution for approximating an optimum retail location Land Economics 42 1966 293 303
    • (1966) Land Economics , vol.42 , pp. 293-303
    • Huff, D.L.1
  • 38
    • 0026225122 scopus 로고
    • Market and locational equilibrium for two competitors
    • M. Labbé, and S.L. Hakimi Market and locational equilibrium for two competitors Operations Research 39 5 1991 749 756
    • (1991) Operations Research , vol.39 , Issue.5 , pp. 749-756
    • Labbé, M.1    Hakimi, S.L.2
  • 39
    • 0000437116 scopus 로고
    • Competition of firms: Discriminatory pricing and location
    • P.J. Lederer, and A.P. Hurter Competition of firms: Discriminatory pricing and location Econometrica 54 3 1986 623 640
    • (1986) Econometrica , vol.54 , Issue.3 , pp. 623-640
    • Lederer, P.J.1    Hurter, A.P.2
  • 41
    • 0025434957 scopus 로고
    • Competitive location on networks under delivered pricing
    • P.J. Lederer, and J.-F. Thisse Competitive location on networks under delivered pricing Operations Research Letters 9 1990 147 153
    • (1990) Operations Research Letters , vol.9 , pp. 147-153
    • Lederer, P.J.1    Thisse, J.-F.2
  • 43
    • 0025488373 scopus 로고
    • The mixed-integer linear bilevel programming problem
    • J.T. Moore, and J.F. Bard The mixed-integer linear bilevel programming problem Operations Research 38 1990 911 921
    • (1990) Operations Research , vol.38 , pp. 911-921
    • Moore, J.T.1    Bard, J.F.2
  • 44
    • 0345865112 scopus 로고    scopus 로고
    • All Stackelberg location equilibria in the Hotelling's duopoly model on a tree with parametric prices
    • M.D.G. Pérez, and B. Pelegrín All Stackelberg location equilibria in the Hotelling's duopoly model on a tree with parametric prices Annals of Operations Research 122 1-4 2003 177 192
    • (2003) Annals of Operations Research , vol.122 , Issue.14 , pp. 177-192
    • Pérez, M.D.G.1    Pelegrín, B.2
  • 46
    • 34548512025 scopus 로고    scopus 로고
    • Discrete models for competitive location with foresight
    • F. Plastria, and L. Vanhaverbeke Discrete models for competitive location with foresight Computers and Operations Research 35 3 2008 683 700
    • (2008) Computers and Operations Research , vol.35 , Issue.3 , pp. 683-700
    • Plastria, F.1    Vanhaverbeke, L.2
  • 50
    • 67349113531 scopus 로고    scopus 로고
    • On a branch-and-bound approach for a Huff-like Stackelberg location problem
    • M.E. Sáiz, E.M.T. Hendrix, J. Fernández, and B. Pelegrín On a branch-and-bound approach for a Huff-like Stackelberg location problem OR Spectrum 31 3 2009 679 705
    • (2009) OR Spectrum , vol.31 , Issue.3 , pp. 679-705
    • Sáiz, M.E.1    Hendrix, E.M.T.2    Fernández, J.3    Pelegrín, B.4
  • 51
    • 0030840236 scopus 로고    scopus 로고
    • Location equilibrium for Cournot oligopoly in spatially separated markets
    • J. Sarkar, B. Gupta, and D. Pal Location equilibrium for cournot oligopoly in spatially separated markets Journal of Regional Science 37 2 1997 195 212 (Pubitemid 27502475)
    • (1997) Journal of Regional Science , vol.37 , Issue.2 , pp. 195-212
    • Sarkar, J.1    Gupta, B.2    Pal, D.3
  • 53
    • 78349239414 scopus 로고
    • Market Capture by Two Competitors: The Pre-emptive Location Problem
    • Serra, D., ReVelle, C., 1993. Market Capture by Two Competitors: The Pre-emptive Location Problem. Economics Working Paper Series, 1993, p. 39.
    • (1993) Economics Working Paper Series , pp. 39
    • Serra, D.1    Revelle, C.2
  • 54
    • 71149099082 scopus 로고    scopus 로고
    • A Stackelberg-Nash model for new product design
    • W.J. Steiner A Stackelberg-Nash model for new product design OR Spectrum 32 2010 21 48
    • (2010) OR Spectrum , vol.32 , pp. 21-48
    • Steiner, W.J.1
  • 55
    • 55749101149 scopus 로고    scopus 로고
    • Sequential versus simultaneous approach in the location and design of two new facilities using planar Huff-like models
    • B. Tóth, J. Fernández, B. Pelegrín, and F. Plastria Sequential versus simultaneous approach in the location and design of two new facilities using planar Huff-like models Computers and Operations Research 36 2009 1393 1405
    • (2009) Computers and Operations Research , vol.36 , pp. 1393-1405
    • Tóth, B.1    Fernández, J.2    Pelegrín, B.3    Plastria, F.4
  • 56
    • 0025228170 scopus 로고
    • Algorithms for solving the mixed integer two-level linear programming problem
    • U.P. Wen, and Y.H. Yang Algorithms for solving the mixed integer two-level linear programming problem Computers and Operations Research 17 2 1990 133 142
    • (1990) Computers and Operations Research , vol.17 , Issue.2 , pp. 133-142
    • Wen, U.P.1    Yang, Y.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.