메뉴 건너뛰기




Volumn 128, Issue 1-2, 2011, Pages 373-401

On the structure of the solution set for the single facility location problem with average distances

Author keywords

90C46; 90C90; Mathematics Subject Classification (2000): 90B85

Indexed keywords

90C46; 90C90; APPROXIMATE SOLUTION; AVERAGE DISTANCE; BOUNDED COMPLEXITY; CONTINUOUS SINGLE FACILITY LOCATION PROBLEMS; DISCRETIZATION SCHEME; EFFICIENT ALGORITHM; LOCATION PROBLEMS; MATHEMATICS SUBJECT CLASSIFICATION (2000): 90B85; OPTIMAL SOLUTIONS; SINGLE FACILITY LOCATION PROBLEM; SOLUTION SET;

EID: 79957967277     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-009-0308-3     Document Type: Article
Times cited : (23)

References (36)
  • 2
    • 0000611135 scopus 로고
    • Absolute and monotonic norms
    • 130104 0111.01602 10.1007/BF01386026
    • F.L. Bauer J. Stoer C. Witzgall 1961 Absolute and monotonic norms Numer. Math. 3 257 264 130104 0111.01602 10.1007/BF01386026
    • (1961) Numer. Math. , vol.3 , pp. 257-264
    • Bauer, F.L.1    Stoer, J.2    Witzgall, C.3
  • 3
    • 0033881788 scopus 로고    scopus 로고
    • Facility location with closest rectangular distances
    • DOI 10.1002/(SICI)1520-6750(200002)47:1<77::AID-NAV5>3.0.CO;2-#
    • J. Brimberg G.O. Wesolowsky 2000 Note: facility location with closest rectangular distances Nav. Res. Logist. 47 77 84 1736292 0953.90033 10.1002/(SICI)1520-6750(200002)47:1<77::AID-NAV5>3.0.CO;2-# (Pubitemid 30542456)
    • (2000) Naval Research Logistics , vol.47 , Issue.1 , pp. 77-84
    • Brimberg, J.1    Wesolowsky, G.O.2
  • 4
    • 0036567960 scopus 로고    scopus 로고
    • Locating facilities by minimax relative to closest points of demand areas
    • DOI 10.1016/S0305-0548(00)00106-4, PII S0305054800001064, Location analysis
    • J. Brimberg G.O. Wesolowsky 2002 Locating facilities by minimax relative to closest points of demand areas Comp. Oper. Res. 29 625 636 1884270 1001.90042 10.1016/S0305-0548(00)00106-4 (Pubitemid 34099409)
    • (2002) Computers and Operations Research , vol.29 , Issue.6 , pp. 625-636
    • Brimberg, J.1    Wesolowsky, G.O.2
  • 5
    • 0036421122 scopus 로고    scopus 로고
    • Minisum location with closest Euclidean distances
    • DOI 10.1023/A:1020901719463
    • J. Brimberg G.O. Wesolowsky 2002 Minisum location with closest Euclidean distances Ann. Oper. Res. 111 151 165 1954667 1040.90020 10.1023/A:1020901719463 (Pubitemid 37132264)
    • (2002) Annals of Operations Research , vol.111 , Issue.1-4 , pp. 151-165
    • Brimberg, J.1    Wesolowsky, G.O.2
  • 8
    • 0031651425 scopus 로고    scopus 로고
    • A note on the optimal positioning of service units
    • E. Carrizosa M. Muñoz J. Puerto 1998 A note on the optimal positioning of service units Oper. Res. 46 1 155 156 1658645 0979.90086 10.1287/opre.46.1.155 (Pubitemid 128665781)
    • (1998) Operations Research , vol.46 , Issue.1 , pp. 155-156
    • Carrizosa, E.1    Munoz-Marquez, M.2    Puerto, J.3
  • 9
    • 0008148565 scopus 로고
    • The generalized Weber problem with expected distances
    • 1321539 0835.90040
    • E. Carrizosa E. Conde M. Muñoz J. Puerto 1995 The generalized Weber problem with expected distances RAIRO Rech. oper. 29 35 57 1321539 0835.90040
    • (1995) RAIRO Rech. Oper. , vol.29 , pp. 35-57
    • Carrizosa, E.1    Conde, E.2    Muñoz, M.3    Puerto, J.4
  • 10
    • 0008148564 scopus 로고
    • Location of regional facilities
    • 0593.90029 10.1002/nav.3800330316
    • Z. Drezner 1986 Location of regional facilities Nav. Res. Logist. Q. 33 523 529 0593.90029 10.1002/nav.3800330316
    • (1986) Nav. Res. Logist. Q. , vol.33 , pp. 523-529
    • Drezner, Z.1
  • 11
    • 0019029682 scopus 로고
    • Optimal location of a demand facility relative to area demand
    • Z. Drezner G. Wesolowsky 1980 Optimal location of a demand facility relative to area demand Nav. Res. Logist. Q. 27 199 206 574047 0443.90028 10.1002/nav.3800270204 (Pubitemid 10483297)
    • (1980) Naval research logistics quarterly , vol.27 , Issue.2 , pp. 199-206
    • Drezner, Z.1    Weslowsky, G.O.2
  • 12
    • 0010818827 scopus 로고
    • The general center location problem
    • 1342952 0837.90080 10.1287/moor.20.2.400
    • R. Durier 1995 The general center location problem Math. Oper. Res. 20 400 414 1342952 0837.90080 10.1287/moor.20.2.400
    • (1995) Math. Oper. Res. , vol.20 , pp. 400-414
    • Durier, R.1
  • 13
    • 0021442314 scopus 로고
    • Geometrical properties of the Fermat-Weber problem
    • 800909 0564.90013 10.1016/0377-2217(85)90006-2
    • R. Durier C. Michelot 1985 Geometrical properties of the Fermat-Weber problem Eur. J. Oper. Res. 20 332 343 800909 0564.90013 10.1016/0377-2217(85) 90006-2
    • (1985) Eur. J. Oper. Res. , vol.20 , pp. 332-343
    • Durier, R.1    Michelot, C.2
  • 16
    • 84902513659 scopus 로고
    • On the Lamé point and its generalizations in a normed space
    • 10.1070/SM1974v024n02ABEH002187
    • A.L. Garkavi V.A. Smatkov 1974 On the Lamé point and its generalizations in a normed space Math. USSR Sb. 24 2 267 286 10.1070/SM1974v024n02ABEH002187
    • (1974) Math. USSR Sb. , vol.24 , Issue.2 , pp. 267-286
    • Garkavi, A.L.1    Smatkov, V.A.2
  • 17
    • 0011668785 scopus 로고
    • Convex analysis with applications in differentiation of convex functions
    • Pitman Advanced Publishing Program
    • Giles, J.R.: Convex analysis with applications in differentiation of convex functions. Research Notes in Math. n. 58, Pitman Advanced Publishing Program (1982)
    • (1982) Research Notes in Math , Issue.58
    • Giles, J.R.1
  • 18
    • 0000890583 scopus 로고
    • Optimum location of switching centers and the absolute centers and medians of a graph
    • 0123.00305 10.1287/opre.12.3.450
    • S.L. Hakimi 1964 Optimum location of switching centers and the absolute centers and medians of a graph Oper. Res. 12 450 459 0123.00305 10.1287/opre.12.3.450
    • (1964) Oper. Res. , vol.12 , pp. 450-459
    • Hakimi, S.L.1
  • 20
    • 0003023071 scopus 로고
    • Finite dominating sets for network location problems
    • 1096193 0744.90049 10.1287/opre.39.1.100
    • J.N. Hooker R.S. Garfinkel C.K. Chen 1991 Finite dominating sets for network location problems Oper. Res. 39 1 100 118 1096193 0744.90049 10.1287/opre.39.1.100
    • (1991) Oper. Res. , vol.39 , Issue.1 , pp. 100-118
    • Hooker, J.N.1    Garfinkel, R.S.2    Chen, C.K.3
  • 22
    • 0001913773 scopus 로고
    • Subdifferentials of convex functions
    • 372610
    • A.D. Ioffe V.L. Levin 1972 Subdifferentials of convex functions Trans. Mosc. Math. Soc. 26 1 72 372610
    • (1972) Trans. Mosc. Math. Soc. , vol.26 , pp. 1-72
    • Ioffe, A.D.1    Levin, V.L.2
  • 23
    • 0026155835 scopus 로고
    • Approximate formulas of average distances associated with regions and their applications to location problems
    • T. Koshizuka O. Kurita 1991 Approximate formulas of average distances associated with regions and applications to location problems Math. Program. 52 99 123 1111082 0733.90042 10.1007/BF01582882 (Pubitemid 21664163)
    • (1991) Mathematical Programming, Series B , vol.52 , Issue.1 , pp. 99-123
    • Koshizuka Takeshi1    Kurita Osamu2
  • 27
    • 3142666884 scopus 로고    scopus 로고
    • An approach to location models involving sets as existing facilities
    • 2015909 1082.90059 10.1287/moor.28.4.693.20521
    • S. Nickel J. Puerto A.M. Rodríguez-Chía 2003 An approach to location models involving sets as existing facilities Math. Oper. Res. 28 693 715 2015909 1082.90059 10.1287/moor.28.4.693.20521
    • (2003) Math. Oper. Res. , vol.28 , pp. 693-715
    • Nickel, S.1    Puerto, J.2    Rodríguez-Chía, A.M.3
  • 28
    • 79957941898 scopus 로고    scopus 로고
    • Two new examples of sets without Centers
    • 2200076 1112.90044 10.1007/BF02579057
    • P.L. Papini 2005 Two new examples of sets without Centers Top 13 2 315 320 2200076 1112.90044 10.1007/BF02579057
    • (2005) Top , vol.13 , Issue.2 , pp. 315-320
    • Papini, P.L.1
  • 29
    • 0005730152 scopus 로고    scopus 로고
    • Geometrical properties of the symmetrical single facility location problem
    • 1807045 0974.90009
    • J. Puerto F.R. Fernández 2000 Geometrical properties of the symmetrical single facility location problem J. Nonlinear Convex Anal. 1 3 321 342 1807045 0974.90009
    • (2000) J. Nonlinear Convex Anal. , vol.1 , Issue.3 , pp. 321-342
    • Puerto, J.1    Fernández, F.R.2
  • 30
    • 0037269904 scopus 로고    scopus 로고
    • Robust positioning of service units
    • 1964311 1060.90054 10.1081/STM-120018142
    • J. Puerto A.M. Rodríguez-Chía 2003 Robust positioning of service units Stoch. Models 19 1 125 147 1964311 1060.90054 10.1081/STM- 120018142
    • (2003) Stoch. Models , vol.19 , Issue.1 , pp. 125-147
    • Puerto, J.1    Rodríguez-Chía, A.M.2
  • 33
    • 84968519544 scopus 로고
    • A characterization of inner product spaces
    • 341041 0286.46025 10.1090/S0002-9939-1973-0341041-6
    • R.A. Tapia 1973 A characterization of inner product spaces Proc. AMS 41 569 574 341041 0286.46025 10.1090/S0002-9939-1973-0341041-6
    • (1973) Proc. AMS , vol.41 , pp. 569-574
    • Tapia, R.A.1
  • 34
    • 44649190332 scopus 로고    scopus 로고
    • The single facility location problem with average-distances
    • 2407404 10.1007/s11750-008-0040-9
    • C. Valero-Franco A.M. Rodríguez-Chía I. Espejo-Miranda 2008 The single facility location problem with average-distances Top 16 164 194 2407404 10.1007/s11750-008-0040-9
    • (2008) Top , vol.16 , pp. 164-194
    • Valero-Franco, C.1    Rodríguez-Chía, A.M.2    Espejo-Miranda, I.3
  • 35
    • 33745994444 scopus 로고
    • Optimal positioning of read/write head in mirrored disks
    • 0916.90184 10.1016/0966-8349(95)00010-F
    • R.G. Vickson Y. Gerchak D. Rotem 1995 Optimal positioning of read/write head in mirrored disks Locat. Sci. 3 2 125 132 0916.90184 10.1016/0966-8349(95) 00010-F
    • (1995) Locat. Sci. , vol.3 , Issue.2 , pp. 125-132
    • Vickson, R.G.1    Gerchak, Y.2    Rotem, D.3
  • 36
    • 0015567713 scopus 로고
    • Location theory, dominance and convexity
    • 351409 0265.90040 10.1287/opre.21.1.314
    • R. Wendell A. Hurter 1973 Location theory, dominance and convexity Oper. Res. 21 314 320 351409 0265.90040 10.1287/opre.21.1.314
    • (1973) Oper. Res. , vol.21 , pp. 314-320
    • Wendell, R.1    Hurter, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.