메뉴 건너뛰기




Volumn 2, Issue 2, 2005, Pages 168-184

One-way and round-trip center location problems

Author keywords

Center location problems; Facility location; Tree networks

Indexed keywords

FUNCTIONS; GRAPH THEORY; LINEARIZATION; MATHEMATICAL MODELS; PACKAGING; POLYNOMIALS; PROBLEM SOLVING;

EID: 22644444328     PISSN: 15725286     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disopt.2004.12.004     Document Type: Article
Times cited : (25)

References (44)
  • 2
    • 0000982419 scopus 로고
    • Applications of parametric searching in geometric optimization
    • P.K. Agarwal, M. Sharir, and S. Toledo Applications of parametric searching in geometric optimization J. Algorithms 17 1994 292 318
    • (1994) J. Algorithms , vol.17 , pp. 292-318
    • Agarwal, P.K.1    Sharir, M.2    Toledo, S.3
  • 3
    • 34247108324 scopus 로고
    • Graphs, matrices and an elementary location problem
    • A.A. Ageev Graphs, matrices and an elementary location problem Upravlyaemye Sistemy 29 1989 3 10 [83. 90B80 (90C10), MR1110574] (in Russian)
    • (1989) Upravlyaemye Sistemy , vol.29 , pp. 3-10
    • Ageev, A.A.1
  • 4
    • 22644447642 scopus 로고    scopus 로고
    • Private Communication
    • A.A. Ageev, Private Communication, 2004.
    • (2004)
    • Ageev, A.A.1
  • 5
    • 22644433802 scopus 로고
    • Minimization algorithms for some classes of polynomials in Boolean variables
    • A.A. Ageev, and V.L. Beresnev Minimization algorithms for some classes of polynomials in Boolean variables Trudy Inst. Mat. 10 1988 5 17 (in Russian)
    • (1988) Trudy Inst. Mat. , vol.10 , pp. 5-17
    • Ageev, A.A.1    Beresnev, V.L.2
  • 7
    • 0347124266 scopus 로고
    • Algorithms for the minimization of polynomials from Boolean variables
    • (Reviewer: C. Ilioi) [65K10 (90C09) MR0568455 (83k:65053)] (in Russian)
    • V.L. Beresnev, Algorithms for the minimization of polynomials from Boolean variables, Problemy Kibernet. 36 (1979) 225-246, 280 (Reviewer: C. Ilioi) [65K10 (90C09) MR0568455 (83k:65053)] (in Russian).
    • (1979) Problemy Kibernet , vol.36 , pp. 225-246
    • Beresnev, V.L.1
  • 10
    • 0016922020 scopus 로고
    • A round-trip location problem on a tree graph
    • A. Chan, and R.L. Francis A round-trip location problem on a tree graph Transportation Sci. 10 1976 35 51
    • (1976) Transportation Sci. , vol.10 , pp. 35-51
    • Chan, A.1    Francis, R.L.2
  • 11
    • 0017494644 scopus 로고
    • A rectilinear distance round-trip location problem
    • A. Chan, and D.W. Hearn A rectilinear distance round-trip location problem Transportation Sci. 11 1977 107 123
    • (1977) Transportation Sci. , vol.11 , pp. 107-123
    • Chan, A.1    Hearn, D.W.2
  • 13
    • 85030530992 scopus 로고
    • Improvements on geometric pattern matching problems
    • O. Nurmi, E. Ukkonen (Eds.) Lecture Notes in Computer Science Springer, Berlin, July
    • I.P. Chew, K. Kedem, Improvements on geometric pattern matching problems, in: O. Nurmi, E. Ukkonen (Eds.), Scandinavian Workshop on Algorithm Theory-SWAT 1992, Lecture Notes in Computer Science, vol. 621, Springer, Berlin, July 1992, pp. 318-325.
    • (1992) Scandinavian Workshop on Algorithm Theory-SWAT 1992 , vol.621 , pp. 318-325
    • Chew, I.P.1    Kedem, K.2
  • 14
    • 0023271105 scopus 로고
    • Slowing down sorting networks to obtain faster sorting algorithms
    • R. Cole Slowing down sorting networks to obtain faster sorting algorithms J. Assoc. Comput. Mach. 34 1987 200 208
    • (1987) J. Assoc. Comput. Mach. , vol.34 , pp. 200-208
    • Cole, R.1
  • 16
    • 22644447193 scopus 로고
    • A class of convex programs with applications to computational geometry
    • University of Leeds
    • M. Dyer, A class of convex programs with applications to computational geometry, Technical Report, University of Leeds, 1991.
    • (1991) Technical Report
    • Dyer, M.1
  • 18
    • 0020120231 scopus 로고
    • The complexity of selection and ranking in X + y and matrices with sorted columns
    • G.N. Frederickson, and D.B. Johnson The complexity of selection and ranking in X + Y and matrices with sorted columns J. Comput. System Sci. 24 1982 197 208
    • (1982) J. Comput. System Sci. , vol.24 , pp. 197-208
    • Frederickson, G.N.1    Johnson, D.B.2
  • 19
    • 0000340664 scopus 로고
    • Algorithms for minimum coloring, maximum clique, minimum covering by cliques and maximum independent set of a chordal graph
    • F. Gavril Algorithms for minimum coloring, maximum clique, minimum covering by cliques and maximum independent set of a chordal graph SIAM J. Comput. 1 1971 180 187
    • (1971) SIAM J. Comput. , vol.1 , pp. 180-187
    • Gavril, F.1
  • 21
    • 0021426157 scopus 로고
    • Fast algorithms for finding nearest common ancestors
    • D. Harel, and R.E. Tarjan Fast algorithms for finding nearest common ancestors SIAM J. Comput. 13 1984 338 355
    • (1984) SIAM J. Comput. , vol.13 , pp. 338-355
    • Harel, D.1    Tarjan, R.E.2
  • 22
    • 0024885134 scopus 로고
    • Finding the upper envelope of n line segments in O(n log n) time
    • J. Hershberger Finding the upper envelope of n line segments in O (n log n ) time Inform. Process. Lett. 33 1989 169 174
    • (1989) Inform. Process. Lett. , vol.33 , pp. 169-174
    • Hershberger, J.1
  • 23
    • 0022064511 scopus 로고
    • A best possible approximation algorithm for the K-center problem
    • D.S. Hochbaum, and D.B. Shmoys A best possible approximation algorithm for the K-center problem Math. Oper. Res. 10 1985 180 184
    • (1985) Math. Oper. Res. , vol.10 , pp. 180-184
    • Hochbaum, D.S.1    Shmoys, D.B.2
  • 24
    • 0022753024 scopus 로고
    • A unified approach to approximation algorithms for bottleneck problems
    • D.S. Hochbaum, and D.B. Shmoys A unified approach to approximation algorithms for bottleneck problems J. Assoc. Comput. Mach. 33 1986 533 550
    • (1986) J. Assoc. Comput. Mach. , vol.33 , pp. 533-550
    • Hochbaum, D.S.1    Shmoys, D.B.2
  • 25
    • 0018678438 scopus 로고
    • An algorithmic approach to network location problems, Part 1: The p-centers
    • O. Kariv, and S.L. Hakimi An algorithmic approach to network location problems, Part 1: the p-centers SIAM J. Appl. Math. 37 1979 539 560
    • (1979) SIAM J. Appl. Math. , vol.37 , pp. 539-560
    • Kariv, O.1    Hakimi, S.L.2
  • 26
    • 7544245726 scopus 로고
    • On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles
    • K. Kedem, R. Livne, J. Pach, and M. Sharir On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles Discrete Comput. Geom. 1 1986 59 71
    • (1986) Discrete Comput. Geom. , vol.1 , pp. 59-71
    • Kedem, K.1    Livne, R.2    Pach, J.3    Sharir, M.4
  • 28
    • 52449146242 scopus 로고
    • An optimal approximation algorithm for the rectilinear m-center problem
    • M.T. Ko, R.C. Lee, and J.S. Chang An optimal approximation algorithm for the rectilinear m-center problem Algorithmica 5 1990 341 352
    • (1990) Algorithmica , vol.5 , pp. 341-352
    • Ko, M.T.1    Lee, R.C.2    Chang, J.S.3
  • 29
    • 0022111371 scopus 로고
    • The round trip p-center and covering problem on a tree
    • A. Kolen The round trip p-center and covering problem on a tree Transportation Sci. 19 1985 222 234
    • (1985) Transportation Sci. , vol.19 , pp. 222-234
    • Kolen, A.1
  • 30
    • 0002879989 scopus 로고
    • Covering problems
    • P.B. Mirchandani R.L. Francis Wiley New York
    • A. Kolen, and A. Tamir Covering problems P.B. Mirchandani R.L. Francis Discrete Location Theory 1990 Wiley New York (Chapter 6)
    • (1990) Discrete Location Theory
    • Kolen, A.1    Tamir, A.2
  • 31
    • 0001716715 scopus 로고
    • Combinatorial optimization with rational objective functions
    • N. Megiddo Combinatorial optimization with rational objective functions Math. Oper. Res. 4 1979 414 424
    • (1979) Math. Oper. Res. , vol.4 , pp. 414-424
    • Megiddo, N.1
  • 32
    • 0020828745 scopus 로고
    • Applying parallel computation algorithms in the design of serial algorithms
    • N. Megiddo Applying parallel computation algorithms in the design of serial algorithms J. Assoc. Comput. Mach. 30 1983 852 865
    • (1983) J. Assoc. Comput. Mach. , vol.30 , pp. 852-865
    • Megiddo, N.1
  • 33
    • 0020845843 scopus 로고
    • Linear programming in linear time when the dimension is fixed
    • N. Megiddo Linear programming in linear time when the dimension is fixed J. Assoc. Comput. Mach. 31 1984 114 127
    • (1984) J. Assoc. Comput. Mach. , vol.31 , pp. 114-127
    • Megiddo, N.1
  • 34
    • 0000423549 scopus 로고
    • New results on p-center problems
    • N. Megiddo, and A. Tamir New results on p-center problems SIAM J. Comput. 12 1983 751 758
    • (1983) SIAM J. Comput. , vol.12 , pp. 751-758
    • Megiddo, N.1    Tamir, A.2
  • 35
    • 0001046401 scopus 로고
    • 2 n) algorithm for the kth longest path in a tree with applications to location problems
    • N. Megiddo, A. Tamir, E. Zemel, and R. Chandrasekarn An O (n log 2 n ) algorithm for the kth longest path in a tree with applications to location problems SIAM J. Comput. 10 1981 328 337
    • (1981) SIAM J. Comput. , vol.10 , pp. 328-337
    • Megiddo, N.1    Tamir, A.2    Zemel, E.3    Chandrasekarn, R.4
  • 36
    • 0026406169 scopus 로고
    • New upper bounds in Klee's measure problem
    • M.H. Overmars, and C.-K. Yap New upper bounds in Klee's measure problem SIAM J. Comput. 20 1991 1034 1045
    • (1991) SIAM J. Comput. , vol.20 , pp. 1034-1045
    • Overmars, M.H.1    Yap, C.-K.2
  • 37
    • 0009000195 scopus 로고
    • A heuristic for the p-center problem in graphs
    • J. Plesnik A heuristic for the p-center problem in graphs Discrete Appl. Math. 17 1987 263 268
    • (1987) Discrete Appl. Math. , vol.17 , pp. 263-268
    • Plesnik, J.1
  • 38
    • 22644447458 scopus 로고
    • Two heuristics for the absolute p-center problem in graphs
    • J. Plesnik Two heuristics for the absolute p-center problem in graphs Math. Slovaca 38 1988 227 233
    • (1988) Math. Slovaca , vol.38 , pp. 227-233
    • Plesnik, J.1
  • 39
    • 0001580189 scopus 로고
    • Algorithmic aspects of vertex elimination in graphs
    • D.J. Rose, R.E. Tarjan, and G.S. Lueker Algorithmic aspects of vertex elimination in graphs SIAM J. Comput. 5 1976 266 281
    • (1976) SIAM J. Comput. , vol.5 , pp. 266-281
    • Rose, D.J.1    Tarjan, R.E.2    Lueker, G.S.3
  • 41
    • 0000486559 scopus 로고
    • Improved complexity bounds for center location problems on networks by using dynamic data structures
    • A. Tamir Improved complexity bounds for center location problems on networks by using dynamic data structures SIAM J. Discrete Math. 1 1988 377 396
    • (1988) SIAM J. Discrete Math. , vol.1 , pp. 377-396
    • Tamir, A.1
  • 42
    • 0030216223 scopus 로고    scopus 로고
    • 2) algorithm for the p-median and related problems on tree graphs
    • A. Tamir An O (pn 2 ) algorithm for the p-median and related problems on tree graphs Oper. Res. Lett. 19 1996 59 64
    • (1996) Oper. Res. Lett. , vol.19 , pp. 59-64
    • Tamir, A.1
  • 44
    • 0021393302 scopus 로고
    • An O(n) algorithm for the linear multiple choice problem and related problems
    • E. Zemel An O (n ) algorithm for the linear multiple choice problem and related problems Inform. Process. Lett. 18 1984 123 128
    • (1984) Inform. Process. Lett. , vol.18 , pp. 123-128
    • Zemel, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.