Arc-based integer programming formulations for three variants of proportional symbol maps
Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks t...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Cano, Rafael G. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013transfer abstract |
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| Schlagwörter: |
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| Umfang: |
6 |
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| Übergeordnetes Werk: |
Enthalten in: Magnetic properties of the Ni–Cu–Zn system doped with magnesium oxide - Hemeda, O.M. ELSEVIER, 2015transfer abstract, Amsterdam |
|---|---|
| Übergeordnetes Werk: |
volume:44 ; year:2013 ; day:5 ; month:11 ; pages:251-256 ; extent:6 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.endm.2013.10.039 |
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| 520 | |a Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. | ||
| 520 | |a Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. | ||
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10.1016/j.endm.2013.10.039 doi GBVA2013007000005.pica (DE-627)ELV032936443 (ELSEVIER)S1571-0653(13)00255-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 610 VZ 44.90 bkl Cano, Rafael G. verfasserin aut Arc-based integer programming formulations for three variants of proportional symbol maps 2013transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Symbol Maps Elsevier Integer Programming Elsevier Computational Geometry Elsevier de Souza, Cid C. oth de Rezende, Pedro J. oth Yunes, Tallys oth Enthalten in Elsevier Science Hemeda, O.M. ELSEVIER Magnetic properties of the Ni–Cu–Zn system doped with magnesium oxide 2015transfer abstract Amsterdam (DE-627)ELV012993891 volume:44 year:2013 day:5 month:11 pages:251-256 extent:6 https://doi.org/10.1016/j.endm.2013.10.039 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_70 44.90 Neurologie VZ AR 44 2013 5 1105 251-256 6 045F 510 |
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10.1016/j.endm.2013.10.039 doi GBVA2013007000005.pica (DE-627)ELV032936443 (ELSEVIER)S1571-0653(13)00255-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 610 VZ 44.90 bkl Cano, Rafael G. verfasserin aut Arc-based integer programming formulations for three variants of proportional symbol maps 2013transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Symbol Maps Elsevier Integer Programming Elsevier Computational Geometry Elsevier de Souza, Cid C. oth de Rezende, Pedro J. oth Yunes, Tallys oth Enthalten in Elsevier Science Hemeda, O.M. ELSEVIER Magnetic properties of the Ni–Cu–Zn system doped with magnesium oxide 2015transfer abstract Amsterdam (DE-627)ELV012993891 volume:44 year:2013 day:5 month:11 pages:251-256 extent:6 https://doi.org/10.1016/j.endm.2013.10.039 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_70 44.90 Neurologie VZ AR 44 2013 5 1105 251-256 6 045F 510 |
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10.1016/j.endm.2013.10.039 doi GBVA2013007000005.pica (DE-627)ELV032936443 (ELSEVIER)S1571-0653(13)00255-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 610 VZ 44.90 bkl Cano, Rafael G. verfasserin aut Arc-based integer programming formulations for three variants of proportional symbol maps 2013transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Symbol Maps Elsevier Integer Programming Elsevier Computational Geometry Elsevier de Souza, Cid C. oth de Rezende, Pedro J. oth Yunes, Tallys oth Enthalten in Elsevier Science Hemeda, O.M. ELSEVIER Magnetic properties of the Ni–Cu–Zn system doped with magnesium oxide 2015transfer abstract Amsterdam (DE-627)ELV012993891 volume:44 year:2013 day:5 month:11 pages:251-256 extent:6 https://doi.org/10.1016/j.endm.2013.10.039 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_70 44.90 Neurologie VZ AR 44 2013 5 1105 251-256 6 045F 510 |
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10.1016/j.endm.2013.10.039 doi GBVA2013007000005.pica (DE-627)ELV032936443 (ELSEVIER)S1571-0653(13)00255-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 610 VZ 44.90 bkl Cano, Rafael G. verfasserin aut Arc-based integer programming formulations for three variants of proportional symbol maps 2013transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Symbol Maps Elsevier Integer Programming Elsevier Computational Geometry Elsevier de Souza, Cid C. oth de Rezende, Pedro J. oth Yunes, Tallys oth Enthalten in Elsevier Science Hemeda, O.M. ELSEVIER Magnetic properties of the Ni–Cu–Zn system doped with magnesium oxide 2015transfer abstract Amsterdam (DE-627)ELV012993891 volume:44 year:2013 day:5 month:11 pages:251-256 extent:6 https://doi.org/10.1016/j.endm.2013.10.039 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_70 44.90 Neurologie VZ AR 44 2013 5 1105 251-256 6 045F 510 |
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10.1016/j.endm.2013.10.039 doi GBVA2013007000005.pica (DE-627)ELV032936443 (ELSEVIER)S1571-0653(13)00255-2 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ 610 VZ 44.90 bkl Cano, Rafael G. verfasserin aut Arc-based integer programming formulations for three variants of proportional symbol maps 2013transfer abstract 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. Symbol Maps Elsevier Integer Programming Elsevier Computational Geometry Elsevier de Souza, Cid C. oth de Rezende, Pedro J. oth Yunes, Tallys oth Enthalten in Elsevier Science Hemeda, O.M. ELSEVIER Magnetic properties of the Ni–Cu–Zn system doped with magnesium oxide 2015transfer abstract Amsterdam (DE-627)ELV012993891 volume:44 year:2013 day:5 month:11 pages:251-256 extent:6 https://doi.org/10.1016/j.endm.2013.10.039 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_70 44.90 Neurologie VZ AR 44 2013 5 1105 251-256 6 045F 510 |
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Arc-based integer programming formulations for three variants of proportional symbol maps |
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Arc-based integer programming formulations for three variants of proportional symbol maps |
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Cano, Rafael G. |
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Magnetic properties of the Ni–Cu–Zn system doped with magnesium oxide |
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Magnetic properties of the Ni–Cu–Zn system doped with magnesium oxide |
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Cano, Rafael G. |
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Cano, Rafael G. |
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10.1016/j.endm.2013.10.039 |
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510 530 610 |
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arc-based integer programming formulations for three variants of proportional symbol maps |
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Arc-based integer programming formulations for three variants of proportional symbol maps |
| abstract |
Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. |
| abstractGer |
Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. |
| abstract_unstemmed |
Proportional symbol maps are a cartographic tool that employs scaled symbols to represent data associated with specific locations. The symbols we consider are opaque disks, which may be partially covered by other overlapping disks. We address the problem of creating a suitable drawing of the disks that maximizes one of two quality metrics: the total and the minimum visible length of disk boundaries. We study three variants of this problem, two of which are known to be NP-hard and another whose complexity is open. We propose novel integer programming formulations for each problem variant and test them on real-world instances with a branch-and-cut algorithm. When compared with state-of-the-art models from the literature, our models significantly reduce computation times for most instances. |
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Arc-based integer programming formulations for three variants of proportional symbol maps |
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https://doi.org/10.1016/j.endm.2013.10.039 |
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de Souza, Cid C. de Rezende, Pedro J. Yunes, Tallys |
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de Souza, Cid C. de Rezende, Pedro J. Yunes, Tallys |
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