메뉴 건너뛰기




Volumn 20, Issue 1, 2013, Pages 79-99

Packing congruent spheres into a multi-connected polyhedral domain

Author keywords

Mathematical modelling; Optimization; Packing; Polytope; Sphere

Indexed keywords

GLOBAL MAXIMUM; LOCAL MAXIMUM; METHOD OF FEASIBLE DIRECTION; NUMERICAL EXAMPLE; POLYHEDRAL DOMAINS; POLYTOPES;

EID: 84869231498     PISSN: 09696016     EISSN: 14753995     Source Type: Journal    
DOI: 10.1111/j.1475-3995.2012.00859.x     Document Type: Article
Times cited : (16)

References (24)
  • 4
    • 36448976929 scopus 로고    scopus 로고
    • Minimizing the object dimensions in sphere and sphere packing problems
    • Birgin, E.G., Sobral, F.N.C., 2008. Minimizing the object dimensions in sphere and sphere packing problems. Computers & Operations Research 35, 2357-2375.
    • (2008) Computers & Operations Research , vol.35 , pp. 2357-2375
    • Birgin, E.G.1    Sobral, F.N.C.2
  • 7
    • 10044222058 scopus 로고
    • Qualitative observations concerning packing densities for liquids, solutions, and random assemblies of spheres
    • Duer, W.C., Greenstein, J.R., Oglesby, G.B., Millero, F.J., 1977. Qualitative observations concerning packing densities for liquids, solutions, and random assemblies of spheres. Journal of Chemical Education 54, 3, 139-142.
    • (1977) Journal of Chemical Education , vol.54 , Issue.3 , pp. 139-142
    • Duer, W.C.1    Greenstein, J.R.2    Oglesby, G.B.3    Millero, F.J.4
  • 8
    • 0004269533 scopus 로고
    • Translated from the Russian by K. Mályusz, Akadémiai Kiadó. Publishing House of the Hungarian Academy of Sciences, Budapest.
    • Fomenko, A.T., Fuchs, D.B., Gutenmacher, V.L., 1986. Homotopic Topology. Translated from the Russian by K. Mályusz, Akadémiai Kiadó. Publishing House of the Hungarian Academy of Sciences, Budapest.
    • (1986) Homotopic Topology
    • Fomenko, A.T.1    Fuchs, D.B.2    Gutenmacher, V.L.3
  • 9
    • 22044441063 scopus 로고    scopus 로고
    • A proof of the Kepler Conjecture
    • 1
    • Hales, T.C., 2005. A proof of the Kepler Conjecture. Annals of Mathematics 162, 1, 1065-1185.
    • (2005) Annals of Mathematics , vol.162 , Issue.1 , pp. 065-1185
    • Hales, T.C.1
  • 10
    • 78751537817 scopus 로고    scopus 로고
    • A literature review on circle and sphere packing problems: models and methodologies
    • 2009, Article ID 150624, 22 doi:10.1155/2009/150624.
    • Hifi, M., M'Hallah, R., 2009. A literature review on circle and sphere packing problems: models and methodologies. Advances in Operations Research 2009, Article ID 150624, 22 pp. doi:10.1155/2009/150624.
    • (2009) Advances in Operations Research
    • Hifi, M.1    M'Hallah, R.2
  • 11
    • 0009408686 scopus 로고
    • Complexity of packing, covering, and partitioning problems
    • Schrijver, A. (ed.) Mathematisch Centrum, Amsterdam
    • Lenstra, J.K., Rinnooy Kan, A.H.G., 1979. Complexity of packing, covering, and partitioning problems. In Schrijver, A. (ed.) Packing and Covering in Combinatorics. Mathematisch Centrum, Amsterdam, pp. 275-291.
    • (1979) Packing and Covering in Combinatorics , pp. 275-291
    • Lenstra, J.K.1    Rinnooy Kan, A.H.G.2
  • 13
    • 0030402757 scopus 로고    scopus 로고
    • Position-based physics: simulating the motion of many highly interacting spheres and polyhedra
    • New Orleans, LA, USA, August 4-9, Annual Conference Series
    • Milenkovic, V.J., 1996. Position-based physics: simulating the motion of many highly interacting spheres and polyhedra. SIGGRAPH '96: Proceedings on Computer Graphics, New Orleans, LA, USA, August 4-9, Annual Conference Series, pp. 129-136.
    • (1996) SIGGRAPH '96: Proceedings on Computer Graphics , pp. 129-136
    • Milenkovic, V.J.1
  • 15
    • 60649096867 scopus 로고    scopus 로고
    • Packing cylinders and rectangular parallelepipeds with distances between them into a given region
    • Stoyan, Y., Chugay, A., 2009. Packing cylinders and rectangular parallelepipeds with distances between them into a given region. European Journal of Operational Research 197, 2, 446-455.
    • (2009) European Journal of Operational Research , vol.197 , Issue.2 , pp. 446-455
    • Stoyan, Y.1    Chugay, A.2
  • 16
    • 33744796726 scopus 로고    scopus 로고
    • Phi-functions for complex 2D-objects
    • Stoyan, Y., Scheithauer, G., Gil, N., Romanova, T., 2004. Phi-functions for complex 2D-objects. 4OR 2, 1, 69-84.
    • (2004) 4OR , vol.2 , Issue.1 , pp. 69-84
    • Stoyan, Y.1    Scheithauer, G.2    Gil, N.3    Romanova, T.4
  • 19
    • 84856683985 scopus 로고    scopus 로고
    • Solving an optimization packing problem of circles and non-convex polygons with rotations into a multiply connected region
    • Stoyan, Y.G., Zlotnik, M.V., Chugay, A.M., 2012. Solving an optimization packing problem of circles and non-convex polygons with rotations into a multiply connected region. Journal of the Operational Research Society 63, 3, 379-391.
    • (2012) Journal of the Operational Research Society , vol.63 , Issue.3 , pp. 379-391
    • Stoyan, Y.G.1    Zlotnik, M.V.2    Chugay, A.M.3
  • 20
    • 9744246875 scopus 로고    scopus 로고
    • Global optimization approach to unequal sphere packing problems in 3D
    • Sutou, A., Day, Y., 2002. Global optimization approach to unequal sphere packing problems in 3D. Journal of Optimization Theory and Applications 114, 3, 671-694.
    • (2002) Journal of Optimization Theory and Applications , vol.114 , Issue.3 , pp. 671-694
    • Sutou, A.1    Day, Y.2
  • 21
    • 84869230320 scopus 로고    scopus 로고
    • Chromosome Packing in Cell Nucleus
    • North Carolina State University, Raleigh, NC, USA, October 6-9, 79.
    • Uhler, C., Mian, S., 2011. Chromosome Packing in Cell Nucleus. Abstracts of SIAM Conference on Applied Algebraic Geometry, North Carolina State University, Raleigh, NC, USA, October 6-9, 79.
    • (2011) Abstracts of SIAM Conference on Applied Algebraic Geometry
    • Uhler, C.1    Mian, S.2
  • 22
    • 0000707585 scopus 로고    scopus 로고
    • Packing of unequal spheres and automated radiosurgical treatment planning
    • Wang, J, 1999. Packing of unequal spheres and automated radiosurgical treatment planning. Journal of Combinatorial Optimization 3, 453-463.
    • (1999) Journal of Combinatorial Optimization , vol.3 , pp. 453-463
    • Wang, J.1
  • 23
    • 84869223604 scopus 로고    scopus 로고
    • Multi-sized sphere packing in containers: optimization formula for obtaining the highest density with two different sized spheres
    • Yamada, S., Kanno, J., Miyauchi, M., 2011. Multi-sized sphere packing in containers: optimization formula for obtaining the highest density with two different sized spheres. IPSJ Online Transactions 4, 126-133.
    • (2011) IPSJ Online Transactions , vol.4 , pp. 126-133
    • Yamada, S.1    Kanno, J.2    Miyauchi, M.3
  • 24
    • 0001854432 scopus 로고
    • Nonlinear programming, computational methods
    • Abadie, J. (ed.) North Holland, Amsterdam.
    • Zoutendijk, G., 1970. Nonlinear programming, computational methods. In Abadie, J. (ed.) Integer and Nonlinear Programming. North Holland, Amsterdam.
    • (1970) Integer and Nonlinear Programming
    • Zoutendijk, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.