메뉴 건너뛰기




Volumn 191, Issue 3, 2008, Pages 786-802

Solving circle packing problems by global optimization: Numerical results and industrial applications

Author keywords

Circle packing problems; Global optimization; Industrial applications; Numerical examples

Indexed keywords

CONTAINERS; GLOBAL OPTIMIZATION; HEURISTIC METHODS; INDUSTRIAL APPLICATIONS; SOFTWARE PACKAGES;

EID: 44649160575     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2007.01.054     Document Type: Article
Times cited : (202)

References (46)
  • 3
    • 3943051316 scopus 로고    scopus 로고
    • Optimizing the packing of cylinders into a rectangular container: A nonlinear approach
    • Birgin E.G., Martinez J.M., and Ronconi D.P. Optimizing the packing of cylinders into a rectangular container: A nonlinear approach. European Journal of Operational Research 160 (2005) 19-33
    • (2005) European Journal of Operational Research , vol.160 , pp. 19-33
    • Birgin, E.G.1    Martinez, J.M.2    Ronconi, D.P.3
  • 9
    • 4043055698 scopus 로고    scopus 로고
    • Generating optimal t-shape cutting patterns for circular blanks
    • Cui Y. Generating optimal t-shape cutting patterns for circular blanks. Computers & Operations Research 32 (2005) 143-152
    • (2005) Computers & Operations Research , vol.32 , pp. 143-152
    • Cui, Y.1
  • 10
    • 0010766033 scopus 로고
    • Optimising the palletisation of cylinders in cases
    • Dowsland K.A. Optimising the palletisation of cylinders in cases. OR Spectrum 13 (1991) 204-212
    • (1991) OR Spectrum , vol.13 , pp. 204-212
    • Dowsland, K.A.1
  • 12
    • 0019086564 scopus 로고
    • Discon: A new method for the layout problem
    • Drezner Z. Discon: A new method for the layout problem. Operations Research 28 (1980) 1375-1384
    • (1980) Operations Research , vol.28 , pp. 1375-1384
    • Drezner, Z.1
  • 13
    • 84974859436 scopus 로고
    • Solving the continuous p-dispersion problem using non-linear programming
    • Drezner Z., and Erkut E. Solving the continuous p-dispersion problem using non-linear programming. Journal of the Operational Research Society 46 (1995) 516-520
    • (1995) Journal of the Operational Research Society , vol.46 , pp. 516-520
    • Drezner, Z.1    Erkut, E.2
  • 16
    • 0001307210 scopus 로고
    • Integrated container loading software for pulp and paper industry
    • Fraser H.J., and George J.A. Integrated container loading software for pulp and paper industry. European Journal of Operational Research 77 (1994) 466-474
    • (1994) European Journal of Operational Research , vol.77 , pp. 466-474
    • Fraser, H.J.1    George, J.A.2
  • 17
    • 0030242605 scopus 로고    scopus 로고
    • Multiple container packing: A case study of pipe packing
    • George J.A. Multiple container packing: A case study of pipe packing. Journal of the Operational Research Society 47 (1996) 1098-1109
    • (1996) Journal of the Operational Research Society , vol.47 , pp. 1098-1109
    • George, J.A.1
  • 21
    • 0942280351 scopus 로고    scopus 로고
    • Approximate algorithms for constrained circular cutting problems
    • Hifi M., and M'Hallah R. Approximate algorithms for constrained circular cutting problems. Computers & Operations Research 31 (2004) 675-694
    • (2004) Computers & Operations Research , vol.31 , pp. 675-694
    • Hifi, M.1    M'Hallah, R.2
  • 24
    • 44649086763 scopus 로고    scopus 로고
    • Huang, W., Li, Y., Akeb, H., Li, C., forthcoming. Greedy algorithms for packing unequal circles into a rectangular container. Journal of the Operational Research Society.
    • Huang, W., Li, Y., Akeb, H., Li, C., forthcoming. Greedy algorithms for packing unequal circles into a rectangular container. Journal of the Operational Research Society.
  • 25
    • 0007598290 scopus 로고
    • Packing cylinders into cylindrical containers
    • Kravitz S. Packing cylinders into cylindrical containers. Mathematics Magazine 40 (1967) 65-71
    • (1967) Mathematics Magazine , vol.40 , pp. 65-71
    • Kravitz, S.1
  • 26
    • 44649196863 scopus 로고    scopus 로고
    • Lindo Systems. LINGO (release version: 9.0). Lindo Systems, Inc., 2004.
    • Lindo Systems. LINGO (release version: 9.0). Lindo Systems, Inc., 2004.
  • 27
    • 84867958818 scopus 로고    scopus 로고
    • Packing equal circles in a square: A deterministic global optimization approach
    • Locatelli M., and Raber U. Packing equal circles in a square: A deterministic global optimization approach. Discrete Applied Mathematics 122 (2002) 139-166
    • (2002) Discrete Applied Mathematics , vol.122 , pp. 139-166
    • Locatelli, M.1    Raber, U.2
  • 29
    • 33144468193 scopus 로고    scopus 로고
    • A new verified optimization technique for the "packing circles in a unit square" problems
    • Markót M.C., and Csendes T. A new verified optimization technique for the "packing circles in a unit square" problems. SIAM Journal on Optimization 16 (2005) 193-219
    • (2005) SIAM Journal on Optimization , vol.16 , pp. 193-219
    • Markót, M.C.1    Csendes, T.2
  • 30
    • 44649167319 scopus 로고    scopus 로고
    • Martin, C.F. 2004. How many robots can talk at the same time? Department of Mathematics, The Royal Institute of Technology, Stockholm. .
    • Martin, C.F. 2004. How many robots can talk at the same time? Department of Mathematics, The Royal Institute of Technology, Stockholm. .
  • 31
    • 44649176064 scopus 로고    scopus 로고
    • Melissen, J.B.M. 1997. Packing and covering with circles. Ph.D. Dissertation, Universiteit Utrecht.
    • Melissen, J.B.M. 1997. Packing and covering with circles. Ph.D. Dissertation, Universiteit Utrecht.
  • 36
    • 34247324145 scopus 로고    scopus 로고
    • Nonlinear optimization in Mathematica with MathOptimizer professional
    • Pintér J.D., and Kampas F.J. Nonlinear optimization in Mathematica with MathOptimizer professional. Mathematica in Education and Research 10 (2005) 1-18
    • (2005) Mathematica in Education and Research , vol.10 , pp. 1-18
    • Pintér, J.D.1    Kampas, F.J.2
  • 37
    • 44649145569 scopus 로고    scopus 로고
    • MathOptimizer professional: Key features and illustrative applications
    • Liberti L., and Maculan N. (Eds), Springer Science + Business Media, New York
    • Pintér J.D., and Kampas F.J. MathOptimizer professional: Key features and illustrative applications. In: Liberti L., and Maculan N. (Eds). Global Optimization: From Theory to Implementation (2006), Springer Science + Business Media, New York 263-280
    • (2006) Global Optimization: From Theory to Implementation , pp. 263-280
    • Pintér, J.D.1    Kampas, F.J.2
  • 38
    • 1842714194 scopus 로고    scopus 로고
    • A logarithmic barrier approach to solving the dashboard planning problem
    • Riskin M.D., Bissette K.C., and Castillo I. A logarithmic barrier approach to solving the dashboard planning problem. INFOR 41 (2003) 245-257
    • (2003) INFOR , vol.41 , pp. 245-257
    • Riskin, M.D.1    Bissette, K.C.2    Castillo, I.3
  • 39
    • 0442297986 scopus 로고    scopus 로고
    • Mathematical model and solution method of optimization problem of placement of rectangles and circles taking into account special constraints
    • Stoyan Y.G., and Yaskov G.N. Mathematical model and solution method of optimization problem of placement of rectangles and circles taking into account special constraints. International Transactions in Operational Research 5 (1998) 45-57
    • (1998) International Transactions in Operational Research , vol.5 , pp. 45-57
    • Stoyan, Y.G.1    Yaskov, G.N.2
  • 40
    • 1642618981 scopus 로고    scopus 로고
    • A mathematical model and a solution method for the problem of placing various-sized circles into a strip
    • Stoyan Y.G., and Yaskov G.N. A mathematical model and a solution method for the problem of placing various-sized circles into a strip. European Journal of Operational Research 156 (2004) 590-600
    • (2004) European Journal of Operational Research , vol.156 , pp. 590-600
    • Stoyan, Y.G.1    Yaskov, G.N.2
  • 41
    • 49349111102 scopus 로고    scopus 로고
    • Equal circles packing in a square I - Problem setting and bounds for optimal solutions
    • Giannessi F., Pardalos P.M., and Rapcsak T. (Eds), Kluwer, Dordrecht
    • Szabó P.G., Csendes T., Casado L.G., and García I. Equal circles packing in a square I - Problem setting and bounds for optimal solutions. In: Giannessi F., Pardalos P.M., and Rapcsak T. (Eds). Optimization Theory: Recent Developments from Mátraháza (2001), Kluwer, Dordrecht
    • (2001) Optimization Theory: Recent Developments from Mátraháza
    • Szabó, P.G.1    Csendes, T.2    Casado, L.G.3    García, I.4
  • 42
    • 34247571321 scopus 로고    scopus 로고
    • Global optimization in geometry - circle packing into the square
    • Audet C., Hansen P., and Savard G. (Eds), Kluwer, Dordrecht
    • Szabó P.G., Markót M.C., and Csendes T. Global optimization in geometry - circle packing into the square. In: Audet C., Hansen P., and Savard G. (Eds). Essays and Surveys in Global Optimization (2005), Kluwer, Dordrecht
    • (2005) Essays and Surveys in Global Optimization
    • Szabó, P.G.1    Markót, M.C.2    Csendes, T.3
  • 43
    • 0029375748 scopus 로고
    • The optimal packing of arbitrarily-shaped polygons using simulated annealing and polynomial-time cooling schedules
    • Theodoracatos V.E., and Grimsley J.L. The optimal packing of arbitrarily-shaped polygons using simulated annealing and polynomial-time cooling schedules. Computer Methods in Applied Mechanics and Engineering 125 (1995) 53-70
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.125 , pp. 53-70
    • Theodoracatos, V.E.1    Grimsley, J.L.2
  • 44
    • 0036722354 scopus 로고    scopus 로고
    • An improved algorithm for the packing of unequal circles within a larger containing circle
    • Wang H., Huang W., Zhang Q., and Xu D. An improved algorithm for the packing of unequal circles within a larger containing circle. European Journal of Operational Research 141 (2002) 440-453
    • (2002) European Journal of Operational Research , vol.141 , pp. 440-453
    • Wang, H.1    Huang, W.2    Zhang, Q.3    Xu, D.4
  • 45
    • 44649132290 scopus 로고    scopus 로고
    • Wolfram Research. Mathematica (release version: 5.2). Wolfram Research, Inc., 2005.
    • Wolfram Research. Mathematica (release version: 5.2). Wolfram Research, Inc., 2005.
  • 46
    • 10644297298 scopus 로고    scopus 로고
    • An effective hybrid algorithm for the problem of packing circles into a larger containing circle
    • Zhang D., and Deng A. An effective hybrid algorithm for the problem of packing circles into a larger containing circle. Computers & Operations Research 32 (2005) 1941-1951
    • (2005) Computers & Operations Research , vol.32 , pp. 1941-1951
    • Zhang, D.1    Deng, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.