메뉴 건너뛰기




Volumn 27, Issue 9, 2000, Pages 841-865

Experiments with new stochastic global optimization search techniques

Author keywords

Adaptive partitioning algorithms; Fuzzy measures; Global optimization; Probabilistic search methods

Indexed keywords

CLUSTER ANALYSIS; SIMULATION; STATISTICAL ANALYSIS;

EID: 0034111264     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0305-0548(99)00054-4     Document Type: Article
Times cited : (30)

References (69)
  • 2
    • 0037661680 scopus 로고
    • A wide class of test functions for global optimization
    • Schoen F. A wide class of test functions for global optimization. Journal of Global Optimization. 3:1993;133-137.
    • (1993) Journal of Global Optimization , vol.3 , pp. 133-137
    • Schoen, F.1
  • 4
    • 0000387235 scopus 로고
    • A rapidly convergent descent method for minimization
    • Fletcher R., Powell M. A rapidly convergent descent method for minimization. Computer Journal. 6:1963;163-168.
    • (1963) Computer Journal , vol.6 , pp. 163-168
    • Fletcher, R.1    Powell, M.2
  • 5
    • 84966275544 scopus 로고
    • Minimization of functions having Lipschitz continuous first partial derivatives
    • Armijo L. Minimization of functions having Lipschitz continuous first partial derivatives. Pacific J. of Mathematics. 16:1966;1-3.
    • (1966) Pacific J. of Mathematics , vol.16 , pp. 1-3
    • Armijo, L.1
  • 6
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • Fletcher R., Reeves C. Function minimization by conjugate gradients. Computer Journal. 7:1964;149-154.
    • (1964) Computer Journal , vol.7 , pp. 149-154
    • Fletcher, R.1    Reeves, C.2
  • 8
    • 0003271565 scopus 로고
    • A search clustering approach to global optimization
    • In: Dixon LCW, Szegö GP, editors Amsterdam: North-Holland
    • Törn A. A search clustering approach to global optimization. In: Dixon LCW, Szegö GP, editors. Towards global optimization 2. Amsterdam: North-Holland, 1978.
    • (1978) Towards Global Optimization , vol.2
    • Törn, A.1
  • 9
    • 0003241007 scopus 로고
    • A controlled random search procedure for global optimization
    • In: Dixon LCW, Szegö GP, editors Amsterdam: North-Holland
    • Price WL. A controlled random search procedure for global optimization. In: Dixon LCW, Szegö GP, editors. Towards global optimization 2. Amsterdam: North-Holland, 1978.
    • (1978) Towards Global Optimization , vol.2
    • Price, W.L.1
  • 12
    • 0000854357 scopus 로고
    • Topographical global optimization using pre-sampled points
    • Törn A., Viitanen S. Topographical global optimization using pre-sampled points. Journal of Global Optimization. 5:1994;267-276.
    • (1994) Journal of Global Optimization , vol.5 , pp. 267-276
    • Törn, A.1    Viitanen, S.2
  • 14
    • 33645856653 scopus 로고
    • Global optimization and simulated annealing
    • Dekkers A., Aarts E. Global optimization and simulated annealing. Mathematical Programming. 50:1991;367-393.
    • (1991) Mathematical Programming , vol.50 , pp. 367-393
    • Dekkers, A.1    Aarts, E.2
  • 15
  • 16
    • 0003692448 scopus 로고
    • La Jolla. CA. University of California, San Diego
    • Frost R. Ensemble based simulated annealing, ftp.sdsc.edu/pub/sdsc/math/Ebsa, La Jolla. CA. University of California, San Diego, 1993.
    • (1993) Ensemble Based Simulated Annealing
    • Frost, R.1
  • 18
    • 0022805889 scopus 로고
    • A general class of branch and bound mehods in global optimization, with some new approaches for concave minimization
    • Horst R. A general class of branch and bound mehods in global optimization, with some new approaches for concave minimization. Journal of Optimization Theory and Applications. 51:1986;271-291.
    • (1986) Journal of Optimization Theory and Applications , vol.51 , pp. 271-291
    • Horst, R.1
  • 19
    • 0027556475 scopus 로고
    • The impact of accelerating tools on the interval subdivision algorithm for global optimization
    • Csendes T., Pinter J. The impact of accelerating tools on the interval subdivision algorithm for global optimization. European Journal of Operations Research. 65:1993;314-320.
    • (1993) European Journal of Operations Research , vol.65 , pp. 314-320
    • Csendes, T.1    Pinter, J.2
  • 20
    • 0005207812 scopus 로고
    • Use of real-valued local minimum in parallel interval global optimization
    • Caprani O., Gothaab B., Madsen K. Use of real-valued local minimum in parallel interval global optimization. Interval Computations. 3:1993;71-82.
    • (1993) Interval Computations , vol.3 , pp. 71-82
    • Caprani, O.1    Gothaab, B.2    Madsen, K.3
  • 23
    • 34249832269 scopus 로고
    • Convergence qualification of adaptive partitioning algorithms in global optimization
    • Pinter J. Convergence qualification of adaptive partitioning algorithms in global optimization. Mathematical Programming. 56:1992;343-360.
    • (1992) Mathematical Programming , vol.56 , pp. 343-360
    • Pinter, J.1
  • 24
    • 84998710865 scopus 로고
    • A new method of locating the maximum point of an arbitrary multi-peak curve in the presence of noise
    • Kushner H.J. A new method of locating the maximum point of an arbitrary multi-peak curve in the presence of noise. Transactions Of ASME, Series D, Journal of Basic Engineering. 86:1964;97-105.
    • (1964) Transactions of ASME, Series D, Journal of Basic Engineering , vol.86 , pp. 97-105
    • Kushner, H.J.1
  • 25
    • 0342813053 scopus 로고
    • On an algorithm for finding the absolute minimum
    • Kiev: Institute of Cybernetics
    • Danilin YM, Piyavskii SA. On an algorithm for finding the absolute minimum, In: Theory of optimal solutions. Kiev: Institute of Cybernetics, 1967;25-37.
    • (1967) In: Theory of Optimal Solutions , pp. 25-37
    • Danilin, Y.M.1    Piyavskii, S.A.2
  • 26
    • 0015401431 scopus 로고
    • A sequential method seeking the global maximum of a function
    • Schubert B.O. A sequential method seeking the global maximum of a function. SIAM Journal of Numerical Analysis. 9:1972;379-388.
    • (1972) SIAM Journal of Numerical Analysis , vol.9 , pp. 379-388
    • Schubert, B.O.1
  • 28
    • 0002672474 scopus 로고
    • Two algorithms for one-dimensional multimodal minimization
    • Zilinskas A. Two algorithms for one-dimensional multimodal minimization. Optimization. 12:1981;53-63.
    • (1981) Optimization , vol.12 , pp. 53-63
    • Zilinskas, A.1
  • 29
    • 0342378084 scopus 로고
    • Estimating the location of the Cauchy distribution by numerical global optimization
    • Wingo D.R. Estimating the location of the Cauchy distribution by numerical global optimization. Communications in Statistics Part B. Simulation and Computation. 12:1983;201-212.
    • (1983) Communications in Statistics Part B. Simulation and Computation , vol.12 , pp. 201-212
    • Wingo, D.R.1
  • 30
    • 0003642009 scopus 로고
    • Automatic error analysis in digital computation
    • Lockheed Missiles and Space Division, Sunnyvale, CA
    • Moore RE. Automatic error analysis in digital computation. Technical Report LMSD-48421, Lockheed Missiles and Space Division, Sunnyvale, CA, 1959.
    • (1959) Technical Report LMSD-48421
    • Moore, R.E.1
  • 32
    • 34250093591 scopus 로고
    • Inclusion functions and global optimization II
    • Moore R.E., Ratschek H. Inclusion functions and global optimization II. Mathematical Programming. 41:1988;341-356.
    • (1988) Mathematical Programming , vol.41 , pp. 341-356
    • Moore, R.E.1    Ratschek, H.2
  • 33
    • 51249182538 scopus 로고
    • A probabilistic algorithm for global optimization
    • Archetti F., Betro B. A probabilistic algorithm for global optimization. Calcolo. 16:1979;335-343.
    • (1979) Calcolo , vol.16 , pp. 335-343
    • Archetti, F.1    Betro, B.2
  • 34
    • 0342813049 scopus 로고
    • The application of Bayesian methods for seeking the extremum
    • In: Dixon LCW, Szego, GP, editors Amsterdam: North-Holland
    • Mockus JB, Thiesis V, Zilinskas A. The application of Bayesian methods for seeking the extremum. In: Dixon LCW, Szego, GP, editors. Towards global optimization, vol. 2. Amsterdam: North-Holland, 1978;117-29.
    • (1978) Towards Global Optimization , vol.2 , pp. 117-129
    • Mockus, J.B.1    Thiesis, V.2    Zilinskas, A.3
  • 36
  • 39
    • 0032071782 scopus 로고    scopus 로고
    • Simultaneous lot sizing and loading of product families on parallel facilities of different classes
    • Ozdamar L., Bozyel M.A. Simultaneous lot sizing and loading of product families on parallel facilities of different classes. International Journal of Production Research. 36:1998;1305-1324.
    • (1998) International Journal of Production Research , vol.36 , pp. 1305-1324
    • Ozdamar, L.1    Bozyel, M.A.2
  • 40
    • 0032210423 scopus 로고    scopus 로고
    • A hybrid genetic algorithm for the capacitated lot sizing and loading problem
    • "Ozdamar L., Birbil I.S. A hybrid genetic algorithm for the capacitated lot sizing and loading problem. European Journal of Operational Research. 110:1998;525-547.
    • (1998) European Journal of Operational Research , vol.110 , pp. 525-547
    • Ozdamar, L.1    Birbil, I.S.2
  • 41
    • 0343683334 scopus 로고    scopus 로고
    • A fractal partitioning algorithm (with fuzzy measures) for optimization
    • September Aachen, Germany
    • Demirhan M, Özdamar L, Helvacioglu L, Birbil IS. A fractal partitioning algorithm (with fuzzy measures) for optimization. EUFIT '97, September 1997, Aachen, Germany.
    • (1997) EUFIT '97
    • Demirhan, M.1    Özdamar, L.2    Helvacioglu, L.3    Birbil, I.S.4
  • 42
    • 0032595157 scopus 로고    scopus 로고
    • A note on the use of fuzzy measures in adaptive partitioning algorithms for global optimization
    • to appear
    • Demirhan M, Özdamar L. A note on the use of fuzzy measures in adaptive partitioning algorithms for global optimization. IEEE Transactions on Fuzzy Systems 1999, to appear.
    • (1999) IEEE Transactions on Fuzzy Systems
    • Demirhan, M.1    Özdamar, L.2
  • 45
    • 0015340630 scopus 로고
    • A definition of nonprobabilistic entropy in the setting of fuzzy sets theory
    • Deluca A., Termini S. A definition of nonprobabilistic entropy in the setting of fuzzy sets theory. Information and Control. 20:1972;301-312.
    • (1972) Information and Control , vol.20 , pp. 301-312
    • Deluca, A.1    Termini, S.2
  • 46
    • 0343229860 scopus 로고    scopus 로고
    • Comparison of partition evaluation measures in an adaptive partitioning algorithm for global optimization
    • to appear
    • Ozdamar L, Demirhan M. Comparison of partition evaluation measures in an adaptive partitioning algorithm for global optimization. Fuzzy Sets and Systems 1999, to appear.
    • (1999) Fuzzy Sets and Systems
    • Ozdamar, L.1    Demirhan, M.2
  • 48
    • 0030189973 scopus 로고    scopus 로고
    • OPTAC: A portable software package for analyzing and comparing optimization methos by visualization
    • Androulakis G.S., Vrahatis M.N. OPTAC: a portable software package for analyzing and comparing optimization methos by visualization. Journal of Computational and Applied Mathematics. 72:1996;41-62.
    • (1996) Journal of Computational and Applied Mathematics , vol.72 , pp. 41-62
    • Androulakis, G.S.1    Vrahatis, M.N.2
  • 50
    • 0001479088 scopus 로고
    • A curvilinear optimization method based upon iterative estimation of the eigensystem of the hessian matrix
    • Botsaris C.A. A curvilinear optimization method based upon iterative estimation of the eigensystem of the hessian matrix. Journal of Mathematical Analysis and Applications. 63:1978;396-411.
    • (1978) Journal of Mathematical Analysis and Applications , vol.63 , pp. 396-411
    • Botsaris, C.A.1
  • 52
    • 0000963644 scopus 로고
    • An efficient degree-computation method for a generalized method of bisection
    • Kearfott B. An efficient degree-computation method for a generalized method of bisection. Numerical Mathematics. 32:1979;109-127.
    • (1979) Numerical Mathematics , vol.32 , pp. 109-127
    • Kearfott, B.1
  • 53
  • 61
    • 0023416976 scopus 로고
    • Minimizing multimodal functions of continuous variables with the simulated annealing algorithm
    • Corana A., Marchesi M., Marini C., Ridella S. Minimizing multimodal functions of continuous variables with the simulated annealing algorithm. ACM Transactions of Mathematical Software. 13:1987;262-279.
    • (1987) ACM Transactions of Mathematical Software , vol.13 , pp. 262-279
    • Corana, A.1    Marchesi, M.2    Marini, C.3    Ridella, S.4
  • 63
    • 0000460199 scopus 로고
    • A deterministic algorithm for global optimization
    • Breiman L., Cutler A. A deterministic algorithm for global optimization. Mathematical Programming. 58:1993;179-199.
    • (1993) Mathematical Programming , vol.58 , pp. 179-199
    • Breiman, L.1    Cutler, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.