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A set of geometric programming test problems and their solutions. (English) Zbl 0349.90066


MSC:

90C05 Linear programming
65K05 Numerical mathematical programming methods
Full Text: DOI

References:

[1] M. Avriel and A.C. Williams, ”An extension of geometric programming with applications in engineering optimization”,Journal of Engineering Mathematics 5 (3) (1971) 187–194. · doi:10.1007/BF01535411
[2] P.A. Beck and J.G. Ecker, ”A modified concave simplex algorithm for geometric programming”,Journal of Optimization Theory and Applications, to appear. · Zbl 0274.90050
[3] J. Bracken and G.P. McCormick, ”Selected applications in nonlinear programming” (Wiley, New York, 1968) pp. 37–45. · Zbl 0194.20502
[4] A.R. Colville, ”A comparative study of nonlinear programming codes”, IBM NYSC Rept. 320-2949 (1968).
[5] G.B. Dantzig, J.C. de Haven and C.P. Sams, in:Proceedings of the 4th Berkeley symposium on mathematical statistics and probability (University of California Press, Berkeley, Calif., 1960) pp. 181–196.
[6] R.S. Dembo, ”Solution of complementary geometric programming problems”, M.Sc. Thesis, Technion, Haifa (1972).
[7] R.S. Dembo, ”GGP – A program for solving generalized geometric programs – Users Manual”, Department of Chemical Engineering Rept. 72/59, Technion (1972).
[8] R.S. Dembo, M. Avriel and U. Passy, ”An algorithm for the solution of generalized geometric programs”,International Journal for Numerical Methods in Engineering, to appear. · Zbl 0495.90073
[9] J. Haldi, ”25 integer programming test problems”, Stanford University, Graduate School of Business, Working Paper no. 43 (December 1964).
[10] M.J. Rijckaert, ”Engineering applications of geometric programming”, in: M. Avriel, M.J. Rijckaert and D.J. Wilde, eds.,Optimization and design (Prentice Hall, Englewood Cliffs, N.J., 1973) pp. 196–220.
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