Engineering Optimization: Theory and Practice, Fourth Edition

(Martin Jones) #1
References and Bibliography 625

Step 3: The output of the program is shown below:
Optimization terminated.
x =
1
1
1
1
1

References and Bibliography


10.1 M. L. Balinski, Integer programming: methods, uses, computation,Management Science,
Vol. 12, pp. 253–313, 1965.
10.2 L. J. Watters, Reduction of integer polynomial programming problems to zero–one linear
programming problems,Operations Research, Vol. 15, No. 6, pp. 1171–1174, 1967.
10.3 S. Retter and D. B. Rice, Discrete optimizing solution procedures for linear and nonlinear
integer programming problems,Management Science, Vol. 12, pp. 829–850, 1966.
10.4 K. M. Gisvold and J. Moe, A method for nonlinear mixed-integer programming and
its application to design problems,Journal of Engineering for Industry, Transactions of
ASME, Vol. 94, pp. 353–364, May 1972.
10.5 R. A. Gellatly and P. B. Marcal,Investigation of Advanced Spacecraft Structural Design
Technology, NASA Report 2356–950001, 1967.
10.6 A. V. Fiacco, Penalty methods for mathematical programming inEnwith general con-
straints sets,Journal of Optimization Theory and Applications, Vol. 6, pp. 252–268,
1970.
10.7 R. E. Gomory,An Algorithm for the Mixed Integer Problem, Rand Report R.M. 25797,
July 1960.
10.8 A. H. Land and A. Doig, An automatic method of solving discrete programming prob-
lems,Econometrica, Vol. 28, pp. 497–520, 1960.
10.9 E. Balas, An additive algorithm for solving linear programs with zero–one variables,
Operations Research, Vol. 13, pp. 517–546, 1965.
10.10 R. E. Gomory, An all-integer integer programming algorithm, Chapter 13 inIndustrial
Scheduling, J. F. Muth and G. L. Thompson, Eds., Prentice-Hall, Englewood Cliffs, NJ,
1963.
10.11 H. A. Taha,Operations Research: An Introduction, Macmillan, New York, 1971.
10.12 S. Zionts,Linear and Integer Programming, Prentice-Hall, Englewood Cliffs, NJ, 1974.
10.13 C. McMillan, Jr.,Mathematical Programming: An Introduction to the Design and Appli-
cation of Optimal Decision Machines, Wiley, New York, 1970.
10.14 N. K. Kwak,Mathematical Programming with Business Applications, McGraw-Hill,
New York, 1973.
10.15 H. Greenberg,Integer Programming, Academic Press, New York, 1971.
10.16 G. B. Dantzig and A. F. Veinott, Jr., Eds.,Mathematics of the Decision Sciences, Part
1, American Mathematical Society, Providence, R I, 1968.
10.17 R. S. Garfinkel and G. L. Nemhauser,Integer Programming, Wiley, New York, 1972.
Free download pdf