Management science
- 1 July 1972
- journal article
- Published by Association for Computing Machinery (ACM) in Communications of the ACM
- Vol. 15 (7) , 542-549
- https://doi.org/10.1145/361454.361464
Abstract
A brief history of integer and continuous nonlinear programming is presented as well as the current obstacles to practical use of these mathematical programming techniques. It is forecast that the useful contributions to nonlinear programming actually made in the next few years are more likely to be consolidations than theoretical breakthroughs. These contributions are likely to be the documentation of standard test problems, construction of user oriented software, and comparisons of currently known algorithms to demonstrate which techniques are best for specific problems.Keywords
This publication has 43 references indexed in Scilit:
- Optimal conditioning of quasi-Newton methodsMathematics of Computation, 1970
- The Application Potential of Integer ProgrammingThe Journal of Business, 1970
- A Bidirectional Simplex AlgorithmJournal of the ACM, 1968
- A complete constructive algorithm for the general mixed linear programming problemNaval Research Logistics Quarterly, 1965
- A tree-search algorithm for mixed integer programming problemsThe Computer Journal, 1965
- Function minimization by conjugate gradientsThe Computer Journal, 1964
- Partitioning procedures for solving mixed-variables programming problemsNumerische Mathematik, 1962
- An Automatic Method for Finding the Greatest or Least Value of a FunctionThe Computer Journal, 1960
- On the Significance of Solving Linear Programming Problems with Some Integer VariablesEconometrica, 1960
- On quadratic prorammingNaval Research Logistics Quarterly, 1959