Annals of Operations Research

, Volume 14, Issue 1, pp 291–304 | Cite as

Solving a large nonlinear programming problem on a vector processing computer

  • J. Plummer
  • L. S. Lasdon
  • M. Ahmed


In an earlier paper, the authors formulated an acoustic antenna array design problem as a nonlinear program. Computation times for large problems (about 400 sensors) were in the range of 8 to 10 hours on a Vax 11/780. Most of this time was spent in computing the objective function and its gradient. This paper describes how these computations (and these only) were recoded to exploit the vector processing capabilities of a Cray 1-M computer. Run times are reduced to less than one minute. The results have implications for many nonlinear programs whose function evaluations are very time consuming.


Objective Function Computation Time Function Evaluation Programming Problem Design Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© J.C. Baltzer A.G., Scientific Publishing Company 1988

Authors and Affiliations

  • J. Plummer
    • 1
  • L. S. Lasdon
    • 1
  • M. Ahmed
    • 2
  1. 1.Department of Management Science and Information SystemsUniversity of TexasAustinUSA
  2. 2.Naval Underwater Systems Center, Code 3292New LondonUSA

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