The principal mathematical programming methods are described for the designer and researcher not now familiar with these methods. Concentration is on those methods useful for solving the constrained, nonlinear problems typical of ship design applications. The rapidly growing application of these methods in computer-aided ship design is then briefly reviewed to provide a starting point for those interested in specific problem formulation methods and results for ship design applications. Finally a computer program utilizing the external penalty technique with either a Hooke and Jeeves direct search or Nelder and Mead simplex search is presented for use in solving constrained, nonlinear minimization problems. These methods are conceptually simple and the programming is relatively short. By including appropriate input/output cards and two user- supplied SUBROUTINES, the designer can have a reasonably efficient and reliable new design tool at his disposal. The program is used to solve three test problems; the results compare favorably with those obtained using a number of alternative methods. A complete program listing is included.

  • Supplemental Notes:
    • Presented at the First Ship Technology and Research (STAR) Symposium, Washington, D.C., August 26-29, 1975.
  • Corporate Authors:

    Society of Naval Architects and Marine Engineers

    601 Pavonia Avenue
    Jersey City, NJ  United States  07306-2907
  • Authors:
    • Parsons, M G
  • Publication Date: 1975-8

Media Info

  • Features: References;
  • Pagination: 27 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00126941
  • Record Type: Publication
  • Source Agency: Society of Naval Architects and Marine Engineers
  • Report/Paper Numbers: #13
  • Files: TRIS
  • Created Date: Nov 5 1975 12:00AM