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NESC0738 ARSTEC

ARSTEC, Nonlinear Optimization Program Using Random Search Method

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1. NAME OR DESIGNATION OF PROGRAM:  ARSTEC
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2. COMPUTERS
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Program name Package id Status Status date
ARSTEC NESC0738/01 Tested 01-MAY-1979

Machines used:

Package ID Orig. computer Test computer
NESC0738/01 IBM 370 series IBM 370 series
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3. DESCRIPTION OF PROBLEM OR FUNCTION

The   ARSTEC    program   was
written to solve nonlinear,  mixed integer, optimization problems.
An  example of  such  a problem  in the  nuclear  industry is  the
allocation of  redundant parts  in the design  of a  nuclear power
plant to minimize plant unavailability.
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4. METHOD OF SOLUTION

The technique used in  ARSTEC is the adaptive
random search  method.  The  search is  started from  an arbitrary
point in  the search region and  every time a point  that improves
the objective function is found, the  search region is centered at
that new point.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

   Presently,   the
maximum number of  independent variables allowed is  10.  This can
be changed by increasing the dimension of the arrays.
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6. TYPICAL RUNNING TIME

Running time is problem-dependent. The NESC executed the sample problem in 2 CPU seconds on an IBM370/195.
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7. UNUSUAL FEATURES OF THE PROGRAM:
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8. RELATED AND AUXILIARY PROGRAMS:
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9. STATUS
Package ID Status date Status
NESC0738/01 01-MAY-1979 Tested at NEADB
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10. REFERENCES

- G.R. Burdick, D.M. Rasmuson, and J.R. Wilson:
  An Investigation Concerning a Risk-Based Approach to Design of
  Liquid Metal Fast Breeder Reactor Plants
  EG&G Idaho report, RES-76-174 (September 1976).
- M.W. Heuckroth, L.D. Gaines,  J.L. Gaddy:
  An Examination of the Adaptive Random Search Technique, 79th
  National American Institute of Chemical Engineers Meeting,
  Houston, Texas (March 1975).
NESC0738/01, included references:
- D.M. Rasmuson and N.H. Marshall:
  ARSTEC - A Computer Program for Solving Nonlinear, Mixed Integer
  Optimization Problems Using the Adaptive Random Search Technique
  EG&G Idaho report, RE-S-76-180 (October 1976).
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11. MACHINE REQUIREMENTS:  Card  reader, printer,  and  125K bytes  of
memory
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NESC0738/01 FORTRAN-IV
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:   OS/MVT.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

   The
user must specify the objective function via a function subroutine
FUNCT and the constraints in a logical function subroutine CNSTRN.
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15. NAME AND ESTABLISHMENT OF AUTHORS

                 D. M. Rasmuson and N. H. Marshall
                 EG&G Idaho, Inc.
                 P. O. Box 1625
                 Idaho Falls, Idaho  83401
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16. MATERIAL AVAILABLE
NESC0738/01
File name File description Records
NESC0738_01.001 SOURCE PROGRAM (F4,EBCDIC) 272
NESC0738_01.002 SAMPLE PROBLEM INPUT DATA 7
NESC0738_01.003 SAMPLE PROBLEM PRINTED OUTPUT 562
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17. CATEGORIES
  • P. General Mathematical and Computing System Routines

Keywords: adaptive random search method, nonlinear problems, optimization.