Efficient Optimization with Related Discrete Variables--    Application to the Design of Steel-Framed Buildings
{'Code': '07030000', 'Directorate': {'Abbreviation': 'ENG', 'LongName': 'Directorate For Engineering'}, 'Division': {'Abbreviation': 'CMMI', 'LongName': 'Div Of Civil, Mechanical, & Manufact Inn'}}
{'SignBlockName': 'William Hakala', 'PO_EMAI': None, 'PO_PHON': None}
The objective of the research is two-fold.  First, algorithms will be           developed for solving nonlinear optimization problems in which some of          the variables may assume certain combinations of discrete values.               These algorithms must be efficient in terms of minimizing the amount of         analysis required to solve the problem.  Second, these algorithms will          be tested by implementing them into a general-purpose computer program          for selecting beams and columns for rectangular steel-framed buildings.         The approach for solving optimization problems with related discrete            variables consists of:  (1) executing a pre-processing algorithm which          generates constraints enclosing the available combinations of discrete          values, (2) executing standard nonlinear programming software to obtain         the continuous optimun, and (3) executing a post-processing algorithm           to find the discrete optimum within a neighborhood of the continuous            optimum.
{'FirstName': 'Richard', 'LastName': 'Balling', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard J Balling', 'EmailAddress': 'balling@byu.edu', 'NSF_ID': '000426086', 'StartDate': '01/15/1986', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Brigham Young University', 'CityName': 'PROVO', 'ZipCode': '846021128', 'PhoneNumber': '8014223360', 'StreetAddress': 'A-153 ASB', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Utah', 'StateCode': 'UT', 'CONGRESSDISTRICT': '03', 'CONGRESS_DISTRICT_ORG': 'UT03', 'ORG_UEI_NUM': 'JWSYC7RUMJD1', 'ORG_LGL_BUS_NAME': 'BRIGHAM YOUNG UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1442', 'Text': 'CONSTRUCTION AND INFRASTRUCTUR'}
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