A taxonomy of indexing structures for mathematical programming modeling languages

Author

Geoffrion, Arthur M.

Author_Institution

John E. Anderson Graduate Sch. of Manage., California Univ., Los Angeles, CA, USA

Volume

iii

fYear

1990

fDate

2-5 Jan 1990

Firstpage

463

Abstract

The author proposes a taxonomy of the most commonly used indexing structures for mathematical programming modeling languages, and illustrates it with 25 examples stated in plain but precise English. The examples were designed with these criteria in mind: span the taxonomy of indexing structures; bring out clearly the important points requiring discussion in a thorough study of indexing; be simple yet obviously of practical relevance; demonstrate the main indexing capabilities of the leading modeling languages for mathematical programming; and be nonredundant, but build on one another when possible. The present work is an independently useful part of a full report (A.M. Geoffrion, 1989) which works all 25 examples in AMPL, GAMS, LINGO, and SML, and uses the results to evaluate the relative merits of these languages

Keywords

mathematical programming; simulation languages; AMPL; GAMS; LINGO; SML; indexing structures; mathematical programming modeling languages; nonredundant; Design optimization; Indexing; Mathematical model; Mathematical programming; Natural languages; Relational databases; Taxonomy;

fLanguage

English

Publisher

ieee

Conference_Titel

System Sciences, 1990., Proceedings of the Twenty-Third Annual Hawaii International Conference on

Conference_Location

Kailua-Kona, HI

Type

conf

DOI

10.1109/HICSS.1990.205379

Filename

205379