Integer programming and pricing revisited


Williams, H.P. (1997) Integer programming and pricing revisited. IMA Journal of Management Mathematics, 8, (3), 203-214. (doi:10.1093/imaman/8.3.203).

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Original Publication URL: http://dx.doi.org/10.1093/imaman/8.3.203

Description/Abstract

Three applications of duality are mentioned: mathematical, computational, and economic. One of the earliest attempts toproduce a dual of an integer programme with economic interpretations was by Gomory & Baumol in 1960. This is describedtogether with its economic properties and some refinements and corrections. A more recent integer programming dual due to Chvátal, whose main use to date has been computational, is then described. It is shown that this can be given an economic interpretation as a generalization of Gomory & Baumol‘s dual which rectifies some of the deficiencies of the latter. The computational problems of calculating Chvátal’s dual are remarked on.

Item Type: Article
ISSNs: 0953-0061 (print)
Related URLs:
Subjects: H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Operational Research
ePrint ID: 29655
Date Deposited: 03 Jan 2007
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/29655

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