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|Title: ||THE SCIENCE AND ART OF FORMULATING LINEAR PROGRAMS|
|Authors: ||Ma, Pai-chun|
Murphy, Frederic H.
Stohr, Edward A.
|Issue Date: ||Jun-1987|
|Publisher: ||Stern School of Business, New York University|
|Series/Report no.: ||IS-86-082|
|Abstract: ||This paper describes the philosophy underlying the development of an intelligent
system to assist in the formulation of large linear programs. The LPFORM system allows
users to state their problem using a graphical rather than an algebraic representation.
A major objective of the system is to automate the bookkeeping involved in the
development of large systems. It has expertise related to the structure of many of the
common forms of linear programs (e.g. transportation, product-mix and blending
problems) and of how these prototypes may be combined into more complex systems.
Our approach involves characterizing the common forms of LP problems according to
whether they are transformations in place, time or form. We show how LPFORM uses
knowledge about the structure and meaning of linear programs to construct a correct
tableau. Using the symbolic capabilities of artificial intelligence languages, we can
manipulate and analyze some properties of the LP prior to actually generating a matrix.|
|Appears in Collections:||IOMS: Information Systems Working Papers|
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