On the integration of data and mathematical modeling languages

Abstract

This paper examines Ways in which the addition of data modeling features can enhance the capabilities of mathematical modeling languages, and demonstrates how such integration might be achieved as an application of the embedded languages technique proposed by Bhargava and Kimbr-ougMDecision'making, and decision support systems, require the representation and manipulation of both data and mathematical models. Several data modeling languages as well as several mathematical modeling languages exist, but they have differences sets of capabilities. We motivate with a detailed example the need for the integration of these languages. We describe the benefits that might result, and claim that this could lead to a significant improvement in the functionality of model management systems. Then we present our approach for the integration of these languages, and specify how the claimed benefits are realized.

Database structures for mathematical programming models

“…One possibility for a more tightly integrated arrangement, described by Bhargava, Krishnan and Mukherjee [3], introduces a third embedding language in which the correspondence between the LP system's data scheme and the database system's data scheme can be formally specified. Under most current approaches to tight integration, however, there is one data scheme that dominates.…”