Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback21 pages $20.00 $16.00 20% Web Discount

An examination of the relationship between formulation and design. The main aspects of mathematical formulation are the development of definitions of variables and the functional relationships of the variables required to model the situation under study. The design of an efficient mathematical formulation is an activity analogous to other engineering design activities: it requires an intimate knowledge of the problem being studied and an ability to evolve novel approaches to the design. In this paper, the design aspects of mathematical formulation are discussed as follows: (1) statement of the problem to be formulated; (2) definitions and relationships for a first design; (3) redesign to reduce the number of unknowns, variables, and constraints; (4) refinement of the redesign; and (5) generalization to a multiproject scheduling problem. Despite complex symbolism, only algebraic manipulations are employed.

This report is part of the RAND Corporation paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.