Numerical procedures for input–output analysis

摘要

Input–output analysis is one of the most important tools of management science, one ideally suited to today's ubiquitous PC. The present paper introduces the method with a miniscule solution routine. With this Lagrange multiplier constraints are easily included and the resulting formulation is then condensed to an equivalent penalty factor result, simple cases of this being especially easy to use in practice. Finally, a general purpose band solution routine of the type much used in the Finite Element Method is given, it being useful to structure IOA models in an `element' fashion and, indeed, to understand the continuum character that large IOA models may possess.