Dimensional Consistency

This forum contains all archives from the SD Mailing list (go to http://www.systemdynamics.org/forum/ for more information). This is here as a read-only resource, please post any SD related questions to the SD Discussion forum.
Locked
Joel Rahn
Junior Member
Posts: 6
Joined: Fri Mar 29, 2002 3:39 am

Dimensional Consistency

Post by Joel Rahn »

geoff coyle wrote:

> Yes, its very true but, as far as I am aware, SD is the only operaional
> resarch technique that even mentions dimensions.
>

I am surprised by Geoffs remark. In our introductory course in OR (mostly linear
programming) in a business school, we always mention the importance of checking
that the units of measurement (dimensions) of the left-hand side of a constraint
must match those of the right-hand side -to the point of discussing the dimensions
of the coefficients that multiply the activity or decision variables on the rhs.
In some contexts the rhs is called a representation of the technology i.e. the
usage of a capacity by multiple activities and the lhs is the capacity that is
available. But even if the constraint is an accounting convention like an
inventory constraint, the individual terms all have to have the same units of
measure, as they must also in the objective function. Of course, we are one of the
last business schools in North America still teaching the Simplex algorithm in
the introductory course (as verified by a survey at an INFORMS summer school), so
I guess that makes us very old-fashioned, very old-fashioned indeed...

Joel Rahn
joel.rahn@fsa.ulaval.ca
Locked