Brown–Gibson model

The Brown–Gibson model is one of the many techniques for multi-attribute decision making. The method was developed in 1972 by P. Brown and D. Gibson.[1] This is one of the few models which integrates both objective and subjective factors in decision making.

The Brown–Gibson model can be mathematically represented as follows:

${\displaystyle M_{i}=C_{i}\cdot {\big [}D\cdot O_{i}+(1-D)S_{i}{\big ]}}$

where

M_i = measure for an alternative i

C_i = critical factor measure, which could be either 0 or 1 for an alternative i

O = objective factor measure, which could be between 0 and 1; however, the sum of all objective factor measures for different alternatives should add back to 1

S = subjective factor measure, which could be between 0 and 1; however, the sum of all subjective factor measures for different alternatives should add back to 1

D = objective factor decision weight; should be between 0 and 1

One would select the alternative whose measure is the highest.

References

1. Brown, Phillip A.; Gibson, David F. (1972). "A Quantified Model for Facility Site Selection-Application to a Multiplant Location Problem". AIIE Transactions. 4 (1). Taylor & Francis: 1–10. doi:10.1080/05695557208974822.

See also

• Analytic hierarchy process (AHP)
• Ordinal Priority Approach (OPA)