Operations Management: Processes and Supply Chains, 12th Edition

Key Equations

Load–Distance Method

1. Euclidean distance: $d_i=\sqrt{{\left(x_i-x\ast \right)}^2+{\left(y_i-y\ast \right)}^2}$

2. Rectilinear distance: $d_i=\left|x_i-x\ast \right|+\left|y_i-y\ast \right|$

3. Load–distance score: $ld={\displaystyle \underset{i}{\Sigma }{l}_i{d}_i}$

4. Center of gravity: $x\ast =\frac{{\displaystyle \underset{i}{\Sigma }{l}_i{x}_i}}{{\displaystyle \underset{i}{\Sigma }{l}_i}}\text{and}y\ast =\frac{{\displaystyle \underset{i}{\Sigma }{l}_i}{y}_i}{{\displaystyle \underset{i}{\Sigma }{l}_i}}$