Chapter 11.8, Problem 26P

(a)

Summary Introduction

Interpretation: Optimal location is to be determined when the objective is to minimize the total rectilinear distance to the three existing facilities.

Concept Introduction:

Rectilinear distance refers to sum of distance between two facilities. Rectilinear distance can be defined by the following formula.

  ${\text{|X}}_{\text{1}}{\text{-X}}_{\text{2}}{\text{|+|Y}}_{\text{1}}{\text{-Y}}_{\text{2}}\text{|}$

(b)

Summary Introduction

Interpretation: Optimal location is to be determined when the objective is to minimize the total Euclidean distance to the three existing facilities.

Concept Introduction:

Euclidean distance is nothing but the simple measurement of straight line lies between two facilities.