Business Applications of Operations Research

CHAPTER 4

Cable Layout

Let us consider 10 neighbouring towns A, B, C, D, …, J. The roads connecting the 10 towns are shown in Figure 4.1.

The distances (in miles) between pairs of neighbouring towns are given in Table 4.1. Distances are not given for towns that do not have a direct road connecting them; for example, towns A and F do not have a road connecting them.

Figure 4.1

Table 4.1

A	B	C	D	E	F	G	H	I	J
A	–	20	30	10	40	–	–	15	25	–
B	20	–	35	–	15	20	25	–	–	10
C	30	35	–	12	18	–	32	22	28	16
D	10	–	12	–	17	20	–	24	32	28
E	40	15	18	17	–	13	19	12	21	34
F	–	20	–	20	13	–	15	30	25	22
G	–	25	32	–	19	15	–	18	12	17
H	15	–	22	24	12	30 ...