a. | What is the location of an emergency
facility that minimizes expected travel time?
|
b. | A regional planning committee wishes
to designate "emergency artery" roads so that all the demand points are
connected in time of snow. If the criterion is to select the minimum total
length (in terms of travel time) of emergency artery roads, what are the
corresponding roads?
|
c. | What is the median and the absolute
center with respect to the emergency artery roads only?
|
d. | Note that nodes E, G, C, and F are
demand points with large demand rate. By inspection, determine the minimum
network (subgraph) that connects these points.
|
e. | How will the solution in part (d)
change if J is also included in the required subgraph ?
|
f. | Comment on the answers of parts (d)
and (e). Is there any special network structure for these subgraphs?
|
g. | Find a "good" traveling salesman tour
on this graph. (Your tour need not be optimal and you may use any approach
you wish.)
|
h. | What is the length of the optimum
Chinese postman tour of this network?
|