Explain how to solve the evacuation route problem, Science

Assignment Help:

You are the mayor of a beautiful city by the ocean, and your city is connected to the mainland by a set of k bridges. Your city manager tells you that it is necessary to come up with an evacuation plan in the event of a hurricane. Your idea is to add a sign at each intersection pointing the direction of the route to the closest of the k bridges. You realize that this can be modeled as a graph problem, where the street intersections are nodes, the roads are edges, and the edge weights give the driving time between two adjacent intersections. Note that some of the roads in your city are one-way roads.

(a) Explain how to solve the evacuation-route problem in O(mlog n) time, where n is the number of intersections and m is the number of streets connecting two adjacent intersections. Note that the number of bridges k is not a constant, that is, it may depend on n and m. Therefore, a running time of O(k · mlog n) is not an acceptable solution. (Although I will give half credit for such a solution.) The output of your algorithm will be a labeling of the intersections, with an arrow pointing to the road to take to the closest bridge.

(b) Some of the bridges can hold more capacity than others. For 1 ≤ i ≤ k, we associate a positive numeric weight ci with each bridge. To encourage people to use bridges with higher capacity, we treat distances to different bridges differently. In particular, if δ is the actual distance from some intersection to bridge i, we assign it a capacity-weighted distance of δ/ci. Therefore, the higher the bridge capacity is, the lower the weighted distance. Present an O(mlog n) time algorithm to solve the evacuation-route problem using capacity-weighted distances. (Again, I will give half credit for a solution running in O(k · mlog n) time. Problem 4 additional info: 2b - some of the bridges will be higher capacity. Their weights will be function of (distance/number of lanes) → this will give us shorter weight and we can treat it as a better route to take even though the distance is farther away.


Related Discussions:- Explain how to solve the evacuation route problem

Explain the factors controlling movements of gall bladder, Explain the Fact...

Explain the Factors Controlling Movements of Gall Bladder Contraction of gall bladder can be controlled by reflex action, by the presence of foodstuff in the duodenum and by th

Chemical fertilizer should be supplemented by organic manure, Why chemical ...

Why chemical fertilizers should be supplemented by organic manure? Exclusive use of chemical fertilizer will eliminate organic matter and thus organisms from the soil. Important

Life of a star, Life of a Star: A young star is thought  to be composed...

Life of a Star: A young star is thought  to be composed largely of  hydrogen gas. Hence, the most likely place for a star to be born is in one of  the numerous clouds of hydrog

Explain immunoglobulin m - classification of antibodies, Immunoglobulin M -...

Immunoglobulin M - Classification of Antibodies Protects against bacteria, gives an early immune response, present on surface of lymphocytes. It stays confined to blood stream

Define age related changes in excretory system, Define age related changes ...

Define age related changes in Excretory System There is a progressive decrease in the number and size of nephrons fiasic unit of the kidney). There is a 10% decrease in renal p

DBMS, If two relations R and S are joined, then the non matching tuples of ...

If two relations R and S are joined, then the non matching tuples of both R and S are ignored in

Explain sialography, Question 1. Explain Sialography? How will you perf...

Question 1. Explain Sialography? How will you perform the same? 2. How will you set up your radiology department to take up the IVU studies? 3. Discuss how fluoroscopy di

Friction, essay on friction is a necessary evil

essay on friction is a necessary evil

Cholestrol, short notes of cholestrol

short notes of cholestrol

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd