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

Social scientists, Write an essay to answer the following question: How ca...

Write an essay to answer the following question: How can social scientists explain human behaviour scientifically?Discuss the merits and limitations of the applications of the sci

Explain the menstrual phase - menstrual cycle, Explain the Menstrual Phase ...

Explain the Menstrual Phase - Menstrual Cycle If the ovum is not fertilized, a high level of progesterone in the blood inhibits the activity of pituitary gland and the producti

Human impact, In what ways does over-grazing lead to soil erosion?

In what ways does over-grazing lead to soil erosion?

Coping stress, Ask question #Minimum 100 words acceptedYou are caring for a...

Ask question #Minimum 100 words acceptedYou are caring for a 29-year-old woman who is married with two small children, ages 1 and 3 years, at home. She is recuperating from a left

Stars in the limelight , Stars in  the Limelight: Among Galilee's my di...

Stars in  the Limelight: Among Galilee's my discoveries with the telescope was his observation that the white nebulous band  In  the sky known as the Milky Way (Akash cranga) w

Define the term amplitude, Define the term Amplitude In simpler terms, ...

Define the term Amplitude In simpler terms, amplitude is the amount or relative value of a signal. Amplitude is measured in units of pressure e.g. Newtons/sq. m. But what is ph

Explain role of the mucous in body systems and organs, Explain Role of the ...

Explain Role of the Mucous in Body Systems and Organs - The gastrointestinal tract: The microbes which enter through the mouth are caught in the mucous and eliminated with sput

##ssssslzlxslzlxxzllzxl\xl\x;slsc zzzzxm, Ask question #slslslslslss;s;a;s;...

Ask question #slslslslslss;s;a;s;xsppfjeerrtu uy ueueq fufa sf e rht rh oohs erh uh ff d euooeoe eryur r ir eer uryr ouruufhfskj u hegg hgg e eru rers ogg eroh ejhr err ef

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