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

Benchmark, Due Date: Apr 17, 2017 23:59:59 Details: Throughout the ...

Due Date: Apr 17, 2017 23:59:59 Details: Throughout the course, you have studied and written about a number of counseling theories that are used as the basis for the counse

Explain physiology of gastrointestinal system, Explain Physiology of Gastro...

Explain Physiology of Gastrointestinal System In this unit we shall focus on the gastrointestinal system. The gastrointestinal system, you would realize, is also referred to as

First aid treatment for shock, FIRST AID TREATMENT FOR SHOCK : Some de...

FIRST AID TREATMENT FOR SHOCK : Some degree of shock is produced in most accidents. Shock is associated with changes in the system of blood circulation varying from temporary

What is the time complexity of a convolution, 1. What is the time complexit...

1. What is the time complexity of a convolution with an n by n sized kernel when using a direct convolution with a 2d mask, and when using a separable kernel. Each of the answers i

Heat crossword, what is the unit that heat is measured in

what is the unit that heat is measured in

Ethical issues concerning use of animals for experimentation, Ethical issue...

Ethical issues concerning use of animals for experimentation and educational purposes (i) Animals procured, handled and looked after according to the regulatory principles laid

Enumerate in brief about the earthworms, Enumerate in brief about the Earth...

Enumerate in brief about the Earthworms There are several species of earthworms, having slender cylindrical bodies with varying diameters. These organisms ingest the dead organ

Weighing moisture again, Weighing moisture again The similar experiment...

Weighing moisture again The similar experiment can be done with a bath towel. Wet the towel and wring it out. Hang it on a coat hanger. Hang the coat hanger on single end of a

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