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 term pulse milling, Pulse Milling Milling of pulses consis...

Pulse Milling Milling of pulses consists of 2 steps: loosening the husk and its removal followed by splitting into dhal. Loosening of the husk referred to as "pre-milling trea

Construction standards set by bureau of indian standards, CONSTRUCTION STAN...

CONSTRUCTION STANDARDS SET BY BUREAU OF INDIAN STANDARDS : At the construction stage itself, the design of the laboratory buildings should be made in accordance with safety norms.

In what way is crop rotation good for soil management, In what way is crop ...

In what way is crop rotation good for soil management? Continuous cultivation of a single crop over the years on the same site causes accumulation of a particular group of micr

Electricity, why do we get shock when we touch an open wire?

why do we get shock when we touch an open wire?

Scientific activities, describe the factors which decide the broad area of ...

describe the factors which decide the broad area of scientific activity

Explain the freezing systems, Freezing Systems Different types of free...

Freezing Systems Different types of freezing systems are available for foods. No single freezing system can satisfy all freezing needs, because of the wide variety of food pro

Ecological Restoraton, Please furnish me with the basic restoration plan f...

Please furnish me with the basic restoration plan for the Marshall wetland located in Liberia. This wetland is of mangrove type, has invasive species (c. Odorata, has a physical p

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