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 sinus bradycardia - electrocardiogram, Explain Sinus Bradycardia - ...

Explain Sinus Bradycardia - Electrocardiogram If the SA node discharge rate is slow, the heart rate is slow. ECG is normal in every respect except that the heart rate at rest i

Transport in river valley civilisations, Transport: River Valley civi...

Transport: River Valley civilisations were characterised by  settlements along the rivers and growth of cities which needed, among.other  things, stones and wood from distant

Precautions for fire prevention, PRECAUTIONS FOR FIRE PREVENTION : In the ...

PRECAUTIONS FOR FIRE PREVENTION : In the event of fire or explosion occurring there should be a prearranged plan of the necessary action to be taken. All personnel must be made aw

How a rock was formed, Which would give the best indication of how a rock w...

Which would give the best indication of how a rock was formed: mineralogy and texture

How do time and temperature work in soil formation, How do time and tempera...

How do time and temperature work in soil formation?   The time taken for the soil formation may be more  in some cases  or less in others. Hard rocks  require more time as comp

Define precautions for estimation of iron in the solution, Define Precautio...

Define Precautions for Estimation of Iron in the Solution? 1. Washing of glassware for iron estimation is important. Insufficient washing for iron removal may cause fluctuation

Define calculi and casts - abnormal constituent of urine, Define Calculi an...

Define Calculi and casts - abnormal constituent of urine An abnormal concretion in the body usually formed of mineral salts and found in the gall bladder, kidney or urinary bla

Placement of first aid box-accidents and first aid, Placement of First Aid ...

Placement of First Aid Box : All first aid equipment should be placed close to the sites where accidents are likely to occur. The location of first aid boxes should be such that t

Microscope, explain the parts of the microscope

explain the parts of the microscope

Chronic condition presentation type 2 diabetes, You can present this assign...

You can present this assignment using the format of your choice, e.g. Poster, webpage, booklet, animation, short film etc. Select a chronic condition (Type 2 Diabetes) and develop

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