lecture 09 - Amrita

lecture 09 - Amrita - Design Strategies Design Strategies...

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Unformatted text preview: Design Strategies Design Strategies Branch & Bound Backtracking Dynamic Greedy Divide & Conquer Divide & Conquer : How to feed a mass of people ? Greedy : What to select from a collection of items ? Dynamic What options should I choose after 10 th class ? What should I do after +2 ? How should I proceed after B.Tech? Backtracking I shall proceed until I get a solution or I hit a dead end. Then I retrace , find an alternate way and follow the same strategy to proceed deep further. Branch & Bound I shall explore all possible options at every level Divide & Conquer : P Divide P 1 P 2 P n Solve Solve Solve Find Global Solution If P: Problem P P 1 P2 P3 P 21 P 22 P 23 P 221 P 222 P 2221 P 2222 P 31 P 32 What to solve? What to solve? Stop at when how to solve is known Then the algorithm is P P 2 P 3 P 1 P 2.1 P 2.2 P 2.3 P 3.1 P 3.2 P 1 P 2.1 P 2.3 P 3.1 P 3.2 P 1 P 2.2.1 P 2.2.2 P 2.2.2.1 P 2.2.2.2 P 1 P 2.1 P 2.3 P 3.1 P 3.2 P 2.2.1 This is strictly not called ‘DIVIDE & CONQUER’ This is not a Design Strategy This is a Design Methodology (Studied in Software Engineering) This is called Top-Down Design Methodology Then What is Divide & Conquer ? In Divide & Conquer it is not the ‘ PROBLEM ’ which is divided , it is the ‘ DATA SPACE ’ of the problem which is divided DATA Partition the data into different ‘groups’ satisfying certain homogeneity conditions Gr 1 Gr 2 Gr 3 Gr k Alg 1 Alg 2 Alg 3 Alg k Solve by ‘specialized’ algorithm suitable for each group One Specific Case Is it possible to get the groups of data in such a way that the same algorithm could be utilized to work on each group of data For Instance : Let us assume that there are two floors in a house Ground Floor First Floor Let us assume each floor has two wings Left Wing Right Wing Let us assume each wing has two rooms Room 1 Room 2 Let us assume each room has two working tables Table 1 Table 2 I have misplaced my ‘mobile’ somewhere?I have misplaced my ‘mobile’ somewhere?...
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This document was uploaded on 04/22/2010.

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lecture 09 - Amrita - Design Strategies Design Strategies...

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