ubset of t eir total w value is m

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
6
Consider the table given below. Each item
contains only one unit.
Weights Value in
in Kgs
Item
number
Rupees
1
25
2
2
12
3
3
4
24
6
21
The job is to pick the subset of the above given
item table such that their total weights is less
than 19 and their total value is maximized. T1 is
the total value of items picked by an optimal
algorithm. T2 is the total value of item picked by
greedy approach. Greedy approach is based on
value-to-weight ratios. Assume that no item is
split. The value of T1 - T2 is
Transcribed Image Text:Consider the table given below. Each item contains only one unit. Weights Value in in Kgs Item number Rupees 1 25 2 2 12 3 3 4 24 6 21 The job is to pick the subset of the above given item table such that their total weights is less than 19 and their total value is maximized. T1 is the total value of items picked by an optimal algorithm. T2 is the total value of item picked by greedy approach. Greedy approach is based on value-to-weight ratios. Assume that no item is split. The value of T1 - T2 is
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