I the lower bound for the number of boxes required the first fit decreasing algorithm to estimate the mi ired to ship all figurines. Does the first fit decreasing tion? I by trial and error a solution needing only & boxes

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
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The Ancient Mesopotamians associated each of their deities with a sacred number. An
artist has created figurines of the main deities with the weight corresponding to their
respective number. The artist wants to ship the figurines to an art gallery using boxes
each holding a maximum weight of 90 kilograms. The numbers in the table represent
the weight in kilograms of the figurines:
figurine
Adad
Anum
Ea
Enlil
Girra
Ishtar
Marduk
Ninlil
Ninurta
Nuska
number / weight [kg]
6
60
40
50
10
15
10
45
50
10
Shamash
20
14
Shakan
Sin
30
(a) Find the lower bound & for the number of boxes required to fit all figurines.
(b) Use the first fit decreasing algorithm to estimate the minimum number of boxes
required to ship all figurines. Does the first fit decreasing algorithm give an optimal
solution?
(c) Find by trial and error a solution needing only l boxes.
Transcribed Image Text:The Ancient Mesopotamians associated each of their deities with a sacred number. An artist has created figurines of the main deities with the weight corresponding to their respective number. The artist wants to ship the figurines to an art gallery using boxes each holding a maximum weight of 90 kilograms. The numbers in the table represent the weight in kilograms of the figurines: figurine Adad Anum Ea Enlil Girra Ishtar Marduk Ninlil Ninurta Nuska number / weight [kg] 6 60 40 50 10 15 10 45 50 10 Shamash 20 14 Shakan Sin 30 (a) Find the lower bound & for the number of boxes required to fit all figurines. (b) Use the first fit decreasing algorithm to estimate the minimum number of boxes required to ship all figurines. Does the first fit decreasing algorithm give an optimal solution? (c) Find by trial and error a solution needing only l boxes.
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