Can you give an example of an NP optimisation problem? What does the acronym NP stand for and mean in this context? Why can it be difficult for optimisation algorithms to find a global optimum for such problems (particularly as the problem size gets bigger)? What are deterministic algorithms and how do they differ from non-deterministic algorithms? Give an example of each. Why do non-deterministic algorithms often perform better than deterministic algorithms on NP problems? What does Q-convergence measure? Give a definition for Q-convergence. What does it mean when a numerical optimisation algorithm has Q-linear convergence?

Can you give an example of an NP optimisation problem? What does the acronym NP stand for and mean in this context? Why can it be difficult for optimisation algorithms to find a global optimum for such problems (particularly as the problem size gets bigger)? What are deterministic algorithms and how do they differ from non-deterministic algorithms? Give an example of each. Why do non-deterministic algorithms often perform better than deterministic algorithms on NP problems? What does Q-convergence measure? Give a definition for Q-convergence. What does it mean when a numerical optimisation algorithm has Q-linear convergence?

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

(a)
(b)
(c)
Can you give an example of an NP optimisation problem? What does the acronym NP stand
for and mean in this context? Why can it be difficult for optimisation algorithms to find a
global optimum for such problems (particularly as the problem size gets bigger)?
What are deterministic algorithms and how do they differ from non-deterministic
algorithms? Give an example of each. Why do non-deterministic algorithms often perform
better than deterministic algorithms on NP problems?
What does Q-convergence measure? Give a definition for Q-convergence. What does it
mean when a numerical optimisation algorithm has Q-linear convergence?

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