Question: a) Numerical optimisation tends to look at decision problems that are intractable. Explain why these problems are intractable with the aid of a mathematical argument.

a) Numerical optimisation tends to look at decision problems that are intractable. Explain why these problems are intractable with the aid of a mathematical argument.

b) For a numerical optimisation to give good results a simulation must be implemented correctly. Analyse the consequences of a badly implemented simulation would have on a numerical optimisation algorithm.

(c) Discuss the difference between a deterministic numerical optimisation algorithm and a nondeterministic numerical optimisation algorithm.

(d) A numerical optimisation algorithm can terminate in one of three states. Identify these states and analyse how desirable each state is and the probability for each state to occur.

e) What is the importance of simulator for an optimization algorithm? Which information does it take from the algorithm and what does a simulation result depict?

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