Question

Provide one example of a multi‐objective optimization problem in which the objectives ARE competing. Describe the problem briefly and justify your conclusion.

Answer 1

Answer:

Multi - objective optimization problem -

Multi - objective optimization problem are a set of objective that are to be optimized using a single solution that is best suited.

Example -

The setting up of a new industry can be a better example to multi - objective optimization problem where the various objective are to achieved .

Objective 1 - f1(X)- Maximize the profit

Objective 2 - f2(X)- Minimize the environment pollution

Objective 3 - f3(X)- Ensure better work environment and safety of employees

The main objective here is to maximize the profit but also comply to the environment standards and thus minimising the pollution.

However , this all is not possible without proper safety and healthy work condition and environment and that too is taken care of with maximization of better work environment and safety .

Here , the Pareto - dominated order is the solution for such objective optimization as it allows to compare between the multi - objective vectors in the most precise ways and thus providing solution for that .

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