In mathematics, optimization is the discipline which is concerned with finding the maxima and minima of functions, possibly subject to constraints. An example of an optimization problem is the following: maximize the profit of a manufacturing operation while ensuring that none of the resources exceed certain limits and also satisfying as much of the demand faced as possible. Optimization has many practical applications in logistics and design problems.
In computer science, optimization is the process of improving a system in certain ways to increase the effective execution speed and/or bandwidth, or reducing memory requirements. Despite its name, optimization does not necessarily mean finding the optimum solution to a problem. Often this is not possible, and heuristic algorithms must be used instead.
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In the optimisation, the design function was chosen to ensure that a positive temperature gradient from the centre of the handle to its seat is produced.
An essential part of the optimisation procedure is the sensitivity analysis, in which the gradients of the objective function(s) and the constraint function(s) with respect to the design variables are evaluated.
To explore the feasibility of shape optimisation in complex three-dimensional castings, a solidification analysis of a gearbox casting was undertaken as shown in Figure 5 which depicts the cast component and feeding system that was surrounded by a sand mould.
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