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It is obvious from the Table 1 that the result obtained by HS algorithm is more
economic than those reported previously in the literature.
4 Machining Process
There are many kinds of machining operations such as turning, drilling, boring and
milling, each of them being capable of generating a certain part geometry and surface
texture. To provide comprehensive information for optimization of machining
operations in a reasonable length, the detailed description of all methods is not
presented here, as these can be found in machining textbooks [52]. Instead, we focus
only on the milling process in this section.
In milling, a rotating tool with multiple cutting edges is moved slowly relative to
the material to generate a plane or straight surface (Fig. 7). The primary motion is
accomplished at a certain cutting speed. In addition, the tool must be moved laterally
across the work. This is a much slower motion, called the feed. The remaining
dimension of the cut is the penetration of the cutting tool below the original work
surface, called the depth of cut. Collectively, speed, feed, and depth of cut are called
the cutting parameters.
The cost, time and quality of production are highly dependent on the cutting
parameters. Thus, determination of optimal cutting parameters with regard to
technological requirements, capability of machine tool, cutting tool and the part
material is a crucial task in the process planning of parts. Several approaches such as
feasible direction method [53], dynamic programming [54], geometric programming
[55], and genetic algorithm [56, 57] have been introduced so far for the optimization
of cutting parameters. This section will focus on the application of HS for the optimi-
zation of cutting parameters.
Fig. 7. Typical milling tools
4.1 Problem Formulation for Milling Process
The machining operation can be divided into the roughing and finishing operations. In
the roughing operation a large amount of material from the starting workpart is
removed as rapidly as possible in order to produce a shape close to the desired form,
but some material is left on the piece for a subsequent finishing operation. Finishing
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