1 mean control
Mean control is the overall average selection method for the elements to be optimized. The basic idea is that there are sorted elements A={a 1 , a 2 ,..., a n }, and the sequence of elements that have been arranged is
Face=symbol>a=a (1) a (2) ...a (k) , a i ∈A,i∈[1,k]; sorting element a △ ∈A, unsorted element sequence b=b (1 ) b (2) ...b (p) , b (j) ∈A, j∈[1,p], p+k=n-1.
There is an evaluation function F(a, aΔ, b, C), where C is (
Face=symbol>a, aΔ, b) and other object functions. due to
Face=symbol>The total number of arrangement of a and b is the factorial multiple of the total number of elements they contain, and the objective function F is a function of the arrangement of a and b,
Face=symbol>The number of elements of a and b is slightly larger. To find the optimal F and its a, aΔ, b in an exhaustive way, there is a problem that the calculation amount is too large. If put
Face=symbol> The elements of a and b and their effects on F are treated on average, as
Face=symbol>a is only composed of k identical "average" elements, b is composed of p identical "average" elements, then F is only considered for what elements a, aΔ, b are composed of, and need not be considered. How it is arranged. Select all the elements in b as a Δ, find one of the best F, and the corresponding a Δ is fixed. By analogy, the elements of b can be arranged in order.
It can be proved that this algorithm is a polynomial algorithm.
2.1 Evaluation function
In the FMS, parts are formed according to the processing order of a plurality of parts and the process requirements of each part, thereby selecting different types of tools. There can be more than one tool of the same type, and the selection of these sister tools with identical machining functions is the object of this paper.
Although the processing functions of sister tools are the same, their service life is not necessarily the same. It is always hoped that each tool will exhaust its life and there will be as few "corners left". The evaluation function F is established according to this goal. In the part-to-tool requirement sequence, a is taken as a set of already arranged elements, aΔ is the element being tested, and b is the set of elements not arranged.
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