Optimal Weightlifting

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Optimal Weightlifting
Gary L Lilien
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, i ij ij i ij i*j i, i*j= 1, ... 7; that is, clean-and-jerk strategy is independent of snatch results.
Proof: Assume the snatch competition is over, that X = X.^, i*e (0, 1, . . . 7) The current, conditional problem is now to y yv(Y_, . + x, ^) R, I, .^ ^ ' ij i* ij I i=i* max subject only to constants on (Y } or (lb) Looking at Table 2, ^ij|i=i* can be written as f({s } f>^ where 6_, . Is, 1 if i=i* i* otherwise The objective function above is then yyv(X + Y. . ) R. .
yyVj^(X)R^. + yyV2(Y^. )
...R.. (by the given separability) Vi(X)nRij +):iV2(Y^. )f({s. })6. , \W + I V2(Y. )f({s }) j=0 7 Constant + I V (Y .^ . ) f ({ s. }) 2=0 ^ ^ J -14- The above objective will be the same for any i*, and strictly depends only on j.
Thus Y^ . = Y... , i, i* c (0, ... 7), proving the theorem.
A particular case of this theorem is the following: Lemma: When tlio objective Is expected weight maximization or weight-range maximization, 1st and 2nd category lift strategies are independent. Proof : Result follows as a special case of the theorem.


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