A 17/10-approximation algorithm for k -bounded space on-line by Zhang G.

By Zhang G.

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8), the denominator is 1 and hence s e* = Y,

2 DMU A B C D E F X2 4 3 7 3 8 1 4 2 2 4 10 1 y 1 1 1 1 1 1 Xi This problem can be solved by a linear programming code. It can also be solved by simply deleting V2 from the inequalities by inserting V2 — (1 — ^vi)lZ and observing the relationship between vi and u. 8571. By applying the optimal solution to the above constraints, the reference set for A is found to be EA = {D^ E}. 6316, and the reference set is EB = {C, D}. 2105. 0526 := 4 suggests that it is advantageous for B to weight Input X2 four times more than Input xi in order to maximize the ratio scale measured by virtual input vs.

6667 x 3 = 2 will position C on the frontier. And so on. 6n Efficient Frontier 40) CO y m H «x-^ 5- 3 - X *o '^ 00 2- •c •G V 1 0- C , ,— 2 1 1 1 1 3 4 5 6 1— 1 1 Employee Figure 2 . 1 . 3 shows 6 DMUs with 2 inputs and 1 output where the output value is unitized to 1 for each DMU. (1) The linear program for DMU A is: A > max subject to e=u 4vi + 3^2 = 1 u < 4:Vi + 3i'2 U < 8Vi + V2 u < 21^1 + Av2 {A) (C) {E) u <7vi-{- 2>V2 u < Avi + 21^2 U < lOi^i + V2 where all variables are constrained to be nonnegative.

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