Suppose U is set of objects, E is a set of {0,1}-valued parameters ' ]( Z. Y0 |2 v# z6 J U 0 Q5 n' Z8 C$ I6 I% T2 dfor describing objects in U. For any u in U, define an additive utility " D+ F* G n8 L
& d$ B) W: f. v
function f as follows: : {8 D" W+ M7 {9 r9 J) K" I * o; f2 y7 o9 H4 a- w f (u ) e (u ), (对e属于E,e(u)求和) 4 Y+ y% R. f; y ; Y1 D, {+ @4 p& \' ]5 ^* ] e E 2 y; J) a- m1 w1 F2 V ; G$ @* Q6 \; K2 ^where e(u ) 0,1. u is called an optimal solution if it is one of the 0 M/ R0 _8 D; ^) P- `+ ~( w* t 2 F: }, ?; _9 n- Zmaximum points of function f with respect to normal order. For ' U& S! S* t0 E/ g% l# a4 R9 |
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certain reasons, some values are missing. It costs if we want to find 8 E6 x% d# d2 D8 A% T- T2 A/ c 3 M2 _. u) n1 |6 P2 S S; {' [out what these values are. We assume that we know nothing about * f: M& j+ [ s1 l% j- l$ m8 c! d' t2 q; ]: F9 ?1 O
the probability of these values being 0 or 1. So my questions are: / m; x' d y/ A( g" v4 n1 w 0 X7 n% V( }$ ` O/ l1 j0 p& ?: e(1.) Which unknown value should we figure out firstly if we want to 7 K$ P0 A8 M- I P( G5 b8 e. M) @: I$ N: J6 W
find at least one optimal solution?