29、加速维克里拍卖支付计算的研究与实践

加速维克里拍卖支付计算的研究与实践

1. BACKTRACK 算法介绍

BACKTRACK 算法用于解决组合拍卖中的赢家确定问题，以下是其代码实现：

BACKTRACK (profile, path_value){
    IF (path_value > best){
        IN* -> IN;
        best -> path_value;
    }
    lp_value = LP(profile);
    IF (lp_value + path_value <= best){
        return;
    }
    IF (lp solution is integral){
        IF (lp_value + path_value > best){
            best = lp_value + path_value;
            update IN*;
        }
        return;
    }
    greedy_value = GREEDY(profile);
    IF (greedy_value + path_value > best){
        best = greedy_value + path_value;
        update IN*;
    }
    choose bid b from profile
    delete b from profile
    IN = IN + {b}
    remove all bids b in profile th