A theoretical minimal solution for heuristics: The case of the spatial harvest timber problem

被引:0
|
作者
Restrepo, Hector, I [1 ]
Bettinger, Pete [2 ]
Bullock, Bronson P. [2 ,3 ]
机构
[1] Amer Forest Management Inc, Charlotte, NC USA
[2] Univ Georgia, Harley Langdale Jr Ctr Forest Business, Warnell Sch Forestry & Nat Resources, Athens, GA 30602 USA
[3] Univ Georgia, Warnell Sch Forestry & Nat Resources, Plantat Management Res Cooperat PMRC, Athens, GA 30602 USA
关键词
Statistical optimum estimation techniques (SOET); Statistical bounds; Extreme value theory; Noncentral chi-square (chi(2)); Forestry; COMBINATORIAL OPTIMIZATION; STATISTICAL-INFERENCE; TABU SEARCH; FOREST; PORTFOLIO; OPTIMUM; ASSETS; BOUNDS; MODEL; RISK;
D O I
10.1016/j.cor.2022.105792
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Heuristic methods are widely used to address the spatial optimization of timber harvests at the forest level. These methods have been shown to solve the timber harvest problem in a timely and computationally efficient manner. However, solutions provided by any heuristic are often suboptimal, and inquiries often arise regarding the quality of those solutions. One way to assess the quality of the solutions is to compare them against a minimum solution estimated using probability functions associated with the theoretical distribution of the solution space. A thorough theoretical framework is proposed to estimate the parameters of the probability distribution of the solution space based on the noncentral chi-square (chi(2)) distribution as an underlying distribution for the instances. A case study using the Lincoln Tract dataset suggests that the best objective function out of six thousand solutions was 0.26, whereas the theoretical minimal solution was 2 x 10(-6).
引用
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页数:8
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