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物資分配的最優方案 草稿

  • 時間: 2016-10-18 13:34:09
  • 點擊率: 130
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物資分配的最優方案 草稿

摘要

  
  救災物資的分配原則會因不同災區受災的實際情況及政府決策者倚重的救災滿意度而不同。本論文確立了兩種分配原則,建立兩個模型從不同角度解決物資的分配問題。
遵從通過合理優化救災物資的分配使其能最大限度降低災害的影響,能更好實現整體分配物資的公平性的原則,模型一首先劃定各物資的優先級,給定適當的權重;接著確定了不同災民受災程度的判定標準。 在此基礎上用救災效果表示整個救災過程使災情降低的程度,并假設每分配出一個最小單位的救災物資就相應產生一定量的救災效果,最終整體救災效果為它們之和。模型的約束條件由各種物資的數量有限得到。求解最終救災效果在約束條件下的最大值,其對應的最優解為最佳分配方案。
遵從使每位災民得到所缺每種物資的相對不滿意度最小的原則,能更好實現災民對物資分配公平合理的滿意度。模型二根據救災物資是否單位可分,將物資的分配按照物資單位可分與單位不可分兩方面處理,每方面又按照充足與不充足兩類情況對待。物資充足的情況按照每名受災者需求每種物資的數量進行分配;物資不充足的情況,利用相對不滿意程度,推導出具有物資公平分配的規律—Q值法,根據每名受災者對每種物資的Q值的大小,將物資公平合理的分配下去。
 
關鍵詞:物資權重,受災程度,相對不滿意度,Q值法

Abstract

Disaster relief materials distribution principle of different areas affected will rely on actual situation and the government policymakers relief satisfaction and different. This paper establishes two allocation principle, establish two model of solving materials from different angles allocation problem.
Follow through optimizing the allocation of reasonable relief goods can minimize its impact, can better disasters in realizing whole distribution of the principle of fairness in the materials, model of various materials delimit a first priority, given the appropriate weight; Then determine the different victims flood degree judgement standards. On this basis with relief effect said the relief process makes disaster reduction of the degree, and assuming each distributed out a minimum unit is corresponding relief goods produced a certain amount of relief effect, and eventually the whole sum for their relief effect. Model by various supplies the constraint conditions of the quantity is limited to get. Solving eventually relief effect in the constraint condition of its corresponding maximum, the optimal solution is the best scheme.
Follow each victims got lacking each resource relative not satisfaction the principle of minimum, the better to distribute supplies realize victims fair satisfaction. Model according to the relief supplies unit can points, whether the distribution according to the material move supplies unit can points and unit indivisible two aspects, each side and handle in accordance with the abundance and not enough two kinds of circumstance seriously. Materials according to the view of every hundred victims of each resource demand quantity distribution; Material is not enough, using relatively dissatisfaction with supplies, is deduced fair distribution rule - Q value method, according to every name victims of Q value of each the size of materials, materials fair and reasonable allocation down.
Key words: Material weight, flood degree, less satisfaction, Q value method

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