系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2015年
2期
291~299
,共null页
可耗竭资源 最优控制 最优消费模型 污染约束
可耗竭資源 最優控製 最優消費模型 汙染約束
가모갈자원 최우공제 최우소비모형 오염약속
exhaustible resources; the optimal control; the optimal depletion model; pollution constraints
假设完全竞争市场条件下, 运用最优控制理论, 以社会福利最大化为目标, 将污染因素充分体现在效用函数及约束条件中,构建了污染约束下可耗竭资源最优消费模型并给出具体解析解. 结果表明： 消费函数是初始资源储量与初始污染存量比值及初始污染存量与初始资本投入比值的减函数; 在一定条件下, 消费量最大值与其初始值比值是贴现值的减函数, 该比值也是初始资源储量与初始资本投入比值及初始污染存量与初始资本投入比值的增函数. 由此得出结论： 污染的初始值较高会使得消费减少, 遏制经济的增长, 这说明从居民消费角度看, 经济增长与治理污染并不相悖, 而是相辅相成的. 该结论对促进我国增加治理污染的投入有积极的作用.
假設完全競爭市場條件下, 運用最優控製理論, 以社會福利最大化為目標, 將汙染因素充分體現在效用函數及約束條件中,構建瞭汙染約束下可耗竭資源最優消費模型併給齣具體解析解. 結果錶明： 消費函數是初始資源儲量與初始汙染存量比值及初始汙染存量與初始資本投入比值的減函數; 在一定條件下, 消費量最大值與其初始值比值是貼現值的減函數, 該比值也是初始資源儲量與初始資本投入比值及初始汙染存量與初始資本投入比值的增函數. 由此得齣結論： 汙染的初始值較高會使得消費減少, 遏製經濟的增長, 這說明從居民消費角度看, 經濟增長與治理汙染併不相悖, 而是相輔相成的. 該結論對促進我國增加治理汙染的投入有積極的作用.
가설완전경쟁시장조건하, 운용최우공제이론, 이사회복리최대화위목표, 장오염인소충분체현재효용함수급약속조건중,구건료오염약속하가모갈자원최우소비모형병급출구체해석해. 결과표명： 소비함수시초시자원저량여초시오염존량비치급초시오염존량여초시자본투입비치적감함수; 재일정조건하, 소비량최대치여기초시치비치시첩현치적감함수, 해비치야시초시자원저량여초시자본투입비치급초시오염존량여초시자본투입비치적증함수. 유차득출결론： 오염적초시치교고회사득소비감소, 알제경제적증장, 저설명종거민소비각도간, 경제증장여치리오염병불상패, 이시상보상성적. 해결론대촉진아국증가치리오염적투입유적겁적작용.
With assumption of the completely competitive markets, adopting optimal control theory, aiming at maximal social welfare, and indicating the pollution factors fully in utility function and constraint conditions, the optimal depletion model of exhaustible resources under pollution constraint was established, and the specific analytical solution was presented. The results show that： the consumption function is a decreasing function of the initial stock of resources and the initial stock of pollution ratio, and the initial stock of pollution and the initial stock of capital ratio. Under certain conditions, the consumption peak to the initial consumption is a decreasing function of the discounted value, it is also an increasing function of the initial stock of resources and the initial stock of pollution ratio, and the initial stock of pollution and the initial stock of capital ratio. Consequently, the conclusion is achieved that： high initial value of pollution can lead to reduced consumption and rein in economic growth, which also means that from the household＇s consuming point of view, the relationship between economic growth and pollution is not absolutely contradictive but complementary each other. The conclusion has the positive effect on promoting China＇s government to increase the investment in pollution control.
