The Kuhn-Tucker conditions have been used to derive many significant results in economics. However, thus far, their derivation has been a little bit troublesome. The author directly derives the Kuhn-Tucker conditions ...The Kuhn-Tucker conditions have been used to derive many significant results in economics. However, thus far, their derivation has been a little bit troublesome. The author directly derives the Kuhn-Tucker conditions by applying a corollary of Farkas’s lemma under the Mangasarian-Fromovitz constraint qualification and shows the boundedness of Lagrange multipliers.展开更多
In this paper, a multi-item inventory model with storage space, number of orders and production cost as constraints are developed in both crisp and fuzzy environment. In most of the real world situations the cost para...In this paper, a multi-item inventory model with storage space, number of orders and production cost as constraints are developed in both crisp and fuzzy environment. In most of the real world situations the cost parameters, the objective functions and constraints of the decision makers are imprecise in nature. This model is solved with shortages and the unit cost dependent demand is assumed. Hence the cost parameters are imposed here in fuzzy environment. This model has been solved by Kuhn-Tucker conditions method. The results for the model without shortages are obtained as a particular case. The model is illustrated with numerical example.展开更多
In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the mult...In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.展开更多
为激励移动式储能系统(mobile energy storage system,MESS)参与电力市场,并在增加自身盈利的同时,在一定程度上缓解电力阻塞,计及转移效用与不确定性,提出一种MESS日前日内两阶段市场竞标策略。首先,在日前阶段,构建MESS参与电力市场...为激励移动式储能系统(mobile energy storage system,MESS)参与电力市场,并在增加自身盈利的同时,在一定程度上缓解电力阻塞,计及转移效用与不确定性,提出一种MESS日前日内两阶段市场竞标策略。首先,在日前阶段,构建MESS参与电力市场双层投标模型,上层旨在决策MESS的时空分布及功率,下层为电力市场出清模型;其次,在日内阶段,采用多场景随机优化方法模拟、分析日内不确定性,并以日前荷电水平和转移计划为参考,基于模型预测控制方法构建MESS参与日内电力市场双层投标模型,上层旨在动态调整MESS实时功率,下层亦为电力市场出清模型;进一步,利用KKT条件和互补松弛理论将双层竞标模型转化为单层线性优化模型,以实现高效求解;最后,以国内某城域互联电力交通网络设计典型仿真案例。仿真结果表明,所提策略能够实现可调配资源的最大化利用,有效缓解电力系统输电阻塞,促进清洁能源消纳。展开更多
文摘The Kuhn-Tucker conditions have been used to derive many significant results in economics. However, thus far, their derivation has been a little bit troublesome. The author directly derives the Kuhn-Tucker conditions by applying a corollary of Farkas’s lemma under the Mangasarian-Fromovitz constraint qualification and shows the boundedness of Lagrange multipliers.
文摘In this paper, a multi-item inventory model with storage space, number of orders and production cost as constraints are developed in both crisp and fuzzy environment. In most of the real world situations the cost parameters, the objective functions and constraints of the decision makers are imprecise in nature. This model is solved with shortages and the unit cost dependent demand is assumed. Hence the cost parameters are imposed here in fuzzy environment. This model has been solved by Kuhn-Tucker conditions method. The results for the model without shortages are obtained as a particular case. The model is illustrated with numerical example.
文摘In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.
文摘为激励移动式储能系统(mobile energy storage system,MESS)参与电力市场,并在增加自身盈利的同时,在一定程度上缓解电力阻塞,计及转移效用与不确定性,提出一种MESS日前日内两阶段市场竞标策略。首先,在日前阶段,构建MESS参与电力市场双层投标模型,上层旨在决策MESS的时空分布及功率,下层为电力市场出清模型;其次,在日内阶段,采用多场景随机优化方法模拟、分析日内不确定性,并以日前荷电水平和转移计划为参考,基于模型预测控制方法构建MESS参与日内电力市场双层投标模型,上层旨在动态调整MESS实时功率,下层亦为电力市场出清模型;进一步,利用KKT条件和互补松弛理论将双层竞标模型转化为单层线性优化模型,以实现高效求解;最后,以国内某城域互联电力交通网络设计典型仿真案例。仿真结果表明,所提策略能够实现可调配资源的最大化利用,有效缓解电力系统输电阻塞,促进清洁能源消纳。
