A method for determining symbolic and all numerical solutions in design optimization based on monotonicity analysis and solving polynomial systems is presented in this paper. Groebner Bases of the algebraic system equ...A method for determining symbolic and all numerical solutions in design optimization based on monotonicity analysis and solving polynomial systems is presented in this paper. Groebner Bases of the algebraic system equivalent to the subproblem of the design optimization is taken as the symbolic (analytical) expression of the optimum solution for the symbolic optimization, i.e. the problem with symbolic coefficients. A method based on substituting and eliminating for determining Groebner Bases is also proposed, and method for finding all numerical optimum solutions is discussed. Finally an example is given, demonstrating the strategy and efficiency of the method.展开更多
Based on monotonicity analysis and computer symbolic manipulating technique,a procedure for determining constraints compatibility in design optimization hasbeen proposed in this paper. By using the proposed method rel...Based on monotonicity analysis and computer symbolic manipulating technique,a procedure for determining constraints compatibility in design optimization hasbeen proposed in this paper. By using the proposed method relationshipsbetween constrains can be determined and the optimization is greatly simplifid.The method is code with intelligent production systems.展开更多
为了最大化正交频分复用(orthogonal frequency division multiplexing,OFDM)无线通信系统中非实时业务的有效吞吐量,提出了一种子载波与数据包长度的联合分配(joint sub-carrier and packet size allocation,JSPSA)策略。该策略较以往...为了最大化正交频分复用(orthogonal frequency division multiplexing,OFDM)无线通信系统中非实时业务的有效吞吐量,提出了一种子载波与数据包长度的联合分配(joint sub-carrier and packet size allocation,JSPSA)策略。该策略较以往的子载波分配或数据包长度优化策略,有更大的优化自由度。基于JSPSA策略,详细分析平坦衰落信道下联合分配算法有效吞吐量函数的单调特征,证明该函数为单峰函数。利用频率选择性信道与平坦衰落信道下有效吞吐量函数单调性特征的相似性,通过引入一种新的等效信道增益,提出了一种频率选择性信道下的JSPSA算法。仿真结果表明,该算法的有效吞吐量接近于JSPSA策略下最优的枚举法,与已有的贪婪比特分配、等误比特率功率分配(greedy algorithm bit allocation/equal bit error ratio power allocation,GABA_EBPA)算法相当,而复杂度却大幅度降低,在复杂度和性能之间取得了较好的折中。展开更多
文摘A method for determining symbolic and all numerical solutions in design optimization based on monotonicity analysis and solving polynomial systems is presented in this paper. Groebner Bases of the algebraic system equivalent to the subproblem of the design optimization is taken as the symbolic (analytical) expression of the optimum solution for the symbolic optimization, i.e. the problem with symbolic coefficients. A method based on substituting and eliminating for determining Groebner Bases is also proposed, and method for finding all numerical optimum solutions is discussed. Finally an example is given, demonstrating the strategy and efficiency of the method.
文摘Based on monotonicity analysis and computer symbolic manipulating technique,a procedure for determining constraints compatibility in design optimization hasbeen proposed in this paper. By using the proposed method relationshipsbetween constrains can be determined and the optimization is greatly simplifid.The method is code with intelligent production systems.
文摘为了最大化正交频分复用(orthogonal frequency division multiplexing,OFDM)无线通信系统中非实时业务的有效吞吐量,提出了一种子载波与数据包长度的联合分配(joint sub-carrier and packet size allocation,JSPSA)策略。该策略较以往的子载波分配或数据包长度优化策略,有更大的优化自由度。基于JSPSA策略,详细分析平坦衰落信道下联合分配算法有效吞吐量函数的单调特征,证明该函数为单峰函数。利用频率选择性信道与平坦衰落信道下有效吞吐量函数单调性特征的相似性,通过引入一种新的等效信道增益,提出了一种频率选择性信道下的JSPSA算法。仿真结果表明,该算法的有效吞吐量接近于JSPSA策略下最优的枚举法,与已有的贪婪比特分配、等误比特率功率分配(greedy algorithm bit allocation/equal bit error ratio power allocation,GABA_EBPA)算法相当,而复杂度却大幅度降低,在复杂度和性能之间取得了较好的折中。
