基于图论的物流管理一体化

运用图论中的Floyd思想阐述了供应链中原材料供应商、物流供应商、生产企业、各销售点之间物流总费用最小化的方法。     

基于多层路径规划的自动布线优化研究

为实现大规模集成电路中的"自动布线问题",首先针对单层平面内通道自动布线问题使用A*算法,发现上下引脚连接线路发生路径冲突时,单通道自动布线问题无解.对多层数电路通道自动布线使用Floyd算法建模,分别对每层线路进行优化.构建基于遗传算法的A*目标函数最优化自动布线模型,来解决三维空间结构优化、系统整体布线距离优化以及金属线与通孔寄生电阻最小化问题.之后使用样本测例对建立的模型进行验证,提出新的解决路线.     

Analysis of the Lotka-Volterra competition equations as a technological substitution model

This paper provides insight into the dynamics of the Lotka-Volterra competition (LVC) equations, a much used competition model, and compares the dynamics of LVC competitive substitution to that of several well-known substitution models. The behavior of the LVC equations is analyzed for the special case of a dominant competitor at equilibrium being replaced after the introduction of a small population of an invading competitor with a competitive advantage. Expressions are derived that describe the growth of the invading competitor and that growth is shown to be of four classes: left asymmetric, logistic, right asymmetric with 1−ε₂ asymptote and right asymmetric with γ asymptote. It is shown that the LVC model reverts to logistic substitution in a market of fixed size, a result with important implications. The LVC equations are fitted to the Gompertz, Bass, Non-Symmetrical Responding Logistic (NSRL) and Sharif-Kabir substitution models and compared using a novel graphical technique. The LVC equations can reasonably mimic the full range of curve shapes exhibited by each of these models.     

基于供应链网络的建立与道路破坏的定量评估

针对49个城市中作为供应点城市的定量分析和道路破坏后最佳路径的评估,以总费用最小和供应点不变为切入点,通过分支定界、比较等方法,分别建立了0-1整数线性规划模型、费用增量优先度模型。运用Matlab、Lingo11软件得出了8个最佳供应城市和使对方总费用增加25%时所破坏的6条道路。