多港口多船舶同时行进下航行调度的数学模型设计

Mathematical model design of multi port and multi ship simultaneous sailing scheduling

为了提高多港口多船舶同时行进下船舶航行的畅通性,进行航行调度数学模型的优化设计,提出一种基于并行网格控制的多港口多船舶同时行进下航行调度的数学模型,采用均匀阵列分布模型构建船舶航行的网格结构模型,在齐次Sobolev空间构建船舶均衡调度的非线性微分控制方程,采用对合Cauchy-Hadamard积分控制方法进行调度模型渐进寻优,在Lyapunove有限域中得到全局调度的平衡性边界条件,实现船舶航行的并行优化调度。仿真结果表明,采用该模型进行船舶航行调度能提高港口的吞吐量,航线的运载能力增强,调度模型的稳定性较好。

In order to improve the multi port ship traveling simultaneously smooth of ship navigation, navigation scheduling optimization design mathematical model, presents a mathematical model of navigation on scheduling multi port multi parallel grid control based on the uniform array distribution model of grid structure model of the ship, in nonlinear differential control equation of homogeneous Sobolev space construction of the ship scheduling, the Cauchy-Hadamard integral control method of scheduling model of gradual optimization, Lyapunove in finite field balance of the boundary conditions of global scheduling, to achieve optimal scheduling of parallel navigation. The simulation results show that the model of ship scheduling can improve the throughput of the port the route, enhanced carrying capacity, stability of the scheduling model is better.