需求可拆分的应急物资调度问题的蚁群算法

应急物资调度问题是个典型的需求可拆分的车辆路径问题,区别于传统的车辆路径问题,将每个需求节点只能由一辆车访问的约束去除,允许需求节点由多辆车进行访问。针对应急物资调度问题的特点,建立相应的多目标车辆路径数学规划模型(SDVRP),并根据模型特点设计改进蚁群优化算法。最后,进行相应的算例分析,验证了该模型和算法的有效性。     

双舰编队协同制导防空作战的动态拦截排序问题

针对双舰编队协同制导作战条件下如何对空袭目标进行排序这一问题,依据作战时间给出了排序算法。首先对平台的作战时间进行分析和求解,将射击周期分成了2段,把静态拦截排序问题转化为了2台处理机的同顺序作业排序问题,然后根据输入信息的改变而不断调整空袭目标的顺序以解决动态拦截排序问题,最后在想定条件下仿真计算,结果表明该算法具有较好的适用性。     

基于禁忌算法的无线传感器网络PEGASIS算法改进

为了减少无线传感器网络节点能耗,延长网络生存时间,在PEGASIS算法的基础上,针对PEGASIS算法中节点之间容易产生长链和簇头选择没有考虑节点剩余能量的问题,提出了一种基于禁忌算法的PEGASIS算法改进。建链阶段采用禁忌算法代替原有的贪婪算法,防止了长链的产生,减小了节点传输距离;同时引入基于剩余能量的簇头选择机制,均衡了节点之间的能耗,延长了节点的生存时间。仿真结果表明,改进算法较PEGASIS算法第1个节点的死亡时间延长了约7倍,半数节点的死亡时间也得到了延长,从而提高了整个网络的生存时间。     

瓶颈指派问题的一种多项式时间算法

本文对瓶颈指派问题给出了一种新的算法,该算法不需要利用最大流算法,而类似于解经典指派问题的匈牙利算法。该算法是一个多项式时间算法,其复杂性为Ｏ（ｎ３）     

二维离散余弦变换与二维离散Fourier变换的快速算法

文中提出N×M2D—DCT(Ⅱ)的一种快速算法,其需实运算量为:M_u=1/2NMlog_2N+1/4MNlog_2M,A_d=3/2NMlog_2NM—3MN—1/2M~2+M+N(其中N、M为2的幂)。当N=M时,与文[5]的结果一样、这是目前最好的结果。但文[5]算法不稳定,容易产生较大的误差。本文克服了这一缺点。并利用此2D—FCT(Ⅱ)导出了2D—DCT.2D—DST和2D—DCST的快速算法及2D—DFT的一种快速算法。2D—DFT快速算法的运算量与文[1]中用FPT计算2D—DFT相近。     

A mathematical formulation and efficient heuristics for the dynamic container relocation problem

The container relocation problem (CRP) is concerned with emptying a single yard‐bay which contains J containers each following a given pickup order so as to minimize the total number of relocations made during their retrieval process. The CRP can be modeled as a binary integer programming (IP) problem and is known to be NP‐hard. In this work, we focus on an extension of the CRP to the case where containers are both received and retrieved from a single yard‐bay, and call it the dynamic container relocation problem. The arrival (departure) sequences of containers to (from) the yard‐bay is assumed to be known a priori. A binary IP formulation is presented for the problem. Then, we propose three types of heuristic methods: index based heuristics, heuristics using the binary IP formulation, and a beam search heuristic. Computational experiments are performed on an extensive set of randomly generated test instances. Our results show that beam search heuristic is very efficient and performs better than the other heuristic methods.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 101–118, 2014     

Bicriteria multiresource generalized assignment problem

In this study, we consider a bicriteria multiresource generalized assignment problem. Our criteria are the total assignment load and maximum assignment load over all agents. We aim to generate all nondominated objective vectors and the corresponding efficient solutions. We propose several lower and upper bounds and use them in our optimization and heuristic algorithms. The computational results have shown the satisfactory behaviors of our approaches. © 2014 Wiley Periodicals, Inc. Naval Research Logistics, 61: 621–636, 2014     

Improved bounds for batch scheduling with nonidentical job sizes

Here, we revisit the bounded batch scheduling problem with nonidentical job sizes on single and parallel identical machines, with the objective of minimizing the makespan. For the single machine case, we present an algorithm which calls an online algorithm (chosen arbitrarily) for the one‐dimensional bin‐packing problem as a sub‐procedure, and prove that its worst‐case ratio is the same as the absolute performance ratio of . Hence, there exists an algorithm with worst‐case ratio , which is better than any known upper bound on this problem. For the parallel machines case, we prove that there does not exist any polynomial‐time algorithm with worst‐case ratio smaller than 2 unless P = NP, even if all jobs have unit processing time. Then we present an algorithm with worst‐case ratio arbitrarily close to 2. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 351–358, 2014     

多机器人最大熵博弈协同定位算法

研究了多机器人观测到同一目标时的协同定位问题。建立了各个机器人相对观测一致程度的数学描述模型,进而提出用基于极大熵准则的最大熵博弈获取使相对观测一致程度最优的协同定位方式。针对博弈结果的多样性,相应地改变观测方程的雅克比矩阵,推导了可适应多机器人各种博弈结果的扩展Kalman滤波协同定位算法。仿真实验表明,方法可实现机器人团队在协同定位时有选择、更高效地共享相互间的观测信息;在保证协同定位精度提高的同时有效地消除了多机器人相对观测信息间的冲突。     

基于改进遗传算法的天基光学监视平台轨道优化

针对地球遮挡、地影、太阳光干扰、月光干扰、空间目标相对观测平台的角速度等约束对空间目标可见性的影响问题,基于已编目空间目标双行轨道根数,研究以太阳同步晨昏圆轨道作为观测平台轨道,采用改进多变异位自适应遗传算法对单星观测平台轨道进行优化设计。仿真结果表明,改进的多变异位自适应遗传算法有效地解决了多变异位自适应遗传算法不能保证收敛到所有种群中最优个体的问题,且随机抽取10%左右的目标样本可以达到与采用所有目标相当的性能,计算效率提高约一个量级。