带覆盖需求约束的设施选址问题

带覆盖需求约束的设施选址问题(FLPWCDL)研究:客户必须在规定的响应半径内被服务,并要求服务站能够覆盖规定的需求数量,如何选择合适的服务站,使总成本(建站成本+路线成本)最小.FLPWCDL广泛应用于应急服务、物流、便利店等服务站的选址.建立了问题的混合整数规划模型,并构造了求解FLPWCDL的Benders分解算法,计算实验显示Benders分解算法具有非常高的求解效率与求解质量.     

基于AHP的物流中心选址问题研究——以徐州市为例

物流中心选址问题是物流建设的重点,物流中心选址模型的构建和度量很难通过数学统计的方法精确度量.通过AHP法定性定量分析物流选址的影响因素,建立徐州市物流选址评价指标体系,把物流中心选址的主观判断转变为可信度判断,提高徐州市物流中心选址的可信度.     

基于DEA的物流配送中心再选址研究

为实现现有物流配送中心的优化管理的目的,利用DEA方法对已有配送中心的效率进行评估.根据评估的结果代入选址分析模型中,得到物流配送中心再选址的DEA评估规划模型,以配送收益与物流成本之差作为目标函数,以供需均衡关系、配送中心流出量与流入量平衡、选址变量与流量内在联系构建约束条件,通过算例并借助于MATLAB软件验证了模型的有效性.     

带时效性约束的配送中心多源选址问题研究

应用启发式算法求解带时效性约束的多源选址问题.分析物流配送的时效性问题,建立带时效性约束的配送中心多源选址模型.构造两步启发式算法:1)借助传统迭代算法,求解物流服务分配矩阵,把多源选址问题转化为单源选址问题;2)基于M ATLAB函数,设计优化程序,计算带时效性约束的单源选址模型.并给出算例,验证模型和算法的可行性.研究表明两步启发式算法是求解带时效性约束的物流配送中心多源连续选址问题的有效算法.     

基于遗传算法的木材物流中心选址研究

分析了木材物流模式,建立物流中心选址的数学模型,研究遗传算法求解选址模型的方法,并以永安林业集团股份有限公司的木材物流数据为基础,提出研究区域内木材物流中心选址的实际模型,采用可重复自然数编码的遗传算法求解模型,运用VB编写相应的程序,提高选址决策的效率和精度。     

需求势能理论的配送中心选址方法的研究

物流配送中心选址的合理性直接影响着物流分销网络规划和优化.提出了针对物流网点选址的需求势能理论,并提出了一种基于需求势能的分销物流系统中配送中心的选址实现方法.最后通过实例证明,该方法简便快捷,结果正确合理,为解决此类配送中心选址问题提供了科学的指导依据.     

带危险度瓶颈限制的服务站截流选址－分配模型研究

该文考虑带危险度瓶颈限制的服务站截流选址－分配问题(FCLM). 假设网络中各边有两个向量:长度和危险度. 对于有一个起点和多个讫点的FCLM问题,网络的安全费用是一个关于可抵御最大危险度等级的非递减函数. 该问题考虑如何选取可抵御最大危险度的等级和服务站的位置使得建站费用和安全费用之和最小. 文中建立了该问题的模型并提出了基于后序遍历的替代算法.     

基于网络分析方法的物流配送中心选址的研究

经济全球化。信息技术和电子商务的发展对物流产生了深刻的影响。使之呈现出新的特点。这些特点对配送中心选址的研究提出了更高，更新的要求。本在对GIS网络分析方法的阐述和P中心选址模型的分析的基础上，建立了配送中心选址优化模型。该模型通过引入商品保管费用、处理费用、配送中心建造费用对P中心选址模型进行了拓展，并通过总费用最小化确定配送中心的数量、位置以及资源点与配送中心、配送中心与用户之间的供需关系。     

考虑三级货损成本的冷链物流配送中心选址优化

为解决冷链物流配送中心的选址优化问题,依据易腐品完好率线性递减理论,提出了易腐品完好率与运输距离之间的分段递减函数关系,通过分析从供应点到配送中心运输过程,配送中心内部操作过程和从配送中心到需求点配送过程中所产生的三级货损实际情况,探究了本级货损对下级货损的叠加影响,以货物完好量作为客户的最终需求,构建了考虑三级货损成本的冷链物流配送中心选址优化模型,算例验证了所建模型的适用性和可行性.     

基于组合赋权TOPSIS模型的物流配送中心选址研究

物流的发展离不开配送中心的建设,配送中心建设的首要问题是选址,通过分析影响物流配送中心选址的各种因素,建立了包括自然条件、经营环境、基础设施、成本因素等因素的配送中心选址指标体系.采用层次分析法(AHP)和熵值法组合确定各指标的权重,依据逼近理想解排序(TOPSIS)法的基本思路,建立物流配送中心选址模型.通过对物流配送中心进行选址的实例研究,证明方法的有效性并选出最优方案.     

A 1-center problem on the plane with uniformly distributed demand points

Center problems or minimax facility location problems are among the most active research areas in location theory. In this paper, we find the best unique location for a facility in the plane such that the maximum expected weighted distance to all random demand points is minimized.     

A Probabilistic Minimax Location Problem on the Plane

In this paper we consider the weighted minimax (1-center) location problem in the plane when the weights are not given but rather drawn from independent uniform distributions. The problem is formulated and analyzed. For certain parameters of the uniform distributions the objective function is proven to be convex and thus can be easily solved by standard software such as the Solver in Excel. Computational experience is reported.     

Reliability problems in multiple path-shaped facility location on networks

In this paper we study a location problem on networks that combines three important issues: (1) it considers that facilities are extensive, (2) it handles simultaneously the location of more than one facility, and (3) it incorporates reliability aspects related to the fact that facilities may fail. The problem consists of locating two path-shaped facilities minimizing the expected service cost in the long run, assuming that paths may become unavailable and their failure probabilities are known in advance. We discuss several aspects of the computational complexity of problems of locating two or more reliable paths on graphs, showing that multifacility path location–with and without reliability issues–is a difficult problem even for 2 facilities and on very special classes of graphs. In view of this, we focus on trees and provide a polynomial time algorithm that solves the 2 unreliable path location problem on tree networks in $O\left(n^2\right)$ time, where $n$ is the number of vertices.     

The central warehouse location problem revisited

This paper is concerned with the optimal location of a centralwarehouse, given a fixed number and the locations of the localwarehouses. We investigate whether the solution determined bythe traditional model that minimizes total transportation costdiffers from the one determined by a model that also takes intoaccount the inventory and service costs. We build simple modelsto address this question. Numerical results show that ignoringinventory costs in modelling location models may lead to inferiorlocation solutions.     

Network hub location problems: The state of the art

Hubs are special facilities that serve as switching, transshipment and sorting points in many-to-many distribution systems. The hub location problem is concerned with locating hub facilities and allocating demand nodes to hubs in order to route the traffic between origin–destination pairs. In this paper we classify and survey network hub location models. We also include some recent trends on hub location and provide a synthesis of the literature.     

A specialized branch & bound & cut for Single-Allocation Ordered Median Hub Location problems

The Single-Allocation Ordered Median Hub Location problem is a recent hub model introduced by Puerto et al. (2011) [32] that provides a unifying analysis of the class of hub location models. Indeed, considering ordered objective functions in hub location models is a powerful tool in modeling classic and alternative location paradigms, that can be applied with success to a large variety of problems providing new distribution patterns induced by the different users’ roles within the supply chain network. In this paper, we present a new formulation for the Single-Allocation Ordered Median Hub Location problem and a branch-and-bound-and-cut (B&B&Cut) based algorithm to solve optimally this model. A simple illustrative example is discussed to demonstrate the technique, and then a battery of test problems with data taken from the AP library are solved. The paper concludes that the proposed B&B&Cut approach performs well for small to medium sized problems.     

Sequential competitive location on networks

We present a survey of recent developments in the field of sequential competitive location problems, including the closely related class of voting location problems, i.e. problems of locating resources as the result of a collective election. Our focus is on models where possible locations are not a priori restricted to a finite set of points. Furthermore, we restrict our attention to problems defined on networks. Since a line, i.e. an interval of one-dimensional real space, may be interpreted as a special type of network and because models defined on lines might contain ideas worth adopting in more general network models, we include these models as well, yet without describing them in detail for the sake of brevity.     

Location Science Research: A Review

This document presents a broad review of facility location and location science research. The goal of this report is not to provide an exhaustive list of location science topics (an undertaking far beyond the scope of a single journal article), but rather to provide the reader with a more general review of the location science research landscape. This document starts with a short introduction to some of the more germane aspects of all location science research.     

Facility location in the presence of forbidden regions,I: Formulation and the case of Euclidean distance with one forbidden circle

A constrained form of the Weber problem is formulated in which no path is permitted to enter a prespecified forbidden region $\text{R}$ of the plane. Using the calculus of variations the shortest path between two points $\text{x}\text{,}\text{y}\text{?}\text{R}$ which does not intersect $\text{R}$ is determined. If $\text{d(}\text{x}\text{,}\text{y}\text{)}$ is unconstrained distance, we denote the shortes distance along a feasible path by $\text{d}\text{(}\text{x}\text{y}\text{)}$. The constrained Weber problem is, then: given points $\text{x}{}_{\mathrm{j}}\text{?}\text{R}$ and positive weights w_j, j = 1,2,…,n, find a point $\text{x}\text{?}\text{R}$ such that

$\text{f(}\text{x}\text{)=}\text{Σ}\text{n}\text{j=1}\text{d(}\text{x}\text{,}\text{x}{}_{\mathrm{j}}\text{)}$

is a minimum.An algorithm is formulated for the solution of this problem when $\text{d(}\text{x}\text{,}\text{y}\text{)}$ is Euclidean distance and $\text{R}$ is a single circular region. Numerical results are presented.