CN1734238A - Two-stage multi-path optimization method for centrally controlled vehicle navigation system - Google Patents

Two-stage multi-path optimization method for centrally controlled vehicle navigation system Download PDF

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CN1734238A
CN1734238A CN 200510102498 CN200510102498A CN1734238A CN 1734238 A CN1734238 A CN 1734238A CN 200510102498 CN200510102498 CN 200510102498 CN 200510102498 A CN200510102498 A CN 200510102498A CN 1734238 A CN1734238 A CN 1734238A
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陈艳艳
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Beijing University of Technology
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Abstract

This invention discloses a carrying guidance system in the route optimum domain, which comprises the following steps: establishing a biparametric path unit standard dynamic file; considering the path rational constrained and joint failure constrained; using the method of heuristics weight to establish the optional path set off line; improving A* heuristics function to increase the efficiency of optional path set which satisfies the customer rational constrained and joint failure constrained; Off-line optional path set coded storing and backtrack on line; screening of on-line dynamic path, supplementary searching and multiple path issue.

Description

中心控制式车载导航系统两阶段多路径优化方法Two-stage multi-path optimization method for centrally controlled vehicle navigation system

技术领域technical field

本发明涉及车载导航系统路线优化领域,基于畅通可靠度分析,设计和实现了一种用于中心控制式车载导航系统的阻塞风险规避及群聚风险规避的两阶段动态路线寻优的有效算法。The invention relates to the field of route optimization of vehicle navigation systems. Based on unimpeded reliability analysis, an effective algorithm for two-stage dynamic route optimization for centrally controlled vehicle navigation system blocking risk avoidance and cluster risk avoidance is designed and implemented.

背景技术Background technique

车载导航系统(VIS)作为智能交通系统ITS的应用之一,它不仅给用户提供更好的路径信息服务,还可以帮助减少交通堵塞,缩短行驶时间和节省能源。因此近年来得到了广泛的应用。最佳路线优选是车辆自动导航系统中一个重要的关键技术。我国在这方面的研究尚处于起步阶段。根据路线优化所基于的信息来源,车辆自动导航系统又可分为动态导航及静态导航,动态导航依据动态实时信息进行路线优选,静态导航根据历史静态信息进行路线优选。另外根据路径计算的执行单元不同又可将车辆自动导航系统分为中心控制式及分散控制式车载导航系统。中心控制式路径计算由信息中心的计算机完成,计算能力较强,而且有利于诱导系统整体优化目标的实现。分散控制式路径计算由车载计算机完成,计算能力有局限。本发明针对中心控制式的动态车载导航系统进行路线优化设计。Vehicle Navigation System (VIS), as one of the applications of ITS, not only provides users with better route information services, but also helps reduce traffic jams, shorten travel time and save energy. Therefore, it has been widely used in recent years. Optimal route optimization is an important key technology in vehicle automatic navigation system. Our research in this area is still in its infancy. According to the source of information based on route optimization, vehicle automatic navigation systems can be divided into dynamic navigation and static navigation. Dynamic navigation optimizes routes based on dynamic real-time information, and static navigation optimizes routes based on historical static information. In addition, according to the different execution units of path calculation, the vehicle automatic navigation system can be divided into central control type and decentralized control type vehicle navigation system. The central control path calculation is completed by the computer in the information center, which has strong computing power and is conducive to the realization of the overall optimization goal of the induction system. Decentralized control path calculation is completed by the on-board computer, and the calculation capacity is limited. The present invention performs route optimization design for a centrally controlled dynamic vehicle navigation system.

目前车载导航系统多是以用户最优为目标的进行单路径计算与发布。随着路网中导航车辆的逐步增加与普及,这种用户最优的单路径的诱导在高峰时段很容易产生被诱导车辆群聚于同一路径而造成因诱导形成的拥堵。这不仅不利于路网系统的功能发挥,导航用户效益最终也得不到保障。而通常采用的同时兼顾用户最优与系统最优的路径寻优算法如固定点法(fix point)因需大量迭代而耗时过长,难以用于实时导航。多路径诱导信息发布可有效避免诱导群聚现象,而且用户可根据自己喜好,从中选择满意的路径,从而达到用户最优与系统最优的协调。因此,多路径诱导将成为未来动态车载导航的主流技术。At present, vehicle navigation systems mostly perform single-path calculation and distribution with the goal of user optimization. With the gradual increase and popularization of navigation vehicles in the road network, this user-optimized single-path induction is likely to cause induced vehicles to cluster on the same path during peak hours, resulting in congestion due to induction. This is not only detrimental to the function of the road network system, but also the benefits of navigation users will not be guaranteed in the end. However, the commonly used route optimization algorithms that take into account both user optimization and system optimization, such as the fix point method, require a large number of iterations and take too long to be used in real-time navigation. Multi-path induced information release can effectively avoid induced clustering phenomenon, and users can choose a satisfactory path according to their own preferences, so as to achieve the coordination between user optimization and system optimization. Therefore, multi-path guidance will become the mainstream technology of dynamic vehicle navigation in the future.

但在目前的动态多路径优选中,存在以下几方面的问题:1)高精度实时信息的获取问题。目前国内外实时信息预测技术还未成熟,预测精度有待提高。2)路径计算实时性问题。采用传统路径算法如Dijkstra法及A*算法进行路径计算,其计算时间随路网规模的增大而呈指数或非线性增加。尽管中心控制计算机的计算能力强大,但随着路网中导航车辆的普及,在高峰时刻当大量车辆同时发出导航要求时,仍会因计算量过大而导致计算延时。而多路径计算更加重了路径实时计算实现的难度。3)有约束多路径计算问题。多路径规划虽然可有效避免群聚现象,但若绕行过远也会使用户失去对导航信息的信任而不听从中心诱导,从而降低中心诱导的系统效益。因此多路径计算涉及有约束的路径寻优问题。研究其高效算法是实现动态实时导航的关键。However, in the current dynamic multi-path optimization, there are several problems in the following aspects: 1) The acquisition of high-precision real-time information. At present, the real-time information forecasting technology at home and abroad is not yet mature, and the forecasting accuracy needs to be improved. 2) The real-time problem of path calculation. Using traditional path algorithms such as Dijkstra method and A* algorithm for path calculation, the calculation time increases exponentially or non-linearly with the increase of road network scale. Although the computing power of the central control computer is powerful, with the popularization of navigation vehicles in the road network, when a large number of vehicles send navigation requests at the same time during peak hours, the calculation delay will still be caused by excessive calculation. The multi-path calculation makes it more difficult to realize the real-time calculation of the path. 3) Constrained multipath computing problem. Although multi-path planning can effectively avoid the clustering phenomenon, if the detour is too far, the user will lose trust in the navigation information and will not obey the guidance of the center, thereby reducing the system efficiency of the guidance of the center. Multipath computing therefore involves a constrained path optimization problem. Studying its efficient algorithm is the key to realize dynamic real-time navigation.

鉴于以上问题,如何在不过分依赖动态信息条件下,提供高效准确,符合用户喜好要求,并兼顾路网系统优化目标的有约束多路径优化算法及实施技术是中心控制式车载导航系统亟需解决的问题。In view of the above problems, how to provide an efficient and accurate multi-path optimization algorithm and implementation technology that is efficient and accurate, meets user preferences, and takes into account the optimization objectives of the road network system is an urgent need to solve for the central control vehicle navigation system. The problem.

发明内容Contents of the invention

基于以上分析,本发明设计了离线(offline)准动态备选路线集建立与存储,及在线(online)实时路径筛选与多路径发布的两阶段中心控制车载导航机制及算法。(见附图1)借助可靠性分析,通过对历史信息进行提炼,建立了以平均通行时间及畅通可靠度为双参数的准动态道路属性文件;基于该准动态道路属性文件,利用启发式加权的方法发明了部分重叠的备选路径集建立方法,该路集满足用户喜好约束及共同失效约束;根据在线动态信息,可从这些备选路径中实时筛选出多条可行路径用于诱导信息发布。该发明由于考虑了道路阻塞发生的可能性及备选路径共同失效(阻塞)的可能性,提高了基于历史信息的备选路径的合理性及在线有效性。同时通过离线备选路集计算,减少了在线路径搜索的工作量。本算法的特点是不必过多依赖动态信息,实时反应速度快,计算时间与路网规模及诱导车辆数呈线性关系。该发明不仅可减少出行延误风险,而且可减少群聚风险,有利于实现系统最优与用户最优的协调。Based on the above analysis, the present invention designs a two-stage center-controlled vehicle navigation mechanism and algorithm for setting up and storing offline (offline) quasi-dynamic alternative route sets, and online (online) real-time path screening and multi-path release. (see accompanying drawing 1) with the help of reliability analysis, by refining historical information, set up the quasi-dynamic road attribute file with average transit time and unimpeded reliability as double parameter; Based on this quasi-dynamic road attribute file, utilize heuristic weighting The method invented a method for establishing a partially overlapping alternative path set, which satisfies user preference constraints and common failure constraints; according to online dynamic information, multiple feasible paths can be screened out from these alternative paths in real time to induce information release . The invention improves the rationality and online validity of the alternative paths based on historical information because the possibility of road blockage and the possibility of common failure (blockage) of alternative paths are considered. At the same time, the workload of online path search is reduced by off-line alternative road set calculation. The characteristic of this algorithm is that it does not need to rely too much on dynamic information, has a fast real-time response speed, and has a linear relationship between the calculation time and the scale of the road network and the number of induced vehicles. The invention can not only reduce the risk of travel delay, but also reduce the risk of clustering, and is beneficial to realize the coordination of system optimization and user optimization.

本发明的技术思路特征为:Technical thought feature of the present invention is:

1.双参数的道路单元准动态属性文件的建立。1. The establishment of the quasi-dynamic attribute file of the road unit with two parameters.

2.考虑路径合理性约束及共同失效约束,利用启发式加权的方法离线建立备选路径集合。2. Consider path rationality constraints and common failure constraints, and use the heuristic weighting method to establish a set of alternative paths offline.

3.改善A*的启发式函数提高备选路集建立的效率。3. Improve the heuristic function of A* to improve the efficiency of establishing alternative road sets.

4.离线备选路集编码式存储及在线回溯。4. Offline alternative road set coded storage and online backtracking.

5.在线动态路径筛选、补充搜索及多路径发布。5. Online dynamic path screening, supplementary search and multi-path publishing.

以下为本发明的技术思路特征及具体方案的详细说明。The following is a detailed description of the technical idea features and specific solutions of the present invention.

1.第一阶段:离线阶段1. The first stage: offline stage

(1)标定双参数的道路单元属性文件(1) Calibrate the road unit attribute file with two parameters

将一天划分为t个典型时段,t>=3;下面的操作是针对其中任何一个典型时段进行的,其它时段的操作方法相同;Divide a day into t typical periods, t>=3; the following operations are performed for any one of the typical periods, and the operation methods for other periods are the same;

历史信息被处理与提炼成两种参数形式服务于导航算法:一是各典型时段的道路单元平均通行时间,一是各典型时段道路单元的畅通可靠度。The historical information is processed and refined into two parameter forms to serve the navigation algorithm: one is the average transit time of road units in each typical time period, and the other is the unimpeded reliability of road units in each typical time period.

道路单元一般包括路段和交叉口。利用现有技术将路网转化为弧权网络,即将路口各转向用虚拟路段表示,各转向延误时间即虚拟路段的通行时间。在交叉口拥挤不严重的路网,也可不考虑交叉口的延误,仅考虑路段通行时间。从而路网道路单元可仅指路段单元。Road units generally include road segments and intersections. The existing technology is used to transform the road network into an arc weight network, that is, each turn at the intersection is represented by a virtual road section, and the delay time of each turn is the passing time of the virtual road section. In the road network where the intersection is not seriously congested, the delay at the intersection may not be considered, and only the passage time of the road section may be considered. Thus, road network road units may only refer to road segment units.

对每个道路单元进行各典型时段平均通行时间及畅通可靠度双参数的标定,其中建立道路单元平均通行时间,采用以下方法:For each road unit, the average passing time of each typical time period and the two parameters of unimpeded reliability are calibrated, and the average passing time of the road unit is established, using the following method:

对于具有一个月以上交通流历史数据的道路单元,用统计方法计算道路单元i正常条件下(无事故、灾害等特殊事件发生)在某一时段内的平均通行时间,这个平均通行时间就是道路单元i的权重Wi;对于没有一个月以上的交通流历史数据的路段,可以路段长度除以路段设计速度作为道路单元i的权重WiFor a road unit with traffic flow history data of more than one month, the average passing time of road unit i under normal conditions (no accidents, disasters, etc.) in a certain period of time is calculated by statistical methods, and this average passing time is the road unit i The weight W i of i; for a road segment without traffic flow history data of more than one month, the weight W i of road unit i can be divided by the length of the road segment divided by the design speed of the road segment.

其中确定道路单元畅通可靠度要经过两个过程:There are two processes to determine the unimpeded reliability of road units:

a.对道路单元做二元状态假设:即将道路单元的状态分为两种:畅通和阻塞;区分路段畅通和阻塞的界限是提前设定的路段单元行驶速度阈值,大于这个值则视为畅通,小于这个值则视为阻塞;而区分交叉口各转向畅通和阻塞的界限则是提前设定的交叉口延误阈值;小于这个值则视为畅通,大于这个值则视为阻塞,以上阈值可根据《公安部关于实施全国城市道路交通管理“畅通工程”意见》进行畅通标准的制定;a. Make a binary state assumption for the road unit: the state of the road unit is divided into two types: smooth and blocked; the boundary to distinguish the smooth and blocked road section is the speed threshold of the road section unit set in advance, and if it is greater than this value, it is regarded as unblocked , less than this value is regarded as blocking; and the boundary to distinguish between smooth and blocked intersections is the intersection delay threshold set in advance; less than this value is regarded as smooth, and greater than this value is regarded as blocked, the above threshold can be According to the "Ministry of Public Security's Opinions on the Implementation of the National Urban Road Traffic Management "Smooth Project"" to formulate smooth traffic standards;

b.确定道路单元的畅通可靠度,道路单元的畅通可靠度可以定义为在规定的时间段内道路单元畅通或不发生阻塞的概率;其确定方法如下:b. Determine the unimpeded reliability of the road unit. The unimpeded reliability of the road unit can be defined as the probability that the road unit is unblocked or not blocked within a specified time period; its determination method is as follows:

对道路单元采集3个月以上的交通流数据,采用下式计算道路单元i畅通可靠度ri的近似值:Collect traffic flow data of more than 3 months for a road unit, and use the following formula to calculate the approximate value of the unimpeded reliability r i of road unit i:

Figure A20051010249800081
Figure A20051010249800081

道路单元双参数标定的过程见附图2。The process of double-parameter calibration of road units is shown in Figure 2.

(2)搜索备选路径集(2) Search the set of alternative paths

理论上可将任意点对间所有的可选路径枚举出来,比较其通行时间、路径可靠度并比较各种可能路径组合的路集可靠度,从而确定最佳的方案。然而这种枚举法无疑计算量巨大。Theoretically, it is possible to enumerate all the optional paths between any pair of points, compare their transit time, path reliability, and compare the road set reliability of various possible path combinations, so as to determine the best solution. However, this enumeration method undoubtedly has a huge amount of calculation.

事实上,根据系统可靠度理论,避免备选路径经过畅通可靠度较小的单元及避免在诸备选路径中出现重叠单元,尤其是可靠度较小的重叠单元,均可有效提高备选路径及备选路径集合的可靠度。因为重叠单元一旦阻塞,所有共用这个单元的路径都将阻塞。尽管当所有的备选路径没有相重叠的道路单元时,该备选路集的可靠度较大,但因绕行时间的限制,难以在一个起讫点对间找到足够条完全不相重叠的合理路径,为此,需建立部分单元重叠的备选路集。In fact, according to the theory of system reliability, avoiding alternative paths passing through units with less reliability and avoiding overlapping units among alternative paths, especially overlapping units with less reliability, can effectively improve the reliability of alternative paths. and the reliability of the set of alternative paths. Because once an overlapping unit is blocked, all paths that share this unit will be blocked. Although the reliability of the candidate road set is relatively high when all the candidate routes have no overlapping road units, it is difficult to find enough reasonably non-overlapping road units between a origin-destination pair due to the limitation of detour time. path, for this purpose, it is necessary to establish a set of alternative paths where some units overlap.

为解决枚举法建立备选路集计算量过大的难题,本发明提出了一种有约束的多路径启发式算法,算法思路基于以下事实:在最短路算法中,如果路段i具有较大的通行时间权重Wi,则它将有较大可能性不被包括在某起讫点对n的最短路径Pn,0中,如果设定Wi=∞,那么路段i将永远不会出现在Pn,0中。In order to solve the problem that the enumeration method establishes an excessive amount of calculation for the alternative road set, the present invention proposes a constrained multi-path heuristic algorithm, the algorithm idea is based on the following fact: in the shortest path algorithm, if the road section i has a larger , then it will have a greater possibility not to be included in the shortest path P n, 0 of a certain origin-destination pair n. If W i = ∞, then road segment i will never appear in Pn , 0 in.

在本算法中,正常条件下平均通行时间最短路将作为第一条备选路径,进而将出现在第一条备选路径上的道路单元及路网内其它高风险单元加权,其中单元可靠度越低,加权幅度越大。加权后重新计算最短路,从而已在第一条备选路径中出现的道路单元尤其是畅通可靠度较低(高阻塞风险)的单元将有较大可能不再出现在第二条备选路径上。在算法中,加权过程主要是为了尽可能避免各备选路径在高阻塞风险单元上重叠,从而减少共同失效的可能性。若所得第二条路径满足合理路径约束,则作为备选路径保留,否则减小加权幅度,重新计算备选路径。重复类似加权及合理路径约束检验过程,并不断检验备选路集的可靠度及条数直到所得备选路集的可靠度或条数满足在线可选要求。In this algorithm, the shortest path with average transit time under normal conditions will be used as the first alternative path, and then the road units appearing on the first alternative path and other high-risk units in the road network will be weighted, and the unit reliability The lower the value, the greater the weighting. The shortest path is recalculated after weighting, so that the road units that have appeared in the first alternative path, especially those with low reliability (high risk of blockage) will be more likely to no longer appear in the second alternative path superior. In the algorithm, the weighting process is mainly to avoid overlapping of alternative paths on high blocking risk units as much as possible, so as to reduce the possibility of common failure. If the obtained second path satisfies the reasonable path constraints, it is reserved as an alternative path, otherwise, the weighted range is reduced and the alternative path is recalculated. Repeat the similar weighting and reasonable path constraint inspection process, and continuously check the reliability and number of candidate road sets until the reliability or number of candidate road sets meets the online optional requirements.

算法如下:The algorithm is as follows:

1)令Q为整个路网的总起讫点对数,对所有起讫点对,初始化其备选路集Sn=φ,n表示Q中的第n个起讫点对,n=1,2,3……Q;1) Let Q be the total number of origin-destination pairs in the entire road network. For all origin-destination pairs, initialize its candidate road set S n = φ, n represents the nth origin-destination pair in Q, n=1, 2, 3...Q;

以各道路单元正常条件下的通行时间为路权,对所有点对用传统Dijkstra算法计算最短路Pn,1,进而计算其权重和为Ln,1,即为路径Pn,1的通行时间;将Pn,1存入第n个起讫点对的备选路集Sn,作为第一条备选路径;Taking the passing time of each road unit under normal conditions as the right of way, use the traditional Dijkstra algorithm to calculate the shortest path P n, 1 for all point pairs, and then calculate its weight sum as L n, 1 , which is the passage of the path P n, 1 Time; store P n, 1 in the candidate route set S n of the nth origin-destination pair as the first candidate route;

初始化所有起讫点对的备选路径条数Kn=1;Initialize the number of alternative paths K n =1 for all origin-destination pairs;

令n=1,即对第一个起讫点对进行计算;Let n=1, that is, calculate the first origin-destination pair;

2)对第n个起讫对,初始化迭代数m=0;2) For the nth start-destination pair, the number of initialization iterations m=0;

3)对路网上可靠度较低的道路单元(建议ri<0.5-0.9的单元为可靠度较低的道路单元,日常较为拥挤的城市取下限,日常较为畅通的城市取上限)和Sn中已有路径上的每个道路单元增加权重Δwi,令新一轮道路单元权重Wi’为:3) For road units with low reliability on the road network (units with r i <0.5-0.9 are recommended to be road units with low reliability, the lower limit is taken for cities that are more crowded in daily life, and the upper limit is taken for cities with relatively smooth daily life) and S n Add weight Δw i to each road unit on the existing path in , so that the new round of road unit weight W i ' is:

      Wi’=Wi+ΔWi=Wi+ αm(1-ri)qW0          (2)W i '=W i +ΔW i =W i + α m (1-r i ) q W 0 (2)

式中,Wi为单元平均通行时间路权,当m=0时,q=0,否则q=1;α为松弛因子,0<α<1,α越大该道路单元被包括在新路径里的可能性越小,相反α越小该单元被包括在新路径里的可能性越大;W0为一较大正数,建议取W0=1.5Ln,1~3Ln,1In the formula, W i is the unit average transit time right of way, when m=0, q=0, otherwise q=1; α is the relaxation factor, 0<α<1, the larger α is, the road unit is included in the new path The smaller the possibility in the path, on the contrary, the smaller the α, the greater the possibility that the unit will be included in the new path; W 0 is a large positive number, it is recommended to take W 0 =1.5L n,1 ~ 3L n,1 ;

4)令新一轮备选路径数Kn′=Kn+1,新一轮迭代次数m′=m+1,m=m′,以Wi’为路权,用现有A*算法计算最短路Pn,Kn,Kn=K’n,将路权恢复为Wi,重新计算Ln,Kn,Ln,Kn为Pn,Kn上的路权Wi之和;4) Set the number of alternative paths in the new round K n ′=K n +1, the number of iterations in the new round m′=m+1, m=m′, take W i ' as the right of way, and use the existing A* algorithm Calculate the shortest path P n, Kn , K n =K' n , restore the road weight to W i , recalculate L n, Kn , L n, Kn is the sum of the road weights W i on P n, Kn ;

5)如果Pn,Kn违反了合理路径约束条件Ln,Kn<βLn,1则Kn′=Kn-1,转到3);β为允许系数,一般与用户自身的意愿有关,β越大新路径用户绕行越长,相反β越小用户绕行越短,建议取1.0-1.5;否则将Pn,Kn存入Sn5) If P n, Kn violate the reasonable path constraints L n, Kn <βL n, 1 , then K n ′=K n -1, go to 3); β is the allowable coefficient, generally related to the user's own wishes, The larger the β, the longer the user's detour on the new path. On the contrary, the smaller the β, the shorter the user's detour. It is recommended to take 1.0-1.5; otherwise, store P n and Kn in S n ;

6)如果N’<Kn<N,N为最大的备选路径数,N’为最小的备选路径条数,则返回3);6) If N'<K n <N, N is the maximum number of alternative paths, and N' is the smallest number of alternative paths, then return 3);

7)如果整个路网的起讫点对全部计算完则结束,否则返回步骤2)计算第n+1个起讫点对,直到所有Q个起讫点对都计算完结束;7) If all the origin-destination pairs of the entire road network are calculated, then end, otherwise return to step 2) calculate the n+1th origin-destination pair, until all Q origin-destination pairs are calculated and end;

该算法首先对正常条件下的最短路上及路网其他高风险道路单元的权重加一很大的正值,进而计算新的最短路,当所得新的最短路路长超过绕行约束时,逐步减少增加的权重,从而在绕行约束条件下,有效的搜索到尽可能与已得到的备选路径中较高延误风险(低可靠度)单元重叠较少的可靠路径。同时尽量避开路网中其它高风险单元。在上述步骤中,函数αm(1-ri)qW0一方面可保证增加希望回避的单元的权重,从而减少了这些单元在新的备选路径中出现的可能性,另一方面,可确保随着迭代次数的增加,权重增加量减少,由此可保证部分原本希望回避的单元被备选路径所经过以满足绕行约束。该算法属于启发式算法,虽不一定得到最优解,可是它却可以更快地得到可接受的结果。The algorithm first adds a large positive value to the weight of the shortest path and other high-risk road units in the road network under normal conditions, and then calculates the new shortest path. When the length of the new shortest path exceeds the detour constraint, it gradually The added weight is reduced, so that under the circumvention constraints, a reliable path with less overlap with the higher delay risk (low reliability) units in the obtained alternative paths can be effectively searched. At the same time, try to avoid other high-risk units in the road network. In the above steps, the function α m (1-r i ) q W 0 can guarantee to increase the weight of the units that you want to avoid on the one hand, thereby reducing the possibility of these units appearing in the new alternative path, on the other hand, It can ensure that as the number of iterations increases, the amount of weight increase decreases, thereby ensuring that some units that are originally expected to be avoided are passed by alternative paths to meet the detour constraints. This algorithm belongs to the heuristic algorithm, although it may not get the optimal solution, but it can get the acceptable result faster.

(3)编码存储备选路集(3) Encode and store alternative way sets

尽管根据备选路径进行在线动态筛选实时反应性很好,但存储路网中所有点对的备选路径集合无疑需要巨大的存储空间,为此本发明利用现有路径编码技术进行备选路径存储。其中对于最短路,本发明对每个起讫点对间的最短路,假设起点为s,终点为t,中间节点为m1,m2,…mn,采用如下编码记录该条路:Although online dynamic screening based on alternative paths has good real-time responsiveness, storing the set of alternative paths for all point pairs in the road network undoubtedly requires a huge storage space. Therefore, the present invention uses existing path encoding technology to store alternative paths . Among them, for the shortest path, the present invention assumes that the starting point is s, the end point is t, and the intermediate nodes are m 1 , m 2 ,...m n for the shortest path between each start-destination point pair, and the following code is used to record the road:

<终点编号t,紧邻起点的下一节点编号m1,最短路长><end point number t, next node number m 1 next to the starting point, shortest path length>

对于非最短路的其他备选路径,则不能用此编码形式,可采用现有技术进行路径全信息存储。但因日常交通量较大的起讫点对才更有可能出现群聚现象及导致高峰计算延时。为此,可仅对日常交通量较大的重要起讫点对进行备选路径计算及存储。在现实也仅对日常交通量较大的重要起讫点对进行多路径信息发布。而对其它起讫点对仅需进行单路径信息发布。For other alternative paths that are not the shortest path, this encoding form cannot be used, and the existing technology can be used to store the full information of the path. However, due to the large daily traffic volume, the origin-destination pairs are more likely to have clustering phenomenon and lead to peak calculation delays. For this reason, alternative routes can be calculated and stored only for important origin-destination pairs with large daily traffic volume. In reality, multi-path information is released only for important origin-destination pairs with large daily traffic volume. For other origin-destination pairs, only single-path information publication is required.

2.第二阶段:在线阶段2. The second stage: online stage

(1)备选路径在线回溯(1) Online backtracking of alternative paths

利用现有路径回溯方法对路径进行在线回溯,对于备选路径中的最短路,根据用户的需求,先找到起终点对,即先找到起点s,然后在所有该起点的编码表中找到终点t,随后由该编码找到紧邻起点的下一节点m1,进而将m1作为新的起点,在m1的编码表中找到终点t的编码,然后找到紧邻新起点m1的第二个下一个节点m2,再以m2为新的起点,依次类推,直到下一个节点为终点停止,将这些节点依次记录便得到了最短路;对于备选路径中的非最短路,则按储存的所有节点编号按从起点到终点的顺序回溯。Use the existing path backtracking method to backtrack the path online. For the shortest path in the alternative path, according to the user's needs, first find the start-end pair, that is, first find the start point s, and then find the end point t in all the code tables of the start point. , and then use this code to find the next node m 1 next to the starting point, and then use m 1 as a new starting point, find the code of the end point t in the coding table of m 1 , and then find the second next node next to the new starting point m 1 Node m 2 , take m 2 as the new starting point, and so on until the next node is the end point, and record these nodes in turn to get the shortest path; for the non-shortest path in the alternative path, all stored Node numbers are traced back in order from start point to end point.

(2)在线动态路径筛选、补充搜索及多路径发布(2) Online dynamic path screening, supplementary search and multi-path publishing

在线时可根据动态交通信息进行路径筛选,即删去备选路径中发生阻塞延误的路径,进而将剩余备选路径对各导航车辆进行随机路径发布,当在线没有可用的备选路径或没有足够数量的可用备选路径用于避免群聚现象时,可根据实时交通信息重新利用建立备选路径集算法重新搜寻路径在线发布,算法结束。When online, route screening can be performed according to dynamic traffic information, that is, routes that are blocked and delayed in the alternative routes are deleted, and then the remaining alternative routes are randomly released to each navigation vehicle. When there are no alternative routes available online or there are not enough When the number of available alternative routes is used to avoid clustering, the alternative route set algorithm can be re-used according to real-time traffic information to re-search the route and publish it online, and the algorithm ends.

附图说明Description of drawings

图1算法总体流程图Figure 1 Algorithm Overall Flowchart

图2标定双参数道路属性文件流程图Figure 2 Flow chart of calibrating dual-parameter road attribute files

图3建立备选路径算法流程图Figure 3 Algorithm flow chart for establishing alternative paths

图4无绕行约束条件下的备选路径Figure 4 Alternative paths without detour constraints

图5有绕行约束但不考虑单元可靠度条件下的备选路径Figure 5 Alternative paths with detour constraints but without considering unit reliability

图6有绕行约束同时考虑单元可靠度条件下的备选路径Figure 6 Alternative paths with detour constraints and unit reliability considerations

图7利用欧几里德距离除以路网最大速度作为A*启发式函数估计值的路径搜索范围Figure 7 uses the Euclidean distance divided by the maximum speed of the road network as the path search range of the estimated value of the A* heuristic function

图8利用正常条件下最短通行时间作为A*启发式函数估计值的路径搜索范围Figure 8 Using the shortest travel time under normal conditions as the path search range of the estimated value of the A* heuristic function

图9搜索时间与结点数关系图Figure 9 The relationship between search time and the number of nodes

具体实施方式Detailed ways

本部分只对算法的第一阶段进行了实施,实施方法是在虚拟的网络和条件下进行了试验,首先,对一个有36个结点和60个路段的小网络在三种条件下进行在出行起点的有绕行约束的可靠路径搜索,利用该实验结果可显示发明的合理性,进而利用有2800个结点的大路网的试验结果显示该算法的搜索效率。结点用圆圈代表,结点号标于圈内。This part only implements the first stage of the algorithm. The implementation method is to carry out experiments under virtual network and conditions. First, a small network with 36 nodes and 60 road sections is tested under three conditions. Reliable path search with detour constraints at the starting point of travel, using the experimental results to show the rationality of the invention, and then using the experimental results of a large road network with 2800 nodes to show the search efficiency of the algorithm. The nodes are represented by circles, and the node numbers are marked inside the circles.

小网络如附图4到附图6所示,分别表示1)没考虑绕行约束;2)考虑绕行约束,但没有考虑单元可靠度;3)同时考虑绕行约束及单元可靠度三种情况。实施步骤如下:The small networks are shown in Figure 4 to Figure 6, which respectively indicate that 1) detour constraints are not considered; 2) detour constraints are considered, but unit reliability is not considered; 3) detour constraints and unit reliability are considered at the same time Condition. The implementation steps are as follows:

步骤一,标定道路双参数属性文件Step 1: Calibrate the road dual-parameter attribute file

由于实施过程在虚拟的路网下进行,所以对道路双参数属性文件的标定中采用随机赋值的方法对道路单元的双参数进行赋值;Since the implementation process is carried out under the virtual road network, the method of random assignment is used to assign values to the double parameters of the road unit in the calibration of the road double parameter attribute file;

具体方法为:对道路单元在速度范围30-60之间随机的分配速度,然后根据坐标计算道路单元长度,用长度除以随机分配的速度得到道路单元的平均通行时间;最后对道路单元的可靠度在0.7-0.99的范围内随机分配道路单元的可靠度,用来分析算法的有效性;The specific method is: randomly assign speeds to road units within the speed range of 30-60, then calculate the length of road units according to the coordinates, and divide the length by the randomly assigned speed to obtain the average transit time of road units; finally, the reliability of road units The reliability of the road unit is randomly assigned within the range of 0.7-0.99 to analyze the effectiveness of the algorithm;

步骤二,搜索备选路径集Step 2, search the set of alternative paths

利用上述建立备选路径集算法对路网进行备选路径搜索,其中为松弛因子α取值0.5,允许系数β取值1.2,较大正数W0=1.5Ln,1,最大的备选路径数N和最小的备选路径条数N’分别取5和3,这里将ri<0.9视为高风险道路单元,具体实施方法见上述算法描述;Use the above-mentioned algorithm for establishing an alternative path set to search for alternative paths in the road network, where the relaxation factor α takes a value of 0.5, the allowable coefficient β takes a value of 1.2, and a large positive number W 0 =1.5L n,1 , the largest alternative path The number N and the minimum number of alternative paths N' are respectively 5 and 3. Here, r i <0.9 is regarded as a high-risk road unit. See the above algorithm description for the specific implementation method;

步骤三,各选路集的编码存储Step 3: Coded storage of each routing set

按照上述编码存储方法对备选路径进行编码存储,并在图中标示出来,见附图4-6;Code and store the alternative paths according to the above code storage method, and mark them in the figure, see attached drawings 4-6;

算法实施后结果说明:After the algorithm is implemented, the result description:

最终算法第一阶段实施后的效果见附图4-8,正常条件下的平均速度(公里/小时)和可靠度标在相关路段的旁边。The effect after the first stage of the final algorithm is implemented is shown in Figure 4-8, and the average speed (km/h) and reliability under normal conditions are marked next to the relevant road sections.

起点和终点用黑色的矩形表示,起点号码为24,终点号码为35。第一条备选路径(平均通行时间最短路)用黑色表示,第二条备选路径用绿色表示,第三条备选路径用红色表示。The starting point and the ending point are represented by black rectangles, the starting point number is 24, and the ending point number is 35. The first candidate path (the shortest path with average transit time) is shown in black, the second candidate path is shown in green, and the third candidate path is shown in red.

在路段之间失效后相互独立的假设下,路径的可靠度就是所有该路径中的路段的可靠度之积,该积可以用于评价一个路径的可靠程度。表1为三种情况下的备选路集属性信息。Under the assumption that the road sections are independent after failure, the reliability of the path is the product of the reliability of all the road sections in the path, and this product can be used to evaluate the reliability of a path. Table 1 shows the attribute information of the candidate road sets in the three cases.

由附图可以看出,尽管图6中备选路集中重叠单元比图4及图5多,但其备选路集可靠度却高于图4及图5,原因在于其在构建备选路集时有效地规避了高阻塞风险的单元。It can be seen from the accompanying drawings that although there are more overlapping units in the candidate road set in Figure 6 than in Figure 4 and Figure 5, the reliability of the candidate road set is higher than that in Figure 4 and Figure 5, because it is in the construction of the candidate road set. Units with high blocking risk are effectively avoided during set time.

为检验改善A*算法启发式函数后的备选路径计算算法有效性,在2800个节点的路网上进行了试验,在用Dijkstra算法计算出所有点对间正常条件下通行时间最短路后,随机抽取一点对进行第二条备选线路的计算。附图7及附图8分别是利用欧几里德距离除以路网最大速度与利用正常条件下最短通行时间作为A*启发式函数估计值的路径搜索范围情况,图中黑圈表现的是搜索过程中扩展的点,前者扩展点数612,后者扩展点数81,由此可见,利用正常条件下最短通行时间作为A*启发式函数估计值搜索效率大大提高。In order to test the effectiveness of the alternative path calculation algorithm after improving the heuristic function of the A* algorithm, an experiment was carried out on a road network with 2800 nodes. Extract point pairs to calculate the second alternative route. Attached Figures 7 and 8 respectively show the path search range by dividing the Euclidean distance by the maximum speed of the road network and using the shortest passing time under normal conditions as the estimated value of the A* heuristic function. The black circles in the figure represent During the search process, the number of expansion points of the former is 612, and the number of expansion points of the latter is 81. It can be seen that the search efficiency is greatly improved by using the shortest transit time under normal conditions as the estimated value of the A* heuristic function.

根据对不同规模方格路网在内存为64M,CPU800M的笔记本上分别进行1000次的随机计算分析,第二条备选路径平均通过1~2次迭代可以得到,第三条备选路径平均通过3~4次迭代可以得到。总离线计算时间相比基于欧几里德距离估计的有约束A*算法总计算时间缩短平均缩短66%。在线计算时间则仅与单位时间内的请求导航车辆数及路网规模呈线性增长关系。附图9为不同规模路网下两阶段动态多路径寻优策略在线计算时间与完全在线动态A*算法路径寻优的效率比较。According to the random calculation and analysis of 1000 times on the notebook with 64M memory and 800M CPU for different scale grid road networks, the second alternative path can be obtained through 1-2 iterations on average, and the third alternative path can be obtained through an average of 1-2 iterations. 3 to 4 iterations can be obtained. The total offline calculation time is shortened by an average of 66% compared with the total calculation time of the constrained A* algorithm based on Euclidean distance estimation. The online calculation time only has a linear growth relationship with the number of vehicles requesting navigation per unit time and the scale of the road network. Figure 9 is a comparison of the online calculation time of the two-stage dynamic multi-path optimization strategy and the efficiency of the fully online dynamic A* algorithm path optimization under different scales of road networks.

表1三种情况下的备选路集属性信息Table 1 Alternative road set attribute information in three cases

Figure A20051010249800131
Figure A20051010249800131

Claims (2)

1, a kind of center control type onboard navigation system two-step multi-path optimization method is characterized in that, may further comprise the steps:
Phase one: off-line phase
(1) demarcates biparametric roadway element property file
T typical period of time, t>=3 will be divided in one day; Below operation carry out at any one typical period of time wherein, the method for operating of other period is identical;
Historical information processed with refine into two seed ginseng number form formulas and serve navigation algorithm: the one, the average transit time of the roadway element of each typical period of time, the one, the unblocked reliability of each typical period of time roadway element;
Roadway element generally comprises highway section and crossing; Utilize prior art that road network is converted into arc power network, soon the crossing respectively turns to virtual segment and represents that respectively turning to the delay time at stop is the transit time of virtual segment; The crowded not serious road network in the crossing, also the highway section transit time is only considered in the not delay of considering intersection; The segment unit thereby the road network roadway element can only show the way;
Each roadway element is carried out average transit time of each typical period of time and the demarcation of unblocked reliability biparametric, wherein sets up the average transit time of roadway element, adopt following method:
For roadway element with traffic flow historical data more than month, calculate roadway element i average transit time in a certain period under unimpeded condition with statistical method, this average transit time is exactly the weight w of roadway element i iFor the highway section of the traffic flow historical data of neither one more than the moon, can road section length divided by the weight w of highway section design rate as roadway element i i
Determine that wherein the roadway element unblocked reliability will be through two processes:
A. roadway element is done the binary condition hypothesis: the state that is about to roadway element is divided into two kinds: unimpeded and obstruction; Distinguish highway section boundary unimpeded and that block and be the unit of setting in advance, the highway section threshold speed that travels, then be considered as unimpededly greater than this value, then be considered as obstruction less than this value; It then is the intersection delay threshold value of setting in advance that the differentiation crossing respectively turns to boundary unimpeded and that block; Then be considered as unimpededly less than this value, then be considered as blocking greater than this value; Can be with upper threshold value according to Ministry of Communications's smooth traffic project standard formulation;
B. determine the unblocked reliability of roadway element, the unblocked reliability of roadway element can be defined as the probability that in official hour section roadway element is unimpeded or do not block; It determines that method is as follows:
To the traffic flow data of roadway element collection more than 3 months, adopt following formula to calculate roadway element i unblocked reliability r iApproximate value:
(2) set up the alternative path collection
1) make Q be total origin and destination logarithm of whole road network, right to all origin and destination, its alternative road collection S of initialization n=φ, n represent that n origin and destination among the Q are right, n=1,2,3 ... Q;
With the transit time under each roadway element normal condition is right of way, to have a few to calculating shortest path P with traditional dijkstra's algorithm N, 1, and then calculate its weight and be L N, 1, be path P N, 1Transit time; With P N, 1Deposit n the alternative road collection S that origin and destination are right in n, as article one alternative path;
The right alternative path bar in all origin and destination of initialization is counted K n=1;
Make n=1, promptly to first origin and destination to calculating;
2) right to n the beginning and the end, initialization number of iterations m=0;
3) the lower roadway element of online fiduciary level that satisfies the need, r is got in suggestion i<0.5-0.9, and S nIn each roadway element on the existing path increase weight Δ w i, make new round roadway element weight w i' be:
w i’=w i+Δw i=w im(1-r i) qW 0 (2)
In the formula, w iFor cell-average transit time right of way, when m=0, q=0, otherwise q=1; α is a relaxation factor, 0<α<1, and the possibility that big more this roadway element of α is included in the new route is more little, and the possibility that opposite more little this unit of α is included in the new route is big more; W 0Be big positive number, W is got in suggestion 0=1.5L N, 1~3L N, 1
4) make new round alternative path count K n'=K n+ 1, new round iterations m '=m+1, m=m ' is with w i' be right of way, with existing A *Algorithm computation shortest path P N, Kn, K n=K ' n, right of way is reverted to w i, recomputate L N, Kn, L N, KnBe P N, KnOn right of way w iSum;
5) if P N, KnViolated reasonable path constraint condition L N, Kn<β L N, 1K then n'=K n-1, forward 3 to); β is for allowing coefficient, and general relevant with user's self wish, it is long more that the big more new route user of β detours, and the opposite more little user of β detours short more, and 1.0-1.5 is got in suggestion; Otherwise with P N, KnDeposit S in n
6) if N '<K n<N, N are maximum alternative path number, and N ' is minimum alternative path bar number, then returns 3);
7), otherwise return step 2 if the origin and destination of whole road network are intact then finish to whole calculating) to calculate n+1 origin and destination right, up to all Q origin and destination to all calculating the bundle that finishes;
(3) the alternative road of off-line code storage collection
The shortest path of concentrating for alternative road wherein, the present invention to each origin and destination to shortest path, suppose that starting point is s, terminal point is t, intermediate node is m 1, m 2... m n, adopt this road of following encoded recording:
<terminal point numbering t, the next node numbering m of next-door neighbour's starting point 1, shortest path is long 〉
For other alternative paths of non-shortest path, then can not use this coding form, can adopt prior art to carry out path perfect information storage;
Subordinate phase: online stage
(2.1) alternative path is online recalls
Utilize the existing route retrogressive method that the path is carried out onlinely recalling, for the shortest path in the alternative path, according to user's demand, find terminus right earlier, promptly find starting point s earlier, in the coding schedule of all these starting points, find terminal point t then, find the next node m of next-door neighbour's starting point subsequently by this coding 1, and then with m 1As new starting point, at m 1Coding schedule in find the coding of terminal point t, find next-door neighbour's ground zero m then 1Second next node m 2, again with m 2Be new starting point, and the like, be that terminal point stops up to next node, these nodes are write down successively just obtained shortest path; For the non-shortest path in the alternative path, then recall by order from origin-to-destination by all node serial numbers that store;
(2.2) online dynamic route screening, additional search and multipath issue
Can carry out the path screening according to dynamic information when online, promptly leave out the path of incuring loss through delay takes place in the alternative path to block, and then will remain alternative path each navigation vehicle will be carried out random walk issue, when online when not having available alternative path or not having the available alternative path of sufficient amount to be used to avoid the clustering phenomenon, can utilize again according to Real-time Traffic Information and set up the online issue of search path again of alternative path set algorithm, algorithm finishes.
2, center according to claim 1 control type onboard navigation system two-step multi-path optimization method is characterized in that:
In the phase one: demarcate the unblocked reliability of determining roadway element in the biparametric roadway element property file in the off-line phase, when the traffic flow data that do not have more than 3 months, adopt the unblocked reliability of following functional form approximate estimation roadway element:
Figure A2005101024980004C1
In the formula,
r i---the unblocked reliability of roadway element i;
v i/ c i---be defined as the saturation degree of roadway element i, wherein v iBe flow, can obtain c by traffic flow data in a short time by roadway element i iBe the traffic capacity of unit i, different with grade and different according to road type, be a definite value, can check in by document;
Figure A2005101024980004C2
Beta, gamma---return undetermined coefficient; C---constant term.
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