It is possible to represent the road map on paper and study it using Dijkstra`s algorithm find shortest path real earth. Algorithms are used for calculating from source sink enable query operations that follow. Dynamic shortest-route techniques needed accommodate modifications within underlying community topology. Every solution includes figuring out nodes whose routes could be impacted through...

Based on many large data set, we calibrate a nearoptimal heuristic as a constant function for guiding efficiently A or A∗ algorithm. We claim that this magic number exists as a universal constant for several kinds of date sets. This is perhaps related to the nature of their data sets though it is not theoretically analyzed yet. In general, A∗ and Dijkstra algorithms always pick up the optimal (...

It is well known that computing shortest paths over a network is an important task in many network and transportation related analyses. Choosing an adequate algorithm from the numerous algorithms reported in the literature is a critical step in many applications involving real road networks. In a recent study, a set of three shortest path algorithms that run fastest on real road networks has be...

This thesis introduces a new algorithm for quickly answering repetitive least-cost queries between pairs of points on the Earth's surface as represented by digital topographical maps. The algorithm uses a three-step process; preprocessing, geometrically modified Dijkstra search, and postprocessing. The preprocessing step computes and saves highly valuable global information that describes the u...

The notion of self-stabilization was rst introduced by Dijkstra : it is the property for a system to eventually recover itself a legitimate state after any perturbation modifying the memory state. This paper proposes a self-stabilizing depth-rst token circulation protocol for uniform rooted networks. Such an algorithm is very convenient to obtain the mutual exclusion or to construct a spanning ...

Nearest close friend query (k?NCF) in geo-social networks, aims to find the k nearest user objects from among ?-hop friends of user. Existing efforts on k?-NCF Euclidean space. In this paper, we study problem road-social networks.We propose two methods. One is based Dijkstra algorithm, and other ISLabel. For Dijkstra-based method, algorithm used traverse needed. label-based make use IS-Label ca...

Several special-purpose systems have been proposed to analyze programs in JavaScript and other dynamically typed languages. However, none of these prior systems support automated, modular verification for both higher-order and stateful features. This paper proposes a new refinement of the state monad, the Dijkstra state monad, as a way of structuring specifications for higher-order, stateful pr...