We provide several new algorithmic results for the secluded path problem, specifically approximation and optimality results for the static algorithm of [3, 5], and an extension (h-Memory) of it based on de Bruijn graphs, when applied to bounded degree graphs and some other special graph classes which can model wireless communication and line-of-sight settings. Our primary result is that h-Memor...

This paper gives the first rigorous convergence analysis of analogs of Watkins’ Q-learning algorithm, applied to average cost control of finite-state Markov chains. We discuss two algorithms which may be viewed as stochastic approximation counterparts of two existing algorithms for recursively computing the value function of average cost problem the traditional relative value iteration algorith...

In this paper we consider deterministic and stochastic shortest path problems with an infinite, possibly uncountable, number of states. The objective is to reach or approach a special destination state through a minimum cost path. We use an optimal control problem formulation, under assumptions that parallel those for finite-node shortest path problems, i.e., there exists a path to the destinat...

We give an algorithm to compute a (Euclidean) shortest path in a polygon with h holes and a total of n vertices. The algorithm uses O(n) space and requires O(n + h 2 log n) time.

We study acceleration methods for point-to-point shortest path and constrained shortest path computations in directed graphs, in particular in road and railroad networks. Our acceleration methods are allowed to use a preprocessing of the network data to create auxiliary information which is then used to speed-up shortest path queries. We focus on two methods based on Dijkstra’s algorithm for sh...

Failure diagnosis in large and complex systems is a critical task. A discrete event system (DES) approach to the problem of failure diagnosis is presented in this paper. A classic solution to solve DES’s diagnosis is a stochastic Petri net. The foraging behavior of ant colonies can give rise to the shortest path, which will reduce the state explosion of stochastic Petri net. Therefore, a new mo...

We consider biobjective shortest path problems in networks with fuzzy arc lengths. Considering the available studies for single objective shortest path problems in fuzzy networks, using a distance function for comparison of fuzzy numbers, we propose three approaches for solving the biobjective prob- lems. The rst and second approaches are extensions of the labeling method to solve the sing...

During the last years, impressive progress has been achieved in the field of algorithm engineering. A problem becoming more and more important is that of data dependency: the performance of an algorithm often highly depends on the input. Yet, for a given input, it is highly non-trivial to select the best solving strategy. In this work, we introduce a new methodology for evaluating speed-up tech...

There exit several high speed computation applications that requires minimum distance computation between nodes in weighted graph. Dedicated techniques exist for this purpose are called as shortest path computation. Depending upon need of application, there are three type of shortest path problems; Single Source Shortest Path (SSSP), Single Destination Shortest Path (SDSP) and All Pair Shortest...