This paper proposes and solves a-autonomy and k-stops shortest path problems in large spatial databases. Given a source s and a destination d, an aautonomy query retrieves a sequence of data points connecting s and d, such that the distance between any two consecutive points in the path is not greater than a. A k-stops query retrieves a sequence that contains exactly k intermediate data points....

We consider the problem of classifying graphs using graph kernels. We define a new graph kernel, called the generalized shortest path kernel, based on the number and length of shortest paths between nodes. For our example classification problem, we consider the task of classifying random graphs from two well-known families, by the number of clusters they contain. We verify empirically that the ...

Shortest path is a fundamental graph problem with numerous applications. However, the concept of classic shortest path is insufficient or even flawed in a temporal graph, as the temporal information determines the order of activities along any path. In this paper, we show the shortcomings of classic shortest path in a temporal graph, and study various concepts of “shortest” path for temporal gr...

Stochastic Shortest Path problems (SSPs), a subclass of Markov Decision Problems (MDPs), can be efficiently dealt with using Real-Time Dynamic Programming (RTDP). Yet, MDP models are often uncertain (obtained through statistics or guessing). The usual approach is robust planning: searching for the best policy under the worst model. This paper shows how RTDP can be made robust in the common case...

Reliable shortest path finding in stochastic networks with spatial correlated link travel times Bi Yu Chen a b , William H.K. Lam a , Agachai Sumalee a & Zhi-lin Li c a Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hong Kong, PR China b State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan, PR Ch...

We propose shortest path algorithms that use A* semch in combination with a new graph-theoretic lower-bounding technique based on landmarks and the triangle inequality. Our algorithms compute optimal shortest paths and work on any directed graph. We give experimental results showing that the most efficient of our new algorithms outperforms previous algorithms, in particular A* search with Eucli...

In this paper, we model the problem of finding the minimum-delay route as a shortest path problem with stochastic costs. Our solution algorithm uses Monte Carlo simulation and network optimization techniques. Of particular novelty in our approach is the air network sampling that we use in order to accurately model the cascading effect of delays on flights. Our statistical models and simulations...

In this paper we study a variant of the shortest path problem in graphs: given a weighted graph G and vertices s and t, and given a set X of forbidden paths in G, find a shortest s-t path P such that no path in X is a subpath of P . Path P is allowed to repeat vertices and edges. We call each path in X an exception, and our desired path a shortest exception avoiding path. We formulate a new ver...

In this paper Cell Delay Variation (CDV) in an ATM multiplexer is investigated in the case where a Constant Bit Rate (CBR) traac stream is mixed with a background traac stream that arrives in the form of independent and identically distributed batches with general batch size distribution (Batch Bernoulli process). An exact Markovian solution approach is presented which gives the entries in the ...

We consider the stochastic on-time arrival (SOTA) problem of finding the optimal routing strategy for reaching a given destination within a pre-specified time budget and provide the first results on using preprocessing techniques for speeding up the query time. We start by identifying some properties of the SOTA problem that limit the types of preprocessing techniques that can be used in this s...