A Spatio-Temporal Representation for the Orienteering Problem with Time-Varying Profits

11/24/2016
by   Zhibei Ma, et al.
0

We consider an orienteering problem (OP) where an agent needs to visit a series (possibly a subset) of depots, from which the maximal accumulated profits are desired within given limited time budget. Different from most existing works where the profits are assumed to be static, in this work we investigate a variant that has arbitrary time-dependent profits. Specifically, the profits to be collected change over time and they follow different (e.g., independent) time-varying functions. The problem is of inherent nonlinearity and difficult to solve by existing methods. To tackle the challenge, we present a simple and effective framework that incorporates time-variations into the fundamental planning process. Specifically, we propose a deterministic spatio-temporal representation where both spatial description and temporal logic are unified into one routing topology. By employing existing basic sorting and searching algorithms, the routing solutions can be computed in an extremely efficient way. The proposed method is easy to implement and extensive numerical results show that our approach is time efficient and generates near-optimal solutions.

READ FULL TEXT
research
09/02/2022

Spatio-Temporal Attack Course-of-Action (COA) Search Learning for Scalable and Time-Varying Networks

One of the key topics in network security research is the autonomous COA...
research
04/12/2023

Time-varying STARMA models by wavelets

The spatio-temporal autoregressive moving average (STARMA) model is freq...
research
03/17/2021

A Survey on Spatio-temporal Data Analytics Systems

Due to the surge of spatio-temporal data volume, the popularity of locat...
research
05/06/2020

UST: Unifying Spatio-Temporal Context for Trajectory Prediction in Autonomous Driving

Trajectory prediction has always been a challenging problem for autonomo...
research
09/09/2019

GLoG: Laplacian of Gaussian for Spatial Pattern Detection in Spatio-Temporal Data

Boundary detection has long been a fundamental tool for image processing...
research
11/27/2020

Efficient Information Diffusion in Time-Varying Graphs through Deep Reinforcement Learning

Network seeding for efficient information diffusion over time-varying gr...
research
04/29/2018

On the Enumeration of Maximal (Δ, γ)-Cliques of a Temporal Network

A temporal network is a mathematical way of precisely representing a tim...

Please sign up or login with your details

Forgot password? Click here to reset