# Accession Number:

## ADA243324

# Title:

## A Stochastic Approach to the Weighted-Region Problem: 1. The Design of the Path Annealing Algorithm

# Descriptive Note:

## Technical rept. Oct 90-Sep 91,

# Corporate Author:

## NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF COMPUTER SCIENCE

# Personal Author(s):

# Report Date:

## 1991-06-01

# Pagination or Media Count:

## 45.0

# Abstract:

This paper presents an efficient heuristic algorithm for planning near-optimal high-level paths for a point agent through complex terrain modeled by the Weighted-Region Problem. The input to the Weighted-Region Problem is a set of non-overlapping convex homogeneous-cost regions on a two dimensional plane. Each region is associated with a cost coefficient or weight, which indicates the relative cost per unit distance of movement in that region by the point agent. The weighted distance between two points in a convex region is the product of the corresponding cost coefficient and the Euclidean distance between them. Given a start and a goal point on the plane, the objective of the Weighted-Region Problem is to find a minimum cost path from start to goal through the weighted regions. We have designed and developed a very efficient algorithm for finding near-optimal solutions for the Weighted-Region Problem using a combination of the classical artificial intelligence heuristic search techniques and the probabilistic combinatorial optimization technique called simulated annealing. Extensive test results to be presented in Part II of the paper indicate that the new algorithm runs much faster than previous known techniques with a very minimal sacrifice in optimality.

# Descriptors:

# Subject Categories:

- Operations Research
- Manufacturing and Industrial Engineering and Control of Production Systems