A New Framework for Addressing Temporal Range Queries and Some Preliminary Results

Abstract

Given a set of n objects, each characterized by d attributes specified at m fixed time instances, we are interested in the problem of designing space efficient indexing structures such that arbitrary temporal range search queries can be handled efficiently. When m = 1, our problem reduces to the d-dimensional orthogonal search problem. We establish efficient data structures to handle several classes of the general problem. Our results include a linear size data structure that enables a query time of O(log n log m/log log n + f) for one-sided queries when d = 1, where f is the number of objects satisfying the query. A similar result is shown for counting queries. We also show that the most general problem can be solved with a polylogarithmic query time using nonlinear space data structures.

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Document Details

Document Type
Technical Report
Publication Date
Jan 29, 2003
Accession Number
AD1006922

Entities

People

  • Joseph Jaja
  • Qingmin Shi

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Geographic Information Systems
  • Information Processing
  • Information Systems
  • Intervals
  • Numbers
  • Observation
  • Real Numbers
  • Sequences
  • Three Dimensional
  • Time Intervals
  • Trees (Data Structures)
  • Two Dimensional

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Computational Linguistics
  • Graph Algorithms and Convex Optimization.
  • Regression Analysis.

Technology Areas

  • Space
  • Space - Space Objects