Mathematics Of Computing

Efficient Parallelization Using Rank Convergence in Dynamic Programming Algorithms

Communications of the ACM

This paper proposes an efficient parallel algorithm for an important class of dynamic programming problems that includes Viterbi, Needleman–Wunsch, Smith–Waterman, and Longest Common Subsequence. In dynamic programming, the subproblems that do not depend on each other, and thus can be computed in parallel, form stages, or wavefronts. The algorithm presented in this paper provides additional parallelism allowing multiple stages to be computed in parallel despite dependences among them. This paper demonstrates the efficiency of the parallel algorithm by showing significant speedups on a variety of important dynamic programming problems.

Algorithmic Game Theory and Artificial Intelligence

AI Magazine

We briefly survey the rise of game theory as a topic of study in artificial intelligence, and explain the term algorithmic game theory. Finally, we give short summaries of each of the six articles appearing in this issue.

Applied Dynamic Programming


This report is part of the RAND Corporation report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research. Unauthorized posting of RAND PDFs to a non-RAND Web site is prohibited. RAND PDFs are protected under copyright law.

Dynamic Programming


The Dawn of Dynamic Programming Richard E. Bellman (1920–1984) is best known for the invention of dynamic programming in the 1950s. During his amazingly prolific career, based primarily at The University of Southern California, he published 39 books (several of which were reprinted by Dover, including Dynamic Programming, 42809-5, 2003) and 619 papers. Professor Bellman was awarded the IEEE Medal of Honor in 1979 "for contributions to decision processes and control system theory, particularly the creation and application of dynamic programming." The IEEE citation continued: "Richard Bellman is a towering figure among the contributors to modern control theory and systems analysis.

On the theory of dynamic programming


This report is part of the RAND Corporation paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review. The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis.