The Statistical Longest Path Problem and its Application to Delay Analysis of Logical Circuits

Ei Ando, Masafumi Yamashita, Toshio Nakata, Yusuke Matsunaga

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

This paper presents an algorithm for estimating, in the sense below, the length of a longest path of a given directed acyclic graph (DAG) whose edge lengths are given as random variables with normal distributions. Let F(x) be the distribution function of the length of a longest path of a given DAG. The algorithm computes a normal distribution function F̃(x) such that F̃(x) ≤ F(x) if F(x) ≥ α, given a constant α (0.5 ≤ α < 1.0). We conduct two experiments to demonstrate the accuracy of F̃(x).

Original languageEnglish
Title of host publicationACM/IEEE International Workshop on Timing Issues in the Specification and Synthesis of Digital Systems
PublisherAssociation for Computing Machinery (ACM)
Pages134-139
Number of pages6
ISBN (Print)1581135262, 9781581135268
DOIs
Publication statusPublished - 2002
EventACM/IEEE International Workshop on Timing Issues in the Specification and Synthesis of Digital Systems - Monterey, CA, United States
Duration: Dec 2 2002Dec 3 2002

Publication series

NameACM/IEEE International Workshop on Timing Issues in the Specification and Synthesis of Digital Systems

Other

OtherACM/IEEE International Workshop on Timing Issues in the Specification and Synthesis of Digital Systems
CountryUnited States
CityMonterey, CA
Period12/2/0212/3/02

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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    Ando, E., Yamashita, M., Nakata, T., & Matsunaga, Y. (2002). The Statistical Longest Path Problem and its Application to Delay Analysis of Logical Circuits. In ACM/IEEE International Workshop on Timing Issues in the Specification and Synthesis of Digital Systems (pp. 134-139). (ACM/IEEE International Workshop on Timing Issues in the Specification and Synthesis of Digital Systems). Association for Computing Machinery (ACM). https://doi.org/10.1145/589411.589440