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RESEARCH PAPERS

A Fiber-Optic-Based Protocol for Manufacturing System Networks: Part II—Statistical Analysis

[+] Author and Article Information
A. Ayyagari, A. Ray

Mechanical Engineering Department, The Pennsylvania State University, University Park, PA 16802

J. Dyn. Sys., Meas., Control 114(1), 121-131 (Mar 01, 1992) (11 pages) doi:10.1115/1.2896493 History: Received March 27, 1990; Revised January 01, 1991; Online March 17, 2008

Abstract

Conceptual development, architecture, statistical and simulation models, and the results of test and verification of a fiber-optic-based protocol have been reported in a sequence of two papers. The protocol uses the unidirectional bus topology and is specifically designed for computer integrated manufacturing (CIM) networks. The architecture of the protocol is formulated in Part I [1]. In this second part, a statistical model of the proposed protocol is formulated for analyzing the network-induced delays and pertinent results of analysis and simulation are presented for different scenarios of network traffic. The major assumptions in formulating the statistical model are: (1) message arrival processes for real-time (RT) and non-real-time (NRT) modes are independent and Markov; and (2) message lengths follow independent general distributions with known statistical properties. The Laplace-Stieltjes transforms of probability distribution functions of queueing delays for RT and NRT messages have been derived. The analytical results for the first two moments of both RT and NRT queueing delays have been compared with those obtained from discrete event simulation.

Copyright © 1992 by The American Society of Mechanical Engineers
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