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Letter to the editor

Letter to the editor Fundamental elements to layout design in dynamic environments are known as material flows . These material flows are described by continuous random variables. Let X 1 denote the material flow between two machines, say i and j . Let X 2 (assumed independent of X 1 ) denote the material flow between two machines, say k and r . The probability R =Pr( X 2 < X 1 ) is known as the superimposition probability between the two material flows and its computation is of importance for layout design ( Bragliaa et al., 2005 ). Probabilities of this form arise in many other areas too. Some examples are: • If X 2 represents the maximum chamber pressure generated by ignition of a solid propellant and X 1 represents the strength of the rocket chamber then R is the probability of successful firing of the engine. • If X 2 represents the diameter of a shaft and X 1 represents the diameter of a bearing that is to be mounted on the shaft then R is the probability that the bearing fits without interference. • Let X 1 and X 2 be the remission times of two chemicals when http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Transactions in Operational Research Wiley

Letter to the editor

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References (1)

Publisher
Wiley
Copyright
Copyright © 2007 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0969-6016
eISSN
1475-3995
DOI
10.1111/j.1475-3995.2007.00591.x
Publisher site
See Article on Publisher Site

Abstract

Fundamental elements to layout design in dynamic environments are known as material flows . These material flows are described by continuous random variables. Let X 1 denote the material flow between two machines, say i and j . Let X 2 (assumed independent of X 1 ) denote the material flow between two machines, say k and r . The probability R =Pr( X 2 < X 1 ) is known as the superimposition probability between the two material flows and its computation is of importance for layout design ( Bragliaa et al., 2005 ). Probabilities of this form arise in many other areas too. Some examples are: • If X 2 represents the maximum chamber pressure generated by ignition of a solid propellant and X 1 represents the strength of the rocket chamber then R is the probability of successful firing of the engine. • If X 2 represents the diameter of a shaft and X 1 represents the diameter of a bearing that is to be mounted on the shaft then R is the probability that the bearing fits without interference. • Let X 1 and X 2 be the remission times of two chemicals when

Journal

International Transactions in Operational Research – Wiley

Published: Jul 1, 2007

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