Publication: An analytical formula for variance of output from a series-parallel production system with no interstation buffers and time-dependent failures
Program
KU-Authors
KU Authors
Co-Authors
Advisor
Publication Date
1998
Language
English
Type
Journal Article
Journal Title
Journal ISSN
Volume Title
Abstract
This paper presents a method to determine the mean and the variance of the amount of materials produced in a fixed time interval by a continuous materials flow production system with N stations in series and M stations in parallel and no interstation buffers. Unreliable stations with exponential failure and repair times, time dependent failures, and deterministic processing times are considered. Closed-form expressions for the asymptotic mean and variance of the amount of materials produced per unit time are given for series, parallel, and series-parallel production systems with identical stations. It is shown that the distribution of the amount of materials produced in a fixed time is asymptotically normal. By using this property, effects of variability on the due-date performance are investigated by considering the probability of meeting a customer order on time. Numerical experiments that explore some relationships among performance measures and production system parameters are also presented.
Description
Source:
Mathematical and Computer Modelling
Publisher:
Pergamon-Elsevier Science Ltd
Keywords:
Subject
Computer science, interdisciplinary applications, Computer science, Software engineering, Mathematics, applied