A general model for the optimal economic design of X̄ charts used to control short or long run processes

Enrique Del Castillo, Douglas Montgomery

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

A new model is presented for the optimal design of X̄ charts utilized for the statistical monitoring of processes where production runs have a finite duration. The proposed model considers the effect of the setup operation on the chart design. The model contains both Duncan's model and a model due to Ladany as particular cases, yet it allows the user to consider more realistic production environments. Two types of finite-length production process are considered: a repetitive manufacturing process and a job-shop process. New relationships between the length of the production run, the power of the chart and the nature of the process setup are found by numerically analyzing the behavior of the model.

Original languageEnglish (US)
Pages (from-to)193-201
Number of pages9
JournalIIE Transactions (Institute of Industrial Engineers)
Volume28
Issue number3
StatePublished - 1996

Fingerprint

Economics
Economic design
Short-run
Charts
Monitoring
Production process

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Management Science and Operations Research

Cite this

@article{0bac53acd886451eaac215701c9a7480,
title = "A general model for the optimal economic design of X̄ charts used to control short or long run processes",
abstract = "A new model is presented for the optimal design of X̄ charts utilized for the statistical monitoring of processes where production runs have a finite duration. The proposed model considers the effect of the setup operation on the chart design. The model contains both Duncan's model and a model due to Ladany as particular cases, yet it allows the user to consider more realistic production environments. Two types of finite-length production process are considered: a repetitive manufacturing process and a job-shop process. New relationships between the length of the production run, the power of the chart and the nature of the process setup are found by numerically analyzing the behavior of the model.",
author = "Castillo, {Enrique Del} and Douglas Montgomery",
year = "1996",
language = "English (US)",
volume = "28",
pages = "193--201",
journal = "IISE Transactions",
issn = "2472-5854",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

TY - JOUR

T1 - A general model for the optimal economic design of X̄ charts used to control short or long run processes

AU - Castillo, Enrique Del

AU - Montgomery, Douglas

PY - 1996

Y1 - 1996

N2 - A new model is presented for the optimal design of X̄ charts utilized for the statistical monitoring of processes where production runs have a finite duration. The proposed model considers the effect of the setup operation on the chart design. The model contains both Duncan's model and a model due to Ladany as particular cases, yet it allows the user to consider more realistic production environments. Two types of finite-length production process are considered: a repetitive manufacturing process and a job-shop process. New relationships between the length of the production run, the power of the chart and the nature of the process setup are found by numerically analyzing the behavior of the model.

AB - A new model is presented for the optimal design of X̄ charts utilized for the statistical monitoring of processes where production runs have a finite duration. The proposed model considers the effect of the setup operation on the chart design. The model contains both Duncan's model and a model due to Ladany as particular cases, yet it allows the user to consider more realistic production environments. Two types of finite-length production process are considered: a repetitive manufacturing process and a job-shop process. New relationships between the length of the production run, the power of the chart and the nature of the process setup are found by numerically analyzing the behavior of the model.

UR - http://www.scopus.com/inward/record.url?scp=0030104584&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030104584&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030104584

VL - 28

SP - 193

EP - 201

JO - IISE Transactions

JF - IISE Transactions

SN - 2472-5854

IS - 3

ER -