Robust production control policies considering WIP balance and setup time in a semiconductor fabrication line

Sejung Kim, Young Hoon Lee, Taeyong Yang, Namkyu Park

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This paper discusses the problem of determining workload in a semiconductor fabrication line for providing robust production control. A mathematical model is proposed to determine the amount of wafers to be processed on equipment in a photolithography process where the setup time is incurred if the type of wafers is changed on the equipment. The objective of the model is to control the fabrication line by maintaining the target work-in-process (WIP) level as close as possible for the purpose of short cycle time and by minimizing the setup time loss for maximal throughput. The proposed model is formulated using mixed integer programming (MIP) to minimize the weighted sum of two objective functions. A heuristic approach is suggested using linear relaxation and its adjustment. Performances are evaluated for the optimal solution with computational cost and for the heuristics. It is shown that the heuristics give good solutions which are 10% away, on average, from the optimal solution, but which can be obtained in a few seconds.

Original languageEnglish
Pages (from-to)333-343
Number of pages11
JournalInternational Journal of Advanced Manufacturing Technology
Volume39
Issue number3-4
DOIs
Publication statusPublished - 2008 Oct 1

Fingerprint

Production control
Semiconductor materials
Fabrication
Integer programming
Photolithography
Throughput
Mathematical models
Costs

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Software
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering

Cite this

@article{55e68a25d1864e8295a87b752496ad63,
title = "Robust production control policies considering WIP balance and setup time in a semiconductor fabrication line",
abstract = "This paper discusses the problem of determining workload in a semiconductor fabrication line for providing robust production control. A mathematical model is proposed to determine the amount of wafers to be processed on equipment in a photolithography process where the setup time is incurred if the type of wafers is changed on the equipment. The objective of the model is to control the fabrication line by maintaining the target work-in-process (WIP) level as close as possible for the purpose of short cycle time and by minimizing the setup time loss for maximal throughput. The proposed model is formulated using mixed integer programming (MIP) to minimize the weighted sum of two objective functions. A heuristic approach is suggested using linear relaxation and its adjustment. Performances are evaluated for the optimal solution with computational cost and for the heuristics. It is shown that the heuristics give good solutions which are 10{\%} away, on average, from the optimal solution, but which can be obtained in a few seconds.",
author = "Sejung Kim and Lee, {Young Hoon} and Taeyong Yang and Namkyu Park",
year = "2008",
month = "10",
day = "1",
doi = "10.1007/s00170-007-1208-4",
language = "English",
volume = "39",
pages = "333--343",
journal = "International Journal of Advanced Manufacturing Technology",
issn = "0268-3768",
publisher = "Springer London",
number = "3-4",

}

Robust production control policies considering WIP balance and setup time in a semiconductor fabrication line. / Kim, Sejung; Lee, Young Hoon; Yang, Taeyong; Park, Namkyu.

In: International Journal of Advanced Manufacturing Technology, Vol. 39, No. 3-4, 01.10.2008, p. 333-343.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Robust production control policies considering WIP balance and setup time in a semiconductor fabrication line

AU - Kim, Sejung

AU - Lee, Young Hoon

AU - Yang, Taeyong

AU - Park, Namkyu

PY - 2008/10/1

Y1 - 2008/10/1

N2 - This paper discusses the problem of determining workload in a semiconductor fabrication line for providing robust production control. A mathematical model is proposed to determine the amount of wafers to be processed on equipment in a photolithography process where the setup time is incurred if the type of wafers is changed on the equipment. The objective of the model is to control the fabrication line by maintaining the target work-in-process (WIP) level as close as possible for the purpose of short cycle time and by minimizing the setup time loss for maximal throughput. The proposed model is formulated using mixed integer programming (MIP) to minimize the weighted sum of two objective functions. A heuristic approach is suggested using linear relaxation and its adjustment. Performances are evaluated for the optimal solution with computational cost and for the heuristics. It is shown that the heuristics give good solutions which are 10% away, on average, from the optimal solution, but which can be obtained in a few seconds.

AB - This paper discusses the problem of determining workload in a semiconductor fabrication line for providing robust production control. A mathematical model is proposed to determine the amount of wafers to be processed on equipment in a photolithography process where the setup time is incurred if the type of wafers is changed on the equipment. The objective of the model is to control the fabrication line by maintaining the target work-in-process (WIP) level as close as possible for the purpose of short cycle time and by minimizing the setup time loss for maximal throughput. The proposed model is formulated using mixed integer programming (MIP) to minimize the weighted sum of two objective functions. A heuristic approach is suggested using linear relaxation and its adjustment. Performances are evaluated for the optimal solution with computational cost and for the heuristics. It is shown that the heuristics give good solutions which are 10% away, on average, from the optimal solution, but which can be obtained in a few seconds.

UR - http://www.scopus.com/inward/record.url?scp=52649138438&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52649138438&partnerID=8YFLogxK

U2 - 10.1007/s00170-007-1208-4

DO - 10.1007/s00170-007-1208-4

M3 - Article

VL - 39

SP - 333

EP - 343

JO - International Journal of Advanced Manufacturing Technology

JF - International Journal of Advanced Manufacturing Technology

SN - 0268-3768

IS - 3-4

ER -