Moment-based approximations for first- and second-order transient performance measures of an unreliable workstation

Farhood Rismanchian; Young Hoon Lee

doi:10.1007/s12351-016-0254-9

Moment-based approximations for first- and second-order transient performance measures of an unreliable workstation

Farhood Rismanchian, Young Hoon Lee

Department of Industrial Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Performance measures of manufacturing systems have been intensively researched. However, little attention has been paid to the transient performance analysis of non-Markovian production systems. Therefore, this paper proposes a method to approximate the properties of a two-state non-Markovian system. In particular, an unreliable workstation with two states, operating and failed states, is considered. This system is a simplified version of an industrial manufacturing system. Moment-based approximations for the expected output quantity of the workstation at any arbitrary time is derived and discussed. In addition, an upper bound approximation for the variation of the produced amount is proposed. Failure and repair times are assumed to be arbitrarily distributed. The proposed approximations are compared with a simulated model using the ARENA 10 free version software to demonstrate the accuracy of the method. These approximations are nonparametric, easy to implement and depend only on the first three moments of the underlying distributions without recourse to the functional form of the distributions.

Original language	English
Pages (from-to)	75-95
Number of pages	21
Journal	Operational Research
Volume	18
Issue number	1
DOIs	https://doi.org/10.1007/s12351-016-0254-9
Publication status	Published - 2018 Apr 1

Bibliographical note

Funding Information:
We are indebted to the editor and anonymous referees of the journal for their constructive comments that helped us to improve the quality of this paper. In addition, the first author would like to thank Professor Alagar Rangan for sharing his insights regarding this study and for his suggestions. This work was partially supported by National Research Foundation of Korea (NRF). Grant funded by the Korean government (MSIP) under Grant No. NRF-2014R1A2A2A03003874.

Funding Information:
Acknowledgments We are indebted to the editor and anonymous referees of the journal for their constructive comments that helped us to improve the quality of this paper. In addition, the first author would like to thank Professor Alagar Rangan for sharing his insights regarding this study and for his suggestions. This work was partially supported by National Research Foundation of Korea (NRF). Grant funded by the Korean government (MSIP) under Grant No. NRF-2014R1A2A2A03003874.

Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modelling and Simulation
Strategy and Management
Statistics, Probability and Uncertainty
Management Science and Operations Research
Computational Theory and Mathematics
Management of Technology and Innovation

Access to Document

10.1007/s12351-016-0254-9

Cite this

@article{e852bc9c420c467fa98aaefc885da3f0,

title = "Moment-based approximations for first- and second-order transient performance measures of an unreliable workstation",

abstract = "Performance measures of manufacturing systems have been intensively researched. However, little attention has been paid to the transient performance analysis of non-Markovian production systems. Therefore, this paper proposes a method to approximate the properties of a two-state non-Markovian system. In particular, an unreliable workstation with two states, operating and failed states, is considered. This system is a simplified version of an industrial manufacturing system. Moment-based approximations for the expected output quantity of the workstation at any arbitrary time is derived and discussed. In addition, an upper bound approximation for the variation of the produced amount is proposed. Failure and repair times are assumed to be arbitrarily distributed. The proposed approximations are compared with a simulated model using the ARENA 10 free version software to demonstrate the accuracy of the method. These approximations are nonparametric, easy to implement and depend only on the first three moments of the underlying distributions without recourse to the functional form of the distributions.",

author = "Farhood Rismanchian and Lee, {Young Hoon}",

note = "Funding Information: We are indebted to the editor and anonymous referees of the journal for their constructive comments that helped us to improve the quality of this paper. In addition, the first author would like to thank Professor Alagar Rangan for sharing his insights regarding this study and for his suggestions. This work was partially supported by National Research Foundation of Korea (NRF). Grant funded by the Korean government (MSIP) under Grant No. NRF-2014R1A2A2A03003874. Funding Information: Acknowledgments We are indebted to the editor and anonymous referees of the journal for their constructive comments that helped us to improve the quality of this paper. In addition, the first author would like to thank Professor Alagar Rangan for sharing his insights regarding this study and for his suggestions. This work was partially supported by National Research Foundation of Korea (NRF). Grant funded by the Korean government (MSIP) under Grant No. NRF-2014R1A2A2A03003874. Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

year = "2018",

month = apr,

day = "1",

doi = "10.1007/s12351-016-0254-9",

language = "English",

volume = "18",

pages = "75--95",

journal = "Operational Research",

issn = "1109-2858",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Moment-based approximations for first- and second-order transient performance measures of an unreliable workstation

AU - Rismanchian, Farhood

AU - Lee, Young Hoon

N1 - Funding Information: We are indebted to the editor and anonymous referees of the journal for their constructive comments that helped us to improve the quality of this paper. In addition, the first author would like to thank Professor Alagar Rangan for sharing his insights regarding this study and for his suggestions. This work was partially supported by National Research Foundation of Korea (NRF). Grant funded by the Korean government (MSIP) under Grant No. NRF-2014R1A2A2A03003874. Funding Information: Acknowledgments We are indebted to the editor and anonymous referees of the journal for their constructive comments that helped us to improve the quality of this paper. In addition, the first author would like to thank Professor Alagar Rangan for sharing his insights regarding this study and for his suggestions. This work was partially supported by National Research Foundation of Korea (NRF). Grant funded by the Korean government (MSIP) under Grant No. NRF-2014R1A2A2A03003874. Publisher Copyright: © 2016, Springer-Verlag Berlin Heidelberg.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - Performance measures of manufacturing systems have been intensively researched. However, little attention has been paid to the transient performance analysis of non-Markovian production systems. Therefore, this paper proposes a method to approximate the properties of a two-state non-Markovian system. In particular, an unreliable workstation with two states, operating and failed states, is considered. This system is a simplified version of an industrial manufacturing system. Moment-based approximations for the expected output quantity of the workstation at any arbitrary time is derived and discussed. In addition, an upper bound approximation for the variation of the produced amount is proposed. Failure and repair times are assumed to be arbitrarily distributed. The proposed approximations are compared with a simulated model using the ARENA 10 free version software to demonstrate the accuracy of the method. These approximations are nonparametric, easy to implement and depend only on the first three moments of the underlying distributions without recourse to the functional form of the distributions.

AB - Performance measures of manufacturing systems have been intensively researched. However, little attention has been paid to the transient performance analysis of non-Markovian production systems. Therefore, this paper proposes a method to approximate the properties of a two-state non-Markovian system. In particular, an unreliable workstation with two states, operating and failed states, is considered. This system is a simplified version of an industrial manufacturing system. Moment-based approximations for the expected output quantity of the workstation at any arbitrary time is derived and discussed. In addition, an upper bound approximation for the variation of the produced amount is proposed. Failure and repair times are assumed to be arbitrarily distributed. The proposed approximations are compared with a simulated model using the ARENA 10 free version software to demonstrate the accuracy of the method. These approximations are nonparametric, easy to implement and depend only on the first three moments of the underlying distributions without recourse to the functional form of the distributions.

UR - http://www.scopus.com/inward/record.url?scp=84978160186&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84978160186&partnerID=8YFLogxK

U2 - 10.1007/s12351-016-0254-9

DO - 10.1007/s12351-016-0254-9

M3 - Article

AN - SCOPUS:84978160186

SN - 1109-2858

VL - 18

SP - 75

EP - 95

JO - Operational Research

JF - Operational Research

IS - 1

ER -

Moment-based approximations for first- and second-order transient performance measures of an unreliable workstation

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this