A small dice game for the kingman formula

Christoph Roser; Masaru Nakano

doi:10.1007/978-3-319-99704-9_4

A small dice game for the kingman formula

Christoph Roser, Masaru Nakano

Graduate School of System Design and Management

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

There are three main factors influencing the waiting time of a single-arrival single-process system: the utilization, the fluctuation of the arrival, and the fluctuation of the process time. The influence of these is not linear, and the combination of these effects is worse than the individual sums. Different approximations exist for this relation, the most popular one being probably the Kingman equation. Now it is one thing to understand this in theory, but experiencing this in practice makes it much easier to understand and will prepare practitioners much better for its effect. This paper describes a quick and easy game to have the practitioners experience the individual and combined effects of both utilization and fluctuation.

Original language	English
Title of host publication	Advances in Production Management Systems. Production Management for Data-Driven, Intelligent, Collaborative, and Sustainable Manufacturing - IFIP WG 5.7 International Conference, APMS 2018, Proceedings
Editors	Ilkyeong Moon, Jinwoo Park, Dimitris Kiritsis, Gregor von Cieminski, Gyu M. Lee
Publisher	Springer New York LLC
Pages	27-33
Number of pages	7
ISBN (Print)	9783319997032
DOIs	https://doi.org/10.1007/978-3-319-99704-9_4
Publication status	Published - 2018
Event	IFIP WG 5.7 International Conference on Advances in Production Management Systems, APMS 2018 - Seoul, Korea, Republic of Duration: 2018 Aug 26 → 2018 Aug 30

Publication series

Name	IFIP Advances in Information and Communication Technology
Volume	535
ISSN (Print)	1868-4238

Other

Other	IFIP WG 5.7 International Conference on Advances in Production Management Systems, APMS 2018
Country/Territory	Korea, Republic of
City	Seoul
Period	18/8/26 → 18/8/30

Keywords

Kingman equation
Utilization
Variation
Waiting time

ASJC Scopus subject areas

Information Systems
Computer Networks and Communications
Information Systems and Management

Access to Document

10.1007/978-3-319-99704-9_4

Cite this

Roser, C., & Nakano, M. (2018). A small dice game for the kingman formula. In I. Moon, J. Park, D. Kiritsis, G. von Cieminski, & G. M. Lee (Eds.), Advances in Production Management Systems. Production Management for Data-Driven, Intelligent, Collaborative, and Sustainable Manufacturing - IFIP WG 5.7 International Conference, APMS 2018, Proceedings (pp. 27-33). (IFIP Advances in Information and Communication Technology; Vol. 535). Springer New York LLC. https://doi.org/10.1007/978-3-319-99704-9_4

A small dice game for the kingman formula. / Roser, Christoph; Nakano, Masaru.

Advances in Production Management Systems. Production Management for Data-Driven, Intelligent, Collaborative, and Sustainable Manufacturing - IFIP WG 5.7 International Conference, APMS 2018, Proceedings. ed. / Ilkyeong Moon; Jinwoo Park; Dimitris Kiritsis; Gregor von Cieminski; Gyu M. Lee. Springer New York LLC, 2018. p. 27-33 (IFIP Advances in Information and Communication Technology; Vol. 535).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Roser, C & Nakano, M 2018, A small dice game for the kingman formula. in I Moon, J Park, D Kiritsis, G von Cieminski & GM Lee (eds), Advances in Production Management Systems. Production Management for Data-Driven, Intelligent, Collaborative, and Sustainable Manufacturing - IFIP WG 5.7 International Conference, APMS 2018, Proceedings. IFIP Advances in Information and Communication Technology, vol. 535, Springer New York LLC, pp. 27-33, IFIP WG 5.7 International Conference on Advances in Production Management Systems, APMS 2018, Seoul, Korea, Republic of, 18/8/26. https://doi.org/10.1007/978-3-319-99704-9_4

Roser C, Nakano M. A small dice game for the kingman formula. In Moon I, Park J, Kiritsis D, von Cieminski G, Lee GM, editors, Advances in Production Management Systems. Production Management for Data-Driven, Intelligent, Collaborative, and Sustainable Manufacturing - IFIP WG 5.7 International Conference, APMS 2018, Proceedings. Springer New York LLC. 2018. p. 27-33. (IFIP Advances in Information and Communication Technology). https://doi.org/10.1007/978-3-319-99704-9_4

Roser, Christoph ; Nakano, Masaru. / A small dice game for the kingman formula. Advances in Production Management Systems. Production Management for Data-Driven, Intelligent, Collaborative, and Sustainable Manufacturing - IFIP WG 5.7 International Conference, APMS 2018, Proceedings. editor / Ilkyeong Moon ; Jinwoo Park ; Dimitris Kiritsis ; Gregor von Cieminski ; Gyu M. Lee. Springer New York LLC, 2018. pp. 27-33 (IFIP Advances in Information and Communication Technology).

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A small dice game for the kingman formula

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Keywords

ASJC Scopus subject areas

Access to Document

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