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, Gyu M. Lee, Dimitris Kiritsis, Gregor von Cieminski |
| Publisher | Springer New York LLC |
| Pages | 27-33 |
| Number of pages | 7 |
| ISBN (Print) | 9783319997032 |
| DOIs | |
| Publication status | Published - 2018 Jan 1 |
| 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 | Korea, Republic of |
| City | Seoul |
| Period | 18/8/26 → 18/8/30 |
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Keywords
- Kingman equation
- Utilization
- Variation
- Waiting time
ASJC Scopus subject areas
- Information Systems
- Computer Networks and Communications
- Information Systems and Management
Cite this
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; Gyu M. Lee; Dimitris Kiritsis; Gregor von Cieminski. 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
}
TY - GEN
T1 - A small dice game for the kingman formula
AU - Roser, Christoph
AU - Nakano, Masaru
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
KW - Kingman equation
KW - Utilization
KW - Variation
KW - Waiting time
UR - http://www.scopus.com/inward/record.url?scp=85053267598&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85053267598&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-99704-9_4
DO - 10.1007/978-3-319-99704-9_4
M3 - Conference contribution
AN - SCOPUS:85053267598
SN - 9783319997032
T3 - IFIP Advances in Information and Communication Technology
SP - 27
EP - 33
BT - Advances in Production Management Systems. Production Management for Data-Driven, Intelligent, Collaborative, and Sustainable Manufacturing - IFIP WG 5.7 International Conference, APMS 2018, Proceedings
A2 - Moon, Ilkyeong
A2 - Park, Jinwoo
A2 - Lee, Gyu M.
A2 - Kiritsis, Dimitris
A2 - von Cieminski, Gregor
PB - Springer New York LLC
ER -