Abstract
To maintain a Just-In-Time (JIT) production system, two kinds of kanbans, that is, a production-ordering and a withdrawal kanbans are used as tools to control the production and withdrawal quantities in each process. The numbers of kanbans used in each process decide the performance of the JIT production system. In a previous paper, the authors considered the JIT production system with a stochastic demand, and proposed an algorithm for finding optimal numbers of two kinds of kanbans that minimized an expected average cost per period. This paper deals with the optimal control problem of the same production system which does not use kanbans. A problem of determining an optimal ordering and production policy that minimizes the expected average cost per period is formulated into a Markov decision process (MDP). Numerical comparisons between optimal policies computed by the MDP and kanban controls by optimal numbers of kanbans show that the JIT production system is sub-optimal.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the Japan/USA Symposium on Flexible Automation |
| Editors | K. Stelson, F. Oba |
| Pages | 1253-1256 |
| Number of pages | 4 |
| Publication status | Published - 1996 Dec 1 |
| Externally published | Yes |
| Event | Proceedings of the 1996 Japan-USA Symposium on Flexible Automation. Part 2 (of 2) - Boston, MA, USA Duration: 1996 Jul 7 → 1996 Jul 10 |
Publication series
| Name | Proceedings of the Japan/USA Symposium on Flexible Automation |
|---|---|
| Volume | 2 |
Conference
| Conference | Proceedings of the 1996 Japan-USA Symposium on Flexible Automation. Part 2 (of 2) |
|---|---|
| City | Boston, MA, USA |
| Period | 96/7/7 → 96/7/10 |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
Sub-optimality of a JIT production system with stochastic demand. / Ohno, Katsuhisa; Nakashima, Kenichi; Kojima, Mitsutoshi.
Proceedings of the Japan/USA Symposium on Flexible Automation. ed. / K. Stelson; F. Oba. 1996. p. 1253-1256 (Proceedings of the Japan/USA Symposium on Flexible Automation; Vol. 2).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Sub-optimality of a JIT production system with stochastic demand
AU - Ohno, Katsuhisa
AU - Nakashima, Kenichi
AU - Kojima, Mitsutoshi
PY - 1996/12/1
Y1 - 1996/12/1
N2 - To maintain a Just-In-Time (JIT) production system, two kinds of kanbans, that is, a production-ordering and a withdrawal kanbans are used as tools to control the production and withdrawal quantities in each process. The numbers of kanbans used in each process decide the performance of the JIT production system. In a previous paper, the authors considered the JIT production system with a stochastic demand, and proposed an algorithm for finding optimal numbers of two kinds of kanbans that minimized an expected average cost per period. This paper deals with the optimal control problem of the same production system which does not use kanbans. A problem of determining an optimal ordering and production policy that minimizes the expected average cost per period is formulated into a Markov decision process (MDP). Numerical comparisons between optimal policies computed by the MDP and kanban controls by optimal numbers of kanbans show that the JIT production system is sub-optimal.
AB - To maintain a Just-In-Time (JIT) production system, two kinds of kanbans, that is, a production-ordering and a withdrawal kanbans are used as tools to control the production and withdrawal quantities in each process. The numbers of kanbans used in each process decide the performance of the JIT production system. In a previous paper, the authors considered the JIT production system with a stochastic demand, and proposed an algorithm for finding optimal numbers of two kinds of kanbans that minimized an expected average cost per period. This paper deals with the optimal control problem of the same production system which does not use kanbans. A problem of determining an optimal ordering and production policy that minimizes the expected average cost per period is formulated into a Markov decision process (MDP). Numerical comparisons between optimal policies computed by the MDP and kanban controls by optimal numbers of kanbans show that the JIT production system is sub-optimal.
UR - http://www.scopus.com/inward/record.url?scp=0030411528&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030411528&partnerID=8YFLogxK
M3 - Chapter
AN - SCOPUS:0030411528
T3 - Proceedings of the Japan/USA Symposium on Flexible Automation
SP - 1253
EP - 1256
BT - Proceedings of the Japan/USA Symposium on Flexible Automation
A2 - Stelson, K.
A2 - Oba, F.
ER -