TY - GEN

T1 - Generation of production cycles in multiple server systems with setup times

T2 - The case study

AU - Feoktistova, V.

AU - Matveev, A.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - The paper deals with the standard fluid model of multiproduct multiple-server production system where both setup times and costs are incurred whenever the server changes product. The ultimate objective is to minimize the long-run average cost per unit time. The paper follows the general approach to this problem that suggests to first determine optimal steady state system behavior and then to design a scheduling policy ensuring convergence to this steady state as time progresses. The second part of this program is treated. We propose a novel Puancare-type approach to generation of required production cycles in manufacturing systems. The approach is based on a new criterion for stability of equilibria of discrete-time invariant systems. Along with general discussion, a detailed presentation of the proposed method is given with respect to the popular model of a reentrant manufacturing system proposed by Kumar and Seidman.

AB - The paper deals with the standard fluid model of multiproduct multiple-server production system where both setup times and costs are incurred whenever the server changes product. The ultimate objective is to minimize the long-run average cost per unit time. The paper follows the general approach to this problem that suggests to first determine optimal steady state system behavior and then to design a scheduling policy ensuring convergence to this steady state as time progresses. The second part of this program is treated. We propose a novel Puancare-type approach to generation of required production cycles in manufacturing systems. The approach is based on a new criterion for stability of equilibria of discrete-time invariant systems. Along with general discussion, a detailed presentation of the proposed method is given with respect to the popular model of a reentrant manufacturing system proposed by Kumar and Seidman.

UR - http://www.scopus.com/inward/record.url?scp=79960914862&partnerID=8YFLogxK

U2 - 10.3182/20090603-3-RU-2001.0138

DO - 10.3182/20090603-3-RU-2001.0138

M3 - Conference contribution

AN - SCOPUS:79960914862

SN - 9783902661432

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 564

EP - 569

BT - Proceedings of the 13th IFAC Symposium on Information Control Problems in Manufacturing, INCOM'09

PB - International Federation of Automatic Control

ER -