人文学部研究年報12号.indb

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1 制御理論を用いた在庫管理モデルの一解析 * リードタイムが変動する場合 西平直史 1 [1, 2, 3, 4] [1] [2, 3, 4] [2] = +w(k) d(k) (1)

2 制御理論を用いた在庫管理モデルの一解析 西平 k w(k) d(k) L k u(k) (2) (1) 2 w(k) =u(k L) (2) = +u(k L) d(k) (3) [2] u(k) =K (4) (4) = +Kx(k L) d(k) (5) [2] L L L m > 0 L M 0 <L m L L M L L (5) d(k) =0 L m = 1, L M =3 L =1 = +K (6) [ ] = [ 1 K 1 0 ][ ] (7) L =2, 3 = = 1 0 K K (8) (9) x(k 3) 2 =0 (3) 0 0

3 (7) (9) L M =3 1 K 0 0 = x(k 3) = = 1 0 K K x(k 3) x(k 3) (10) (12) L = i L m i L M. ξ(k) = x(k i + 1) x(k i) x(k i 1). x(k L M ) (5) (10) (11) (12) ξ(k + 1) = A i ξ(k) (i = L m L M ) (13) K A i =

4 制御理論を用いた在庫管理モデルの一解析 西平 1: 3 (13) (13) [5] (13) i Lyapunov [6] K LMI P (13) A T i PA i P<0 (14) [5, 6] [7, 8] [7] A i [8] Matlab simulink 1 1 Variable Integer Delay 1 3 2

5 2: (Scpoe1) K = 1 3 K = (14) LMI 3 LMI 1 3 w(k) =0 K = K = 0.2 (14) LMI Matlab Robust Control Toolbox feasp LMI P = > K = 1 2

6 制御理論を用いた在庫管理モデルの一解析 西平 3: K = 1 (Scope) 4: K = 0.2 (Scope) K = K = 0.5 (14) LMI P 5 L =1 L =2 L =3 [8]

7 5: K = 0.5 (Scope) 4 [1] 2006 pp (2006) [2] Bullwhip 5, pp (2008) [3] 6, pp (2009) [4] 7, pp (2010)

8 制御理論を用いた在庫管理モデルの一解析 西平 [5] Vol. 23, No. 10, pp (2010) [6] (1999) [7] G. Zhai, B. Hu, A. M. Michel, L 2 Vol. 15, No. 3, pp (2002) [8] Vol. 15, No. 5, pp (2002) -55-

9 An Analysis of Inventory Management Models Using Control Theory a Case when the lead time is varied Naofumi NISHIHIRA This paper considers the problem of an analysis of inventory management models when the lead time is varied. We formulate the inventory management models as switching dynamical systems. We have shown that the stability of the entire switching systems can be reduced to simultaneously stability. Moreover, We confirmed the validity and limitations of the proposed method by some simulations. -55-

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MmUm+FopX m Mm+Mop F-Mm(Fop-Mopum)M m+mop MSuS+FX S M S+MOb Fs-Ms(Mobus-Fex)M s+mob Fig. 1 Particle model of single degree of freedom master/ slave sy Analysis and Improvement of Digital Control Stability for Master-Slave Manipulator System Koichi YOSHIDA* and Tetsuro YABUTA* Some bilateral controls of master-slave system have been designed, which can

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