penalty cost. back log KM hq + cm + Q 2 2KM Q = h economic order quantity, EOQ Wilson 2

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1 logistics 1

2 penalty cost. back log KM hq + cm + Q 2 2KM Q = h economic order quantity, EOQ Wilson 2

3 Wilson lot size lot-size formula Kotler[15], p602 Scarf [15] / s,s Veinott [18] 3

4 + + x d(x) f(x) x h H(x) hx x (x) x K x c O(x) cx K 4

5 [6] 4 store loyalty unit control 5

6 6

7 Y Z t w(t) w(t) i X1,X2,X3,... Y1,Y2,Y3,... Z1,Z2,Z3,

8 d(x H,100) d(x H,200) Robert [16], 8p 8

9 > > > x a (g H) x b (g H) x A (g H) x B (g H),, x (g H) Ia Ib IA IB Ia Ib IA IB 9

10 IB market segmentation h (x) h (x H) Arker and others[13], 410p 413p + I + I I

11 h (x ) h (x ) h (x )... x t H t H' A0 A1 A2... A0 A0,A1,A2... ( ) 11

12 [3] lead time 2 KM ( h + π ) S + cm + Q 2Q πq πs + 2 Q = 1 2 KM + h 1 π Wagner [17] i S-i s,s 12

13 [5] 202p 207p 218p x a (g H) x b (g H) +x c (g H) + x (g H) POS TBS TBS p-213p p-93p D. A. Arker & V. Kumar & G. S. Day, Marketing Research, sixth edition, Wiley, K. J. Arrow & S. Karlin & H. Scarf, Studies in the Mathematical Theory of Inventory and Production, Stanford, Calif.: Stanford Univ. Press, P. Kotler, Marketing Management: Analysis, Planning, Implementation, and Control, ninth edition 13

14 Printice-Hall, Christian P. Robert, The Bayesian Choice: A Decision -Theoretic Motivation, Springer-Verlag, H. E. Scarf, A Survey of Analytic Techniques in Inventory Theory, in H. E. Scarf, D. M Gilford, and M. W. Shelly (eds.), Multistage Inventory Models and Techniques, Stanford, Calif.: Stanford Univ. Press, A. F. Veinott, Jr., Optimal Stockage Policies with Non-stationary Stochastic Demands, in H. E. Scarf, D. M Gilford, and M. W. Shelly (eds.), Multistage Inventory Models and Techniques, Stanford, Calif.: Stanford Univ. Press, Harvey M. Wagner, Principles of Operations Research: With Application to Managerial Decisions, Prentice-Hall International editions, Prentice-Hall International Inc., London,

JAPAN MARKETING JOURNAL 116 Vol.29 No.42010

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