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Tham khảo tài liệu 'supply chain management pathways for research and practice part 6', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Bullwhip-Effect and Flexibility in Supply Chain Management 89 In consequence the MAC inequality may be written in terms of the adjustment degree of production as follows 1 tì1 71 - 1 tì2 72 - 1 . tìn 7n - 1. 12 This is an interesting result because since Amp1 measures the bullwhip-effect of a given management system when faced to a specific demand behavior it suggests that monitoring of tì yields a more adequate feedback to the supply chain manager. In fact it furnishes her him with a control variable in the supply chain. In the next section this idea is explored for the three ordering methods. 3.2 Flexibility conditions for an AR 1 demand process A simple observation of Table 1 exposes the way that the adjustment behavior propagates upstream in the supply chain. Inspecting the expression 12 a manager could rapidly establish a control condition when implementing a particular method. For instance it is easy to see that a hybrid method satisfies 2 tì1 71 tì1 72 . tì1 7n whilst in a pull method with tì 0 Vi we have 2 71 72 . 7n. 13 14 However for a push method this condition needs to be found for every specific demand process. Therefore for sake of analysis let us assume that the demand rate can be accurately modeled by an i.i.d stationary AR 1 stochastic process with mean ụ variance Ớ2 and autocorrelation coefficient A G -1 1 . When a pull ordering method is adopted using 1 and 4 we have P Dt-iL. Hence for a stationary stochastic demand process it follows 7 mJ D-iL 2 - ID-Ll 2 2. 15 Thus the relation between tìi and Ampi is Amp tì 1. 16 But tìi 0 Vi see Table 1 which implies Ampi 1. In consequence a pull inventory management simultaneously minimizes tìi and accomplishes the MAC criteria. Differently when a push ordering method is considered using 1 and 2 we have i Pt Dt-iL D i 1-j L j 1 Dt-iL t. 17 90 Supply Chain Management - Pathways for Research and Practice Therefore E i E D t- i 1-j L i 1 -E Dt E i E AD j - ỉ-ị t- i 1-j L j 1 18 Y vD V D This equation shows that
