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Authors | Demand | Information | Error | Delay | Unwilled | Willed | Methodology | Number of echelons | Demand structure | Replenishment policy | Forecasting technique | Error model | Delay model | Impact on Bullwhip effect | Impact on average inventory | Impact on inventory variability |
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Lu et al. [52] | x | | x | | x | | Analytical model and numerical analysis | 2 | AR (1) | Order-up-to | MMSE | iid | NA | NA | NA | ↑↓ |
Kwak & Gavirneni [14] | X | | X | | X | | Analytical model and numerical analysis | 2 | iid | Order-up-to | NA | Percentage | NA | NA | Echelon 2: ↑ | NA |
Hoberg and Thonemann [17] | X | | | X | X | | Control theory | 2 | iid | Order-up-to | Exponential smoothing | NA | Constant (1–4 days) | ↑↓ | NA | NA |
Peng et al. [26] | | X | | X | X | | System dynamics simulation | 2 | NA | Order-up-to | Exponential smoothing | NA | Stochastic (negative exponential function) | NA | Echelon 2: ↑ | NA |
Hosoda and Disney [19] | X | | | X | X | | Analytical model and numerical analysis | 2 | AR (1) | Order-up-to | Conditional expectation (echelon 1): (a) sub-optimum (b) optimum | NA | Constant | (a) ↓ (b) ↑ | NA | (a) Echelon 1: ↑ (a) Echelon 2: ↓ (b) Echelon 1: ↑ (b) Echelon 2: ↑ |
Hosoda and Disney [18] | X | | | X | X | | Analytical model and numerical analysis | 1 | AR (1) | Order-up-to | Conditional expectation | NA | Constant (1 day) | NA | NA | Echelon 1: ↑ |
Kim [35] | X | | | X | X | | Analytical model and numerical analysis | 2 | AR (1) | Order-up-to | NA | NA | Constant | NA | NA | Echelon 2: ↑ |
Nachtmann et al. [36] | X | | X | | X | | Simulation model and statistical analysis | 1 | iid (gamma) | Order-up-to | Exponential smoothing (alpha = 0.1) | Percentage | NA | NA | Echelon 1: ↑ | NA |
Munoz and Clements [37] | | X | | X | X | | Discrete event simulation | 4 | Triangular random distribution | NA | NA | NA | Constant (1–4 weeks) | NA | NA | NA |
Choi [38] | X | | X | | X | | Simulation model | 2 | iid | Order-up-to | NA | Additive | NA | NA | Echelon 2: ↑ | NA |
Mishra et al. [13] | | X | X | | | X | Analytical model and numerical analysis | 2 | iid | NA | NA | NA | NA | NA | NA | NA |
Paik and Bagchi [40] | | X | | X | X | | Simulation model and statistical analysis | 4 | Step | Order-up-to | NA | NA | Constant (1–4 weeks) | ↑ | NA | NA |
Kim [42] | X | | | X | X | | Analytical model | 2 | AR (1) | Order-up-to | NA | NA | Constant | NA | NA | Echelon 2: ↑ |
Zhang [43] | X | | | X | X | | Analytical model | 1 | AR (1) | Order-up-to | MMSE | NA | Constant | ↓ | NA | NA |
Angulo et al. [45] | X | | X | | X | | Discrete event simulation and statistical analysis | 4 | Poisson process: (a) Stationary (b) Nonstationary | Order-up-to | Moving average | Percentage | NA | NA | (b) Echelon 2: ↑ | NA |
X | | | X | X | | NA | Constant (2 days) | NA | (a) Echelon 1: ↑ (a) Echelon 2: ↑ (b) Echelon 1: ↑ (b) Echelon 2: ↓ | NA |
Chen [48] | | X | | X | X | | Analytical model | N | iid | Order-up-to | NA | NA | Constant | NA | NA | NA |
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