|
| Type of system | Author(s) | Order policy | Criteria | Solution methods |
|
| One-level | Chu et al. (1993) [9] | Lot-for-lot | Holding and backlogging cost | Iterative algorithm |
| Proth et al. (1997) [24] | Lot-for-lot | Holding and backlogging cost | Heuristic algorithm |
| Dolgui et al. (2002) [25] | Lot-for-lot | Holding and backlogging cost | Markovian model |
| Ould-Louly and Dolgui (2004) [10] | Lot-for-lot | Holding and backlogging costs | Markovian and Newsboy model for a dynamical multiperiod planning |
| Louly et al. (2008) [26] | Lot-for-lot | Minimized holding cost with keeping a high customer service level | Optimization |
| Louly and Dolgui (2011) [27] | POQ | holding, finished product backlogging, and setup costs | Branch and Bound |
| Louly et al. (2012) [12] | POQ | Setup and holding costs | Optimization |
| Sadeghi et al. (2013) [13] | POQ | Minimized fixed ordering, holding, and backlogging costs | Optimization |
| Sadeghi et al. (2015) [19] | POQ | Minimized fixed ordering, holding, and backlogging costs | Optimization |
|
| Two-level | Yano (1987) [8] | Lot-for-lot | Sum of holding and tardiness costs | Nonlinear programming |
| Tang and Grubbström (2003) [28] | Lot-for-lot | Stock-out and inventory holding costs | Laplace transform procedure |
| Axsäter (2006) [29] | | | Approximate decomposition technique, continuous distributions |
| Hnaien et al. (2009) [15] | Lot-for-lot | Holding and backlogging cost | Genetic algorithm optimization |
| Hnaien et al. (2010) [17] | Lot-for-lot | Holding costs to maximize the customer service level | Genetic algorithms |
| Sakiani et al. (2012) [16] | POQ | Minimized holding cost and maximized customer service | NSGA-II algorithm, multiobjective, tournament selection |
| Sadeghi et al. (2015) [18] | POQ | Minimized sum of fixed ordering, holding, and backlogging costs | Optimization |
|
| Multi-Level | Ammar et al. (2014) [22] | Lot-for-lot | Holding, backlogging, and inventory holding cost | Simulation, mathematical model, GA |
| Current paper | POQ | Minimized expected fixed ordering, holding, and partial backlogging cost with a percentage of components at each level are scrap | Optimization |
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