| Strategy | Family | Time | Memory | Applicability |
| Adaptive exact selection | Adaptive exact strategy selection | O(T) in the NSM case; O(T log T) in the general case | O(T) | All validated classical ULS instances; dispatches from the no-speculative-motive condition |
| Wagner–Whitin classical | Wagner–Whitin DP | O(T²) | O(T²) | Classical ULS / Wagner–Whitin model |
| Wagner–Whitin / Evans | Wagner–Whitin DP | O(T²) | O(T) | Classical ULS / Wagner–Whitin model |
| Wagner–Whitin linear | Geometric DP | O(T) | O(T) | No speculative motive / Wagner–Whitin costs |
| Wagelmans general | Geometric DP | O(T log T) | O(T) | General time-varying ULS costs |
| Federgruen–Tzur general | Geometric DP | O(T log T) | O(T) | General time-varying ULS costs |
| Federgruen–Tzur linear (NSM) | Geometric DP | O(T) | O(T) | No speculative motive |
| Federgruen–Tzur linear (setup) | Geometric DP | O(T) | O(T) | Published restricted nondecreasing-setup case |
| Aggarwal–Park | Monge / geometric DP | O(T log T) | O(T) | General ULS costs represented by the library |
| Bahl–Taj planning horizon | Planning-horizon DP | O(T²) worst case | O(T) | No speculative motive |
| Heady–Zhu | Planning-horizon DP | O(T²) worst case | O(T) | Constant setup, production and relevant holding costs |
| Chowdhury–Baki–Azab | Linear Wagner–Whitin | O(T) | O(T) | Strictly positive demand; stationary relevant holding; constant unit production cost |
| Sadjadi–Aryanezhad–Sadeghi | Planning-horizon DP | O(T²) worst case | O(T) | Constant setup, production and relevant holding costs |
| Lyu–Lee parallel | Parallel DP | O(T²) work; O(T²/p) ideal parallel candidate span | O(T) | General ULS costs |
| Saydam–McKnew | Wagner–Whitin DP | O(T²) | O(T²) | General ULS costs represented by the library |
| Jacobs–Khumawala | Branch and bound | O(T²) | O(T) | General ULS costs represented by the library |
| Zangwill network | Network / shortest path | O(T²) | O(T) | Single-echelon no-backlogging ULS represented by the library |
| Strategy | Family | Time | Memory | Applicability |
| Lot-for-Lot | Baseline | O(T) | O(T) | General ULS costs |
| Silver–Meal | Average-cost | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Least Unit Cost | Average-cost | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Part-Period Balancing | Part-period | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Groff | Marginal-cost | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Periodic Order Quantity | Fixed-cycle | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Freeland–Colley | Marginal-cost | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Patterson–LaForge IPPA | Part-period | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Wemmerlöv corrected PPB | Part-period | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Wemmerlöv PPB + LALB | Look-ahead / look-back | O(T) | O(T) | Stationary costs; strictly positive demand |
| Wemmerlöv corrected PPB + LALB | Look-ahead / look-back | O(T) | O(T) | Stationary costs; strictly positive demand |
| Part-Period Simplified | Part-period | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Segerstedt reformulated Silver-Meal | Average-cost | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Chiu modified Least Unit Cost | Average-cost / post-processing | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Chiu-Ting modified Part-Period Balancing | Part-period / post-processing | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Ho-Chang-Solis net Least Period Cost | Average-cost / net period | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Ho-Chang-Solis improved nLPC(i) | Average-cost / net period | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| McLaren Order Moment | Part-period / EOQ hybrid | O(T) | O(T) | Stationary setup, production and relevant holding costs |
| Karni Maximum Part-Period Gain | Global part-period merge | O(T log T) | O(T) | Stationary setup, production and relevant holding costs |
1.17.0 