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Author

Nicholas G. Hall

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Preprint Sep 2026

Asymmetric Weighted Earliness-Tardiness: Scheduling with a Nonrestrictive Common Due Date

Single-machine asymmetric weighted earliness--tardiness (AWET) scheduling asks how to sequence jobs around a common synchronization date when early and late completion incur unrelated job-dependent penalties. At the boundary nonrestrictive date $d=\sum_jp_j$, a compact V-shaped schedule reduces the continuous-time prob...

Nicholas G. Hall, H. Kellerer, Song Miao · 0 citations
Preprint Sep 2026

Strong NP-Hardness and Approximation Algorithm for Weighted Tardiness with Release Dates and Identical Processing Times

We study nonpreemptive scheduling on a single machine with release dates, due dates, positive job weights, and a common processing time. The objective is to minimize total weighted tardiness. Although closely related equal-processing-time problems admit polynomial-time algorithms, the complexity of this problem has rem...

Zhi-Long Chen, Nicholas G. Hall · 0 citations
Preprint Aug 2026

Vehicle Platooning

This work designs fully polynomial-time approximation schemes and polynomial-time heuristics with provable performance guarantees for energy-efficient vehicle platoon sequencing and resequencing and presents an efficient algorithm for on-road vehicle resequencing when only limited position changes are permitted.

Zhi-Long Chen, Nicholas G. Hall · 1 citation
Review Aug 2026

Symmetric Numerical Three-Dimensional Matching: Intractability and Inapproximability

This tutorial develops three complementary hardness results for SN3DM, a role recovery under marginal symmetry that asks whether three disjoint labeled classes with identical weight multisets can be partitioned into class-transversal triples of one common target sum.

Zhi-Long Chen, Nicholas G. Hall · 0 citations

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