In this note, we polynomially reduce an instance of the partition problem to a dynamic lot sizing problem, and show that solving the latter problem solves the former problem. By solving the dynamic programming formulation of the dynamic lot sizing problem, we show that the instance of the partition problem can be solved with pseudo-polynomial time complexity. Numerical results on solving instances of the partition problem are also provided using an implementation of the algorithm that solves the dynamic program.
Citation
Updated Preprint