An FPTAS for a single-item capacitated economic lot-sizing problem with monotone cost structure
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- Chubanov, S., Kovalyov, M. & Pesch, E. Math. Program. (2006) 106: 453. doi:10.1007/s10107-005-0641-0
We present a fully polynomial time approximation scheme (FPTAS) for a capacitated economic lot-sizing problem with a monotone cost structure. An FPTAS delivers a solution with a given relative error ɛ in time polynomial in the problem size and in 1/ɛ. Such a scheme was developed by van Hoesel and Wagelmans  for a capacitated economic lot-sizing problem with monotone concave (convex) production and backlogging cost functions. We omit concavity and convexity restrictions. Furthermore, we take advantage of a straightforward dynamic programming algorithm applied to a rounded problem.