Title |
A single-item lot-sizing problem with a by-product and inventory capacities |
ID_Doc |
25962 |
Authors |
Suzanne, E; Absi, N; Borodin, V; van den Heuvel, W |
Title |
A single-item lot-sizing problem with a by-product and inventory capacities |
Year |
2020 |
Published |
European Journal Of Operational Research, 287, 3 |
Abstract |
The high pace of waste accumulation in landfills and the depletion of scarce natural resources lead us to seek pathways for converting unavoidable production outputs into useful and high added-value products. In this context, we formalize and propose a model for the single-item lot-sizing problem, which integrates the management of unavoidable production residues classified as by-products. During the production process of a main product, a by-product is generated, stored in a limited capacity and transported with a fixed transportation cost. This problem is investigated for two cases of the by-product inventory capacity: time-dependent and constant. We prove that the problem with inventory capacities is NP-Hard. To solve it optimally, we develop a pseudo-polynomial time dynamic programming algorithm. For the case with stationary inventory capacities, a polynomial time dynamic programming algorithm is proposed. (C) 2020 Elsevier B.V. All rights reserved. |
PDF |
http://manuscript.elsevier.com/S0377221720304458/pdf/S0377221720304458.pdf
|