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A version of the dynamic lot-sizing (DLS) problem involving durable products with end-of-use constraints is analyzed in this paper. First, we mathematically formulate this problem, then certain properties are derived to construct the structure of the optimal solution. Next, based on these properties, a recursive optimization algorithm is proposed for a single-item problem. Moreover, an approximate...
This study proposes a heuristic approach for the solution of the multi-item dynamic lot sizing problem of durable product with end-of-use constraints. The difficulty in solving this problem is to decompose it into item-level subproblems while ensuring the feasibility of the solution. The proposed technique aims to resolve this issue by combining the capabilities of Lagrangean relaxation to decompose...
In this paper, we analyze a version of the dynamic lot sizing (DLS) problem for the durable products with end-of-use constraints. First, We formulate it mathematically, then some properties are derived to construct the structure of the optimal solution. Next, based on the properties, we propose an optimization algorithm recursively. Moreover, we design an approximation algorithm from the optimization...
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