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A lagrangian relaxation approach for supply chain planning with order/setup costs and capacity constraints
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In this paper, this problem is formulated as an optimal sampling frequency assignment problem, where the objective function is to maximize the utility of control systems, subject to channel capacity constraints.
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This paper develops a model for the reorder interval problem for general production systems with constant demand, multiple capacity constraints, commonality, non-instantaneous production, and non-nested reorder intervals.
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Sequence dependent setup times are formulated as capacity constraints, and then are relaxed using Lagrangian multipliers.
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This will increase the number of capacity constraints, which may increase the solution time of the LP formulation.
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