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Erschienen in:
2018 | OriginalPaper | Buchkapitel
Sensitivity Analysis of Backlogging Cost in Multi-item Capacitated Lot-Sizing Problem
verfasst von : Hanen Ben Ammar, Omar Ayadi, Faouzi Masmoudi
Erschienen in: Design and Modeling of Mechanical Systems—III
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Abstract
In this paper, a multi-item capacitated lot-sizing problem (MI-CLSP) with backlogging is considered. The problem is formulated as bi-objective optimization model with two conflicting objectives. The first one aims to minimize the total cost composed of production, setup, and backlogging costs and the second one aims to minimize the total inventory level. Augmented epsilon-constraint method is adopted when solving this problem in order to find the set of Pareto-optimal solutions. The goal of this study is to investigate the effect of variation in the backlogging cost on optimal Pareto solutions of the MI-CLSP. Several numerical examples with different demand typology are tested. The different sensitivity analyses show a considerable effect of the variation in the backlogging cost on the set of Pareto-optimal solutions. This investigation offers to the decision-makers a global visibility on the influence of variation on the backlogging cost on the optimal solutions of a MI-CLSP.