Abstract
Lot-sizing is a very important problem in production and inventory planning under variable demand. In this work, a general model is proposed for a single-item lot-sizing problem with multiple suppliers, quantity discounts, and backordering of shortages. Mixed integer programming (MIP) is used to formulate the problem and obtain the optimum solution for small problems. Due to the large number of variables and constraints in practical problems, the model is too difficult for an optimal solution. Therefore, an effective heuristic method is developed by modifying the well-known silver-meal heuristic. This heuristic method is shown to be effective for this problem, producing near-optimal solutions much faster than MIP.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.