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Explore the concept of integrated lot sizing in manufacturing through a 54-minute seminar presented by Matthieu Gruson from the Université du Québec à Montréal. Delve into the fundamental aspects of lot sizing, a critical problem for manufacturing companies that involves determining optimal production timing and quantities to meet customer demand. Examine various attributes of the basic lot sizing problem, including production capacity restrictions, backorders, stochastic demand, lost sales, and different setup structures. Focus on the emerging research area of integrated lot sizing, which combines lot sizing decisions with other related aspects such as distribution and maintenance. Investigate three specific integration possibilities: lot sizing and maintenance, lot sizing and carbon emissions, and lot sizing and distribution. Gain insights into both modeling and algorithmic contributions for these integrated problems, and discover the vast potential for thousands of other integration possibilities in the field of lot sizing.