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What is Mixed Integer Programming

Handbook of Research on Artificial Intelligence Techniques and Algorithms
Involves problems in which some of the variables are constrained to be integers (design variables, representing the opening and closing facilities), while the other variables are allowed to be non-integers (control variables, representing the different flows circulating in the supply chain).
Published in Chapter:
A Stochastic Approach to Product-Driven Supply Chain Design
Khaoula Besbes (Université Lillle Nord de France, France & Université de Sfax, Tunisia), Hamid Allaoui (Université Lillle Nord de France, France), Gilles Goncalves (Université Lillle Nord de France, France), and Taicir Loukil (Université de Sfax, Tunisia)
DOI: 10.4018/978-1-4666-7258-1.ch003
Abstract
Supply chain is an alliance of independent business processes, such as supplier, manufacturing, and distribution processes that perform the critical functions in the order fulfillment process. However, the discussions in marketing and logistic literature universally conclude that it would be desirable to determine the life cycle of products in the firm, as they have a great impact on appropriate supply chain design. Designing a supply chain effectively is a complex and challenging task, due to the increasing outsourcing, globalization of businesses, continuous advances in information technology, and product life cycle uncertainty. Indeed, uncertainty is one of the characteristics of the product life cycle. In particular, the strategic design of the supply chain has to take uncertain information into account. This chapter presents a two-phase mathematical programming approach for effective supply chain design with product life cycle uncertainty considerations.
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Mathematical Programming Models for Classification
Mathematical programming models and associated solution techniques where some of the decision variables are required to be integers in the final solution.
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