An Integrated Production Planning Model For Multiproduct Parallel Processor Environments

The goal of this work is to propose a multiperiod mixed-integer linear programming model for the design and production planning of multistage multiproduct batch plants integrating, simultaneously, scheduling decisions. The time horizon consists of several periods in which deterministic variations due to seasonal or market fluctuations like prices, products demand limits, costs, and raw materials availability, are taken into account. The plant operates using production campaigns along each time period. The objective function maximizes the net present value considering incomes from product sales and, investment, resources, inventories, operation, waste disposal and late delivery penalties costs. The proposed model allows not only finding the optimal plant structure (unit sizes and its duplication in parallel in each stage), but also the production planning in every time period as well as number and optimal sequence of batches in each campaign.

A collection of stories and essays written by my students at the University of Pécs, Hungary

This textbook provides a comprehensive modeling, reformulation and optimization approach for solving production planning and supply chain planning problems, covering topics from a basic introduction to planning systems, mixed integer programming (MIP) models and algorithms through the advanced description of mathematical results in polyhedral combinatorics required to solve these problems. Based on twenty years worth of research in which the authors have played a significant role, the book addresses real life industrial production planning problems (involving complex production structures with multiple production stages) using MIP modeling and reformulation approach. The book provides an introduction to MIP modeling and to planning systems, a unique collection of reformulation results, and an easy to use problem-solving library. This approach is demonstrated through a series of real life case studies, exercises and detailed illustrations. Review by Jakub Marecek (Computer Journal) The emphasis put on mixed integer rounding and mixing sets, heuristics in-built in general purpose integer programming solvers, as well as on decompositions and heuristics using integer programming should be praised... There is no doubt that this volume offers the present best introduction to integer programming formulations of lotsizing problems, encountered in production planning. (2007)