Integrated resolution of assignment, sequencing and cutting problems in paper production planning

Abstract

The integrated planning of several activities implicated in paper production can lead to remarkable gains in terms of raw materials and resource usage. However, activities such as order assignment, production sequencing and cutting planning are usually addressed separately while ignoring the interactions among these processes. But the quality of the solution resulting from the juxtaposition of the partial solutions is not guaranteed, and may have a significant impact in terms of inefficiency of global performance. This article considers production planning in a pulp and paper industry in order to meet a set of orders of diverse types of products, admitting the possibility of producing simultaneously in two or more paper machines with their own features. The developed approach, ASC-3Steps, considers not only cutting optimisation but also extends itself to the processes of assigning orders to paper machines and production sequencing at each machine. Minimisation of wasted paper is assumed to be the overall goal. A set of computational results based on real data is presented.

Keywords:

• combinatorial optimisation
• heuristics
• scheduling
• cutting-stock
• assignment

Acknowledgements

The authors would like to thank the anonymous reviewers for their valuable comments, criticisms and suggestions that very much helped to improve this paper.