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As already mentioned, there are difficulties in using the associated relaxed linear program, since there are many linearly dependent columns that cannot be simultaneously in a base when using the simplex method to solve the model. We could also develop a procedure that attempts to explore the similarity of this problem with the reduction of distinct patterns. For the minimization of tool switches problem, we can explore the idea of aggregating simple tasks, that is, tasks that require a small number of tools.

As a consequence, we could reduce the size of the instance and, hopefully, we would require a lower computational effort to solve the problem. The challenge is to define the aggregation procedure so that the solution of the modified instance is also optimal for the original one. There are cases where the aggregation of tasks is not possible simply because there are no simple tasks in the instance.

In these cases, we plan to verify whether the transformation of the minimization of tool switches problem in a generalized traveling salesman problem would not be an interesting alternative to be explored, since the number of nodes of the transformed problem does not grow much in these cases.


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We also intend to develop a decomposition procedure that reduces the original instance into a set of smaller-sized instances. The way we plan to decompose the problem is by duplicating tools. Another problem we have started studying is the packing of items in a multi-compartmentized truck with the objective of minimizing the handling of the cargo along the delivery route. For this multi-compartmentized vehicle loading problem, we now intend to take into account load balancing constraints and fragility.

An idea to explore is the possibility of shelf loading in each compartment. These are some of our future research plans.

[] Combinatorial Optimization on Gate Model Quantum Computers: A Survey

We hope to be able to contribute to the improvement of some production processes to contribute a little to the consolidation of research groups in this area as well as in related areas, and to promote scientific and technological development as well as the training of human resources in the field of operations research. Many of the results derived were obtained in collaboration with colleagues from many places and universities, graduate students, and my thesis advisor, Professor Gabriel Bitran.

I must thank all of them for their discussions, support, advise, and friendship. A method for solving the minimisation of the maximum number of open stacks problem. Published in CD Acta de Trabajos , ref. A method for solving the minimisation of the maximum number of open stacks problem within a cutting process. Computers and Operations Research , 31 14 : ISSN: DI Analysis of the uncapacitated dynamic lot size problem. Published by INPE, ref. Approximation methods for the uncapacitated lot size problem. Management Science , 30 9 : Published in the proceedings.

Computational complexity of the capacitated lot size problem. Management Science , 28 10 : Sloan WP No. Deterministic approximations to stochastic production problems. Operations Research , 32 5 : A pattern reduction procedure in a one-dimensional cutting stock problem by grouping items according to their demands. Journal of Computational Interdisciplinary Sciences , 1 2 : ISSN Resolution of the unidimensional cutting stock problem with usable leftover. The one-dimensional cutting stock problem with usable leftovers - a heuristic approach. European Journal of Operational Research , 3 : The usable leftover one-dimensional cutting stock problem - a priority in use heuristic.

Accepted, International Transactions in Operational Research, Um sistema de planejamento agregado de estoques. O problema CPM com investimento. Published in the Proceedings, vol. Published in the Proceedings, p. ISSN , 16 p. A linear programming approach to the cutting-stock problem. Operations Research , 9 : Computing partitions with applications to the knapsack problem.

ACM , pp.

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Published in the proceedings in CD. Published in the proceedings in CD, p. Abstract, p. Proceedings of the V Oficina, p. Campos, SP. On the minimization of open stack problem.

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Technical Report, ref. Industrial pattern-sequencing problems: some complexity results and new local search models.


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  • Connections between cutting-pattern sequencing, VLSI design, and flexible machines. Computers and Operations Research , 29 12 : Linear gate assignment: a fast statisticalmechanics approach.

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    Link Either by signing into your account or linking your membership details before your order is placed. Description Table of Contents Product Details Click on the cover image above to read some pages of this book! All Rights Reserved. In Stock. Project Management The Managerial Process. Operations Management 13th Edition. Operations and Supply Chain Management 15th edition. Business Research Metho Irwin Statistics. Introduction to Management Science, Global Edition.

    Two very general discrete structures with strong algorithmic properties are matroids and submodular functions, which can be found in a surprising and steadily growing number of applications. Numerous results have already been discovered for such algorithmically important mathematical structures. However, partially due to upcoming research areas, like online algorithms and submodular function maximization, many new open questions arose in the context of classical discrete structures. We believe that substantial progress in such emerging areas is tightly linked to deeper mathematical insights.

    At IFOR we therefore have a strong interest in the study of discrete structures, in particular poly- matroids and submodular functions, and their various applications. Our interest in this context covers a wide range of problems, including submodular function maximization, network coding, online algorithms, constrained spanning trees, Steiner Tree relaxations, multiobjective optimization, and matroid secretary problems.


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    Network optimization is a classic research focus in Combinatorial Optimization, and an important reason for the widespread use of Combinatorial Optimization in various application areas. Network optimization has many facets, and at IFOR we are interested in a diverse set of network optimization problems. In particular, we study network design problems like generalized spanning tree problems, the Steiner Tree problem, design of failure-resilient networks, Furthermore, we have a particular interest in problems related to network robustness.