Formulating and solving a multi-mode resource-collaboration and constrained scheduling problem (MRCCSP)

Gaby Pinto (), Yariv Ben-Dov () and Gad Rabinowitz ()

Annals of Operations Research, 2013, vol. 206, issue 1, 339 pages

Abstract: The main motivation of this study is to provide, for the first time, a formulation and solution for a class of production scheduling problems (as in cluster tools) characterized mainly by resource collaboration to perform an operation and while allowing batches and considering alternative production methods. We develop a formulation for the new problem and term it a multiple mode per operation, resource collaboration, and constrained scheduling problem (MRCCSP). Some of the important new characteristics we consider are: multiple products (families); multiple orders (jobs) per family; precedence restrictions among the operations that constitute a job; alternative modes for the performance of an operation (each of which needs a set of collaborating resources) may be defined; complementary and exclusive restrictions between operation-modes; batch production is allowed; and setup times may depend on sequence and batch-size. The objective of the MRCCSP is to minimize makespan. We formulate the MRCCSP as a mixed integer linear programming model, and acknowledging the considerable size of the monolithic formulation required, we prescribe a specific method to achieve size reduction. Finally, a customized branch and bound algorithm for optimally solving this problem is proposed and examined experimentally. Copyright Springer Science+Business Media New York 2013

Keywords: Resource-sharing and scheduling problem; Resource constrained scheduling problem; Mixed integer linear programming; Branch and bound algorithm (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10479-012-1256-5

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