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

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  • Gaby Pinto
  • Yariv Ben-Dov
  • Gad Rabinowitz

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

Suggested Citation

  • Gaby Pinto & Yariv Ben-Dov & Gad Rabinowitz, 2013. "Formulating and solving a multi-mode resource-collaboration and constrained scheduling problem (MRCCSP)," Annals of Operations Research, Springer, vol. 206(1), pages 311-339, July.
    • Handle: RePEc:spr:annopr:v:206:y:2013:i:1:p:311-339:10.1007/s10479-012-1256-5
    DOI: 10.1007/s10479-012-1256-5
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    References listed on IDEAS

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