Manufacturing flow line systems: a review of models and analytical results
Queueing Systems: Theory and Applications - Special issue on queueing models of manufacturing systems
Feature Article: Optimization for simulation: Theory vs. Practice
INFORMS Journal on Computing
Proceedings of the 35th conference on Winter simulation: driving innovation
Simulation optimization: a review, new developments, and applications
WSC '05 Proceedings of the 37th conference on Winter simulation
Discrete Optimization via Simulation Using COMPASS
Operations Research
Simulation optimization with mathematical programming representation of discrete event systems
Proceedings of the 40th Conference on Winter Simulation
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Mathematical programming representation has been recently used to describe the behavior of discrete event systems as well as their formal properties. This paper proposes approximate mathematical programming models for the simulation--optimization of flow lines with finite buffer capacities. The approximation exploits the concept of time buffer, modeled as a constraint that put into a temporal relationship the completion times of two jobs in a sample path. The main advantage of the proposed formulation is that it preserves its linearity even when used for buffer optimization in multistage flow lines. The solution of the approximate model can be used to obtain bounds on the variables of the exact model, to reduce its feasible region and hence the computation time to find the optimal buffer allocation for the line.