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Buffer allocation design for unreliable production lines using genetic algorithm and finite perturbation analysis

Khelil Kassoul, Naoufel Cheikhrouhou, Nicolas Zufferey

2021International Journal of Production Research29 citationsDOIOpen Access PDF

Abstract

The buffer allocation problem in production lines is an NP-hard combinatorial optimisation prob-lem. This paper proposes a new hybrid optimisation approach (using simulation) relying on geneticalgorithm (GA) and finite perturbation analysis (FPA). Unlike the infinitesimal perturbation analy-sis, which deals with small (infinitesimal variation) perturbations for estimating gradients of theperformance measure, FPA deals with larger (finite) or more lasting perturbations. It is an exten-sion specifically dedicated to discrete decision variables and applicable to most discrete-eventdynamic systems. The proposed method allows a global search using GA, with refinement in spe-cific solution-space regions using FPA. The main objective is to maximise the average productionrate of a production line with unreliable machines, by allocating the total buffer capacity in locationsbetween machines. Extensive numerical experiments show that: (1) the proposed hybrid GA-FPAmethod clearly outperforms the state-of-the-art methods from the literature; (2) combining FPA andGA is beneficial when compared to employing GA or FPA independent

Topics & Concepts

InfinitesimalPerturbation (astronomy)Mathematical optimizationAlgorithmGenetic algorithmProduction lineComputer scienceMathematicsEngineeringMechanical engineeringMathematical analysisPhysicsQuantum mechanicsScheduling and Optimization AlgorithmsSimulation Techniques and ApplicationsAdvanced Queuing Theory Analysis