Buffer allocation design for unreliable production lines using genetic algorithm and finite perturbation analysis
Khelil Kassoul, Naoufel Cheikhrouhou, Nicolas Zufferey
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