The flow shop scheduling problems with fuzzy processing times and fuzzy due dates are investigated in this paper. The concepts of earliness and tardiness are interpreted by using the concepts of possibility and necessity measures that were developed in fuzzy sets theory. And the objective function will be taken into account through the different combinations of possibility and necessity measures. The genetic algorithm will be invoked to tackle these objective functions. A new idea based on longest common substring will be introduced at the best-keeping step. This new algorithm reduces the number of generations needed to reach the stopping criterion. Also, we implement the algorithm on CUDA. The numerical experiments show that the performances of the CUDA program on GPU compare favorably to the traditional programs on CPU.

[pt] Esta dissertação de mestrado analisa um problema de programação de máquinas em série com datas de entrega e ganhos cumulativos sob incerteza. Em particular, este trabalho considera situações reais na quais os tempos de processamento e datas de liberação são estocásticos. O objetivo principal deste trabalho é a resolução deste problema de programação de máquinas em série em um ambiente estocástico buscando analisar a relação entre diferentes niveis de incerteza e o benefício esperado. Visando atingir este objetivo, primeiramente uma heurística é proposta utilizando-se da técnica de biased-randomization para a versão determinística do problema. Então, esta heurística é extendida para uma metaheurística a partir do encapsulamento dentro da estrutura de um variable neighborhood descend. Finalmente, a metaheurística é extendida para uma simheurística a partir da incorporação da simulação de Monte Carlo. De acordo com os experimentos computacionais, o nível de incerteza tem um impacto direto nas soluções geradas pela simheurística. Além disso, análise de risco foram desenvolvidas utilizando as conhecidas métricas de risco: value at risk e conditional value at risk. / [en] This master s thesis analyzes the Permutation Flow-shop Scheduling Problem with Delivery Dates and Cumulative Payoffs under uncertainty conditions. In particular, the work considers the realistic situation in which processing times and release dates are stochastics. The main goal is to solve this Permutation Flow-shop problem in the stochastic environment and analyze the relationship between different levels of uncertainty and the expected payoff. In order to achieve this goal, first a biased-randomized heuristic is proposed for the deterministic version of the problem. Then, this heuristic is extended into a metaheuristic by encapsulating it into a variable neighborhood descent framework. Finally, the metaheuristic is extended into a simheuristic by incorporating Monte Carlo simulation. According to the computational experiments, the level of uncertainty has a direct impact on the solutions provided by the simheuristic. Moreover, a risk analysis is performed using two well-known metrics: the value at risk and the conditional value at risk.