关键词: 工作时间, 折合劳动成本, 优化理论, 灵敏度分析

Abstract: Based on the private natural labor rate reproduction and finite labor inventory of workers, this paper deals with the working time problem using economic optimization methods. The negative influence on productivity, which is caused by the inevitable accumulation of fatigue, and the essential breaks for the reproduction of worker's private labor stock, is converted into equivalent labor cost. An equalization optimization model is provided to deal with the problem with a certain time domain. And for the number of periods tends to be infinite under the uncertain time domain scenario that causes a failure of the former model, an extended model is provided to study the optimal working time to achieve the goal of minimizing a convergence limit of the labor cost. Numerical examples based on the above models are given to analyze the impact of parameters on the perform sensitivity of the models. The results show that the labor intensity coefficient and fatigue cost are negative to the optimal working time, and the sensitivities of these two coefficients are equally the highest; the rest cost is positively related to the optimal working time; the impact of the necessary rest time on the work cycle decision depends on the proportion of each cost coefficient, and the sensitivity is the weakest. This study enriches the domain of labor research, and the results can be used to guide the improvement of the practical working system, which are of great significance to addressing the problems of widespread overwork in industrial workers.

Key words: work time optimization, equivalent labor cost, optimization theory, sensitivity analysis