This study is focused on the domain of a two-machine robotic cell scheduling problem. Particularly, we propose the first analytical method for minimizing the partial cycle time of such a cell with a PC-based automatic inspection system to make the problem more realistic. It is assumed that parts must be inspected in one of the production machines, and this may result in a rework process. The stochastic nature of the rework process prevents us from applying existing deterministic solution methods for the scheduling problem. This study aims to develop an in-line inspection of identical parts using multiple contact/non-contact sensors. Initially, we present a heuristic method that converts a multiple-sensor inspection system into a single-sensor inspection system. Then, the expected sequence times of two different cycles are derived based on a geometric distribution, and finally the maximum expected throughput is pursued for each individual case.
Current design methods propose that reinforcement loads distribution within reinforced soil slope is affected by slope height instead of slope inclination, which is not supported by the results of field and laboratorial tests. This paper addresses the influence of slope height and inclination on the distribution of reinforcement loads within reinforced soil slopes. Based on centrifuge model test results, finite element numerical models of reinforced soil slopes with different slope heights and inclinations were established. Maximum reinforcement load in each layer was calculated when the factor of safety of each model was 1.3. The influence of slope height and inclination on the distribution of reinforcement loads was analyzed by normalizing reinforcement loads and slope heights. The results show that the computed location and shape of failure surface and factor of safety at slope failure are in agreement with the experimental results. The distribution of reinforcement loads is little influenced by slope height, whereas greatly influenced by slope inclination. With the increase of slope inclination, the location of maximum reinforcement load transfers from the mid height to the bottom of slopes.