One-sided Shewhart control charts for monitoring the ratio of two normal variables in short production runs

Monitoring the ratio of two normal random variables plays an important role in several manufacturing environments. In addition, traditional control charts that have been developed for infinite production horizons can not function effectively to detect anomalies short runs. this paper, we tackle problem by proposing one-sided Shewhart-type monitor a finite horizon production. The statistical performance proposed is investigated using truncated average run length as measure order help quality practitioner implement these charts, provided ready-to-use tables limit parameters. An illustrative example from food industry given illustration.