{'fraction_non_alphanumeric': 0.014613778705636743, 'fraction_numerical': 0.0, 'mean_word_length': 5.3509933774834435, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Transient Analysis of Single Machine Production Line Dynamics

The importance of studying the system's transient behaviors is evident through its practical and theoretical applications. In this paper, a discrete material flow production process which consists of a single station with station break down is considered. Efficient approximations are proposed to determine the first and second order transient performance measures o f a production line which can be in one of the two states: up (working) or down (failed). The method is based on modeling the production line by an alternating renewal process which enables generalization from exponential time to failures and time to repairs to a general case when uptimes and downtimes have both arbitrary distributions. A due date performance measure is derived and discussed. This study also discusses availability analysis in the production line. Numerical examples are provided to illustrate the procedure.