Details

Autor(en) / Beteiligte

• He, Gang
• Wu, Wenqing
• Zhang, Yuanyuan

Titel

Performance analysis of machine repair system with single working vacation

Ist Teil von

• Communications in statistics. Theory and methods, 2019-11, Vol.48 (22), p.5602-5620

Ort / Verlag

Philadelphia: Taylor & Francis

Erscheinungsjahr

2019

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This paper studies a machine repair problem with repairman's single working vacation in which repairman works with a lower repair rate rather than completely terminating repair during vacation period. Employing Markov process theory and matrix analytical method, various system performance measures are obtained in transient and stationary regimes. Moreover, we deduce the system reliability, the mean time to failure, the repairman's busy period and the waiting time of failed machine by using the probabilistic properties of phase type distribution. Further, some numerical examples are provided. Finally, a cost model is developed to determine the optimum value of operating machines.