 Vacation queuing model for a machining system with two unreliable repairmenMadhu Jain, Chandra Shekhar and Shalini Shukla International Journal of Operational Research, 2014, vol. 20, issue 4, 469-491 Abstract: This investigation is concerned with multi-component machining system having two types of warm standby units and two unreliable heterogeneous repairmen. The life time and repair time of the failed units are exponentially distributed. The first repairman is working according to N (N ≥ 1) policy whereas the second repairman has the privilege of going for a vacation of random length. Both repairmen may also fail while rendering the repair to the failed units either individually or simultaneously. Runge-Kutta method is used to obtain the transient-state probabilities of the system states for which Chapman-Kolmogrov differential equations governing the model are constructed. We have established some indices for the system performance in terms of transient probabilities. The sensitivity analysis is carried out to examine the system efficiency and profitability as per requirements. The numerical results are provided in order to explore the sensitivity of the system descriptors on the performance measures more precisely. Keywords: N policy; machine repair; (M, m) policy; transient probabilities; standby units; heterogeneous repairmen; vacation queuing models; machining systems; machine breakdown; performance measures. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:20:y:2014:i:4:p:469-491 Access Statistics for this article More articles in International Journal of Operational Research from Inderscience Enterprises Ltd |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.