Abstract
The purpose of this study is to analyze the behavior of some industrial systems in light of the cost-free warranty policy. According to this policy, we assume that the repairman is not always present in the system. When the active unit fails, the repairman will be called to visit the system; however, administrative procedures may delay the visit for some time. Once on the system, the repairman first inspects whether the fault is caused by the user or not and whether it is repairable or not. According to product warranty laws, the repairman carries out the repair or replacement of the faulty unit. The failure time, administrative delay time, inspection time, and repair time are assumed taken as a negative exponential distribution. The system model is analyzed by the supplementary variable technique and Laplace transform, as various performance metrics of system efficiency have been obtained. The sensitivity and relative sensitivity analyses for the system parameters have also been performed. Finally, an illustrative example is taken to illustrate the efficiency of the system.
Highlights
In the present time, warranty is a necessary condition for selling many industrial products
In Subsection 5.1, we present how system reliability R(t), mean time to system failure (MTTF), and steady-state availability are impacted by changing the values of the several system parameters
We studied the behavior of the system, which consists of a single-unit operating under a free repair or replacement warranty
Summary
Warranty is a necessary condition for selling many industrial products. If the active unit is down, the technician has to be called to the system, which takes some time to reach the system due to some administrative procedures In such systems, there is a single server that decides whether the error is caused by the user or not, and whether it can be repaired or replaced after the inspection process. (1) e system contains a single active unit for working (2) ere is a single repairer that is not always available with the system to perform repair or replacement and inspection of a failing unit (3) When the active unit failed, the repairman must be called to visit the system that takes some time to come to the system due to some administrative actions (4) As soon as the repairman arrives for the failed unit, he first inspects that appliance and decides whether or not the fault was caused by the user and can be repaired or replaced (5) e cost of repair or replacement for the failed unit during warranty is borne by the manufacturer, provided malfunctions are not due to the users (6) e distributions of all times in the system are negative exponential (7) e system works as new after repair or replacement
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