We consider a k-out-of-N reliability system with identical components having exponential lifetimes. There is a single repairman who attends to failed components on a firstcome first-served basis. The repair times are assumed to be of phase type. The system has K spares that can be used according to a probabilistic rule to extend the lifetime of the system. The system is analyzed using Markov ch...

The goal of the Machine Learning and Traveling Repairman Problem (ML&TRP) is to determine a route for a “repair crew,” which repairs nodes on a graph. The repair crew aims to minimize the cost of failures at the nodes, but the failure probabilities are not known and must be estimated. If there is uncertainty in the failure probability estimates, we take this uncertainty into account in an unusu...

Given a complete directed graph G = (V,E), the traveling repairman problem consists of determining a Hamiltonian circuit minimizing the sum of the waiting times of customers located at the nodes of the graph. In this paper, we propose two new linear integer formulations for TRP and computationally evaluate the strength of their linear programming relaxations. Computational results show the effi...

We consider a basic multiple cold standby system attended by a single repairman. The system satisfies the usual conditions (i.i.d. random variables, perfect repair, instantaneous and perfect switch, queueing). We analyse the long-run availability of the system based on a functional equation valid in the complex plane. The solution is constructed by means of a Cauchy-type integral. As an example...

The goal of the Machine Learning and Traveling Repairman Problem (ML&TRP) is to determine a route for a “repair crew,” which repairs nodes on a graph. The repair crew aims to minimize the cost of failures at the nodes, but as in many real situations, the failure probabilities are not known and must be estimated. If there is uncertainty in the failure probability estimates, we take this uncertai...

In this work, measures are being developed to reduce the noise level at workplace of a mechanic-repairman replace filter cloth. Based on results production control and thorough assessment working conditions, source was determined be VDN-17 fan. The analysis Russian foreign studies in field negative impact human health methods dealing with industrial has been carried out. As result, technical me...