A Numerical Approach to the Repairman Problem with Two Different Types of Machine

In this paper we deal with a heterogeneous machine-interference model under the assumption that the priority machines have pre-emptive priority over the ordinary ones. In each group, machines are characterized by exponentially distributed failure and repair times with different rates. The failed mac...

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Veröffentlicht in:The Journal of the Operational Research Society 1989-09, Vol.40 (9), p.797-803
Hauptverfasser: Pósafalvi, A., Sztrik, J.
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Sztrik, J.
description In this paper we deal with a heterogeneous machine-interference model under the assumption that the priority machines have pre-emptive priority over the ordinary ones. In each group, machines are characterized by exponentially distributed failure and repair times with different rates. The failed machines are served by a single repairman according to FIFO discipline. The aim of the paper is to give the steady-state operational characteristics of the system, such as operative utilization, expected busy-period length, machine availability, mean waiting times and average number of failed machines. Finally, numerical examples illustrate the problem in question.
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subjects Applied sciences
Business and Management
Exact sciences and technology
failure time
machine availability
Machinery
Maintenance management
Management
Mathematical models
Operational research and scientific management
Operational research. Management science
Operations research
Operations Research/Decision Theory
operative utilization
Profit per unit
Queuing theory. Traffic theory
repairman problem
Repairs
Theoretical Paper
Theoretical Papers
title A Numerical Approach to the Repairman Problem with Two Different Types of Machine
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