Optimal Operating Policy for the Machine Repair Problem with Two Service Stations.
CONTROL ANALYSIS CORP PALO ALTO CALIF
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Consider a system consisting of m machines operating simultaneously suppose there are n spare machines, and suppose there are two repair stations having s sub 1 and s sub 2 servers respectively. When a machine fails, a spare machine if available, is put into operation, and one of the two repair stations is chosen to repair the failed machine. The repair time of a machine is a random variable whose distribution depends on the repair station chosen to do the repairing. The cost of repair per machine is a constant which is determined by the station performing it. In addition, whenever the number of machines working falls below m, a penalty cost becomes applicable at a rate depending on the shortage. The author is interested in the problem of deciding, at the time of each failure, which station to choose to repair the failed machine in order to minimize the long run average of the total cost. The author shows that an optimal policy exists and may be obtained by solving a certain linear programming problem. Author
- Operations Research
- Manufacturing and Industrial Engineering and Control of Production Systems