N parallel queueing systems with server breakdown and repair

Article Abstract:

The influence of machine failures and limited repair capacity on the continuous operation of single-server systems is investigated. A queueing model is derived to characterize an N-station system serving many customers which is serviced by a joint repair facility with a crew of K parallel repairmen. The problem pertains to the inter-stations flow of transactions whenever K < N. To solve this, a matrix-geometric solution and an approximation of the distribution of the queue length at a single station is presented.

Queuing theory

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A Bayesian failure model based on isotropic deterioration

Article Abstract:

A model for predicting the failure of hydraulic structures is derived from observed degradation characteristics over a time period. The model employs a Bayesian approach in that it calculates the average deterioration for a fixed unit of time based on a prior density. This allows the probabilities of preventive repair and failure to be expressed as a function of the average deterioration. The model is applied in computing the lifetime probability function of the Netherlands' Eastern Scheldt Storm-Surge Barrier.

Bayesian statistical decision theory, Bayesian analysis, Maintenance and repair, Hydraulic structures, System failures (Engineering), Structural failures, Failure time data analysis

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Optimal repairman assignment in two symmetric maintenance models

Article Abstract:

The problem of scheduling repairs of faulty components is addressed using two maintenance models, a warm standby model and a cold one. Both have the same number of parallel groups of identical parts with exponentially distributed times to failure. To obtain optimal repairman assignment, it is demonstrated that the repairman should be assigned to the faulty component in the group with the least number of functioning parts.

Operations research, Management science, Dynamic programming

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