Maintenance in Single-Server Queues : A Game-Theoretic Approach

Abstract EN

We use antagonistic stochastic games and fluctuation analysis to examine a single-server queue with bulk input and secondary work during server's multiple vacations.

When the buffer contents become exhausted the server leaves the system to perform some diagnostic service of a minimum of L jobs clustered in packets of random sizes (event A).

The server is not supposed to stay longer than T units of time (event B).

The server returns to the system when A or B occurs, whichever comes first.

On the other hand, he may not break service of a packet in a middle even if A or B occurs.

Furthermore, the server waits for batches of customers to arrive if upon his return the queue is still empty.

We obtain a compact and explicit form functional for the queueing process in equilibrium.