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This paper investigates a multi-server Markovian queueing system with an optional service, working vacations of servers and retention of reneged customers. When all the servers are busy, customers may renege from the system with probability  r1  or may remain in the queue with probabilityAfter working vacation completion, the  c  servers return back to regular busy period if there is at least one customer in the system; otherwise, they continue the vacation. The steady-state probabilities of the model are obtained using the matrix geometric method. Numerical investigations with cost model and performance measures are illustrated with tables and graphs.

Retention of impatient customers in a multi-server Markovian queueing system with optional service and working vacations