A dual tandem queue with multi-server stations and losses

Abstract

In this paper, a tandem queue consisting of two multi-server stations without buffers is investigated. Customers of two different types arrive to the first station in accordance with MMAP (Marked Markovian Arrival Process). The first type customers are satisfied with service at the first station only while the second type customers should be served successively at both stations. The system is studied in steady state. The stationary distribution of the system is calculated. A number of useful performance measures is derived. Decomposition and optimization problems are discussed.