Multiserver Queue Storage Requirements With Unpacked Messages

This paper presents a complete statistical characterization of the equilibrium storage requirements for a multiserver queue handling messages with exponential length and service time requirements. The distinguishing feature of the model presented here is that messages are assumed to be stored in unpacked form in finite-size buffers. The model approximates situations frequently encountered in communication network design. The optimum data field size per buffer to result in minimum total storage requirements when considering variable message lengths and buffer overhead is noted and an expression for the buffer utilization is derived.