5. Impact of Bounded Delay on Resource Consumption-M/D/1 Model

This chapter investigates the impact of bounded delays on throughput in VoIP networks modeled by M/D/1. Chapter 4 modeled the VoIP traffic as an M/M/1 system. Although the M/M/1 system is easier to analyze, the M/D/1 assumption for analyzing VoIP system might be more realistic in some cases. In contrast to contemporary literature that largely focuses on average delay to estimate the Quality of Service, our model focuses on an upper bound of delay, referred to as delay threshold. Traffic that exceeds the delay threshold is treated as lost throughput. The results obtained can be used in scaling resources in a multi-hop network for attaining specified levels of throughput under different thresholds of acceptable delays. Both single-hop and multi-hop transfers are addressed. The theoretical analysis presented in this chapter is further corroborated by simulation. The findings presented in this chapter will be very relevant to multi-hop network applications where received data that are older than a specified threshold period are not relevant and must be discarded. The contents of this chapter have partially been published in [84].