Wireless Personal Communications

, Volume 83, Issue 1, pp 811–811

# Erratum to: Performance Evaluation of IEEE 802.11 DCF in Single Hop Ad Hoc Networks

• Neeraj Gupta
• Chandra Shekhar Rai
Erratum

## 1 Erratum to: Wireless Pers Commun (2014) 79:2171–2193 DOI 10.1007/s11277-014-1979-5

Equation (27) in the original publication should have read as shown below, including the stationary probability and its specification in an additional Eq. (28).
$$\tau = b_{(0,0)e} \left( {\frac{{q^{2} W_{0} }}{{\left( {1 - p} \right)\left( {1 - q} \right) \left( {1 - \left( {1 - q} \right)^{{W_{0} }} } \right)}} - \frac{{q^{2} \left( {1 - p} \right)}}{(1 - q)}} \right)$$
(27)
Here b(0,0)e is stationary probability of a node such that backoff process is complete and there is no packet available for transmission.
\begin{aligned} \frac{1}{{b_{(0,0)e} }} & = \left( {1 - q} \right) + \frac{{q^{2} W_{0} \left( {W_{0} + 1} \right)}}{{2\left( {1 - q} \right)\left( {1 - \left( {1 - q} \right)^{{W_{o} }} } \right)}} + \frac{{q\left( {W_{0} + 1} \right)\left( {p\left( {1 - q} \right) - q\left( {1 - p} \right)^{2} } \right)}}{{2\left( {1 - q} \right)}} \\ & \quad + \frac{{pq^{2} }}{{2\left( {1 - q} \right)\left( {1 - p} \right)}}\left[ {\frac{{W_{0} }}{{1 - \left( {1 - q} \right)^{{W_{0} }} }} - \left( {1 - p} \right)^{2} } \right]\left[ {\frac{{2W_{0} (1 - p - p\left( {2p} \right)^{m - 1} )}}{1 - 2p} + 1} \right] \\ \end{aligned}
(28)