Title :
On the cusp catastrophe of slotted ALOHA systems with capture and multi-packet reception
Author :
Sakakihara, K. ; Hanaoka, Michiru ; Yuba, Yoshiharu
Author_Institution :
Dept. of Commun. Eng., Okayama Prefectural Univ., Soja, Japan
Abstract :
The stability of slotted ALOHA systems with various types of capture phenomena and multiple packet reception capability is discussed in terms of the cusp catastrophe. The slotted ALOHA systems considered are classified into; (1) single packet reception with geometric capture, (2) independent multiple packet reception with geometric capture, (3) single packet reception with partially-perfect capture, and (4) multiple packet reception with partially-perfect capture. First, general expressions for the cusp points and the bifurcation sets are derived. Then, we present an explicit formula for the stability of slotted ALOHA systems for the four types of capture and multi-packet reception capability and demonstrate how the bistable behavior is mitigated due to capture effect and multi-packet reception capability
Keywords :
Poisson equation; access protocols; approximation theory; binomial distribution; catastrophe theory; packet switching; stability; Poisson approximation; bifurcation sets; binomial distribution; bistable behavior; capture phenomena; cusp catastrophe; cusp points; explicit formula; geometric capture; independent multiple packet reception; multiple packet reception; partially-perfect capture; single packet reception; slotted ALOHA systems stability; Bifurcation; Communication systems; Delay; Genetic expression; Power system modeling; Protocols; Spread spectrum communication; Stability; Stochastic processes; Stochastic systems;
Conference_Titel :
Global Telecommunications Conference, 1998. GLOBECOM 1998. The Bridge to Global Integration. IEEE
Conference_Location :
Sydney,NSW
Print_ISBN :
0-7803-4984-9
DOI :
10.1109/GLOCOM.1998.776639
