From: Admission control policy for adaptive multirate multiservices in cellular systems
Symbol | Explanation |
---|---|
M | The set of all cells in a wireless cellular system |
A i | The set of cells that are adjacent to cell i |
S | The set of multimedia services that are available to mobile users |
s | The multimedia services that are available to mobile users |
| The set of “single mode services” that are not adaptive-rate services |
| The set of “dual mode full-rate services” that are adaptive-rate services, but which have not been adapted |
| The set of “dual mode reduced-rate services” that are adaptive-rate services, and which have been adapted |
| A single media stream of the “dual mode full-rate service” that can be cut into two substreams referred to as descriptions (i.e., “dual mode reduced-rate service”) |
b s | The basic bandwidth unit (BBU) of each service, s |
t s | The connection time, which is the duration of the connection using service type s and an exponentially distributed random variable with mean |
| The residual (i.e., remaining) connection time, which is exponentially distributed with mean |
| The mean of t s |
| The interboundary time, which starts at the moment cell i is entered and that is an exponentially distributed random variable with means |
| The mean of |
| The probability of attempting a handover of service type s from cell i to neighboring cell j |
m i | The occupancy vector for overall services in cell i |
| The number of connections using multimedia service type in cell i |
θ i | The set of all feasible m i vectors |
| The arrival rate of the new connection request for service type s in cell i |
| The probability of being in state m i in the |S|-dimensional birth–death process corresponding to cell i |
C i | The capacity for cell i |
ψ | The threshold of a new connection request |
σ | The threshold of a handover request |
| The policy of not accepting a new user's connection request for service type s in cell i |
| The policy of not accepting a connection request from a handover user for service type t, which is offered to cell i from service type s in its adjacent cell |
| The probability of blocking connection requests for service type s in cell i of new users |
| The probability of dropping connection requests for service type t of handover users, which is offered to cell i from service type s in its adjacent cell |
| The handover rate of service type s, which is offered to cell i from its adjacent cell j |
| The handover rate of service type t, which is offered to cell i from service type s in its adjacent cell j |
| The new call arrival rates after processing the CAC policy function |
| The arrival rates of handover calls that are not adaptive-rate calls after processing the CAC policy function |
| The arrival rates of handover calls that are adaptive-rate call after processing the CAC policy function |