Table 1 Basic notations

L

Total number of embedded layers in a video stream.

S _l

Number of source symbols per layer.

M

Total number of client classes.

N _l

Number of encoded symbols per layer.

N _max

Maximum amount of encoded symbols.

h _m

Highest video layer that clients in class m can potentially

decode.

0≤δ≤1

Reception coefficient (RC) for a client.

f _m (δ)/F _m (δ)

RC probability distribution / cumulative distribution for

class m.

π _m

Prior probability for class m clients.

\(P_{\text {out}}^{l}\)

Outage probability constraint for layer l.

P(S,N,δ)

Outage probability.

Ω

Media server bandwidth (bit/s).

B

Size of the encoded symbols (bits).

T _seg

Duration of each video segment (s).

R _l

Cumulative source rate up to layer l (bit/s).

\(\mathcal {U}_{m}(R)\)

Utility-rate function of class m.

α _m,l

Incremental utility of layer l for a client in class m.

U _m

Total utility for class m.

NMOS

Normalized mean opinion score.

\(\mathcal {I}(x)\)

\( \left \{\begin {array}{ll} {1, \text {If } x \text { is true,}}\\ {0, \text {otherwise.}} \end {array} \right. \)