MCPTT KPI 3 End to End Modelling - shariquetelco/Mission-Critical-Communication-5G-KPI GitHub Wiki

Each message is composed of three components: 𝑇_𝐴𝐷 , the access delay, 𝑇_𝑇 the talk time, and 𝑇_𝑀2𝐸 , the M2E latency.

SO the end 2 end overall message transport time is then.

𝑻_(𝒎 =) 𝑻_𝑨𝑫+ 𝑻_𝑻+ 𝑻_𝑴𝟐𝑬

And Overall Session duration

𝑻_𝒔= ∑(𝒊=𝟏)^𝒌▒〖𝑻𝒎,𝒊〗+𝑻(𝒊𝒎, 𝒊)

where 𝑻𝒎,𝒊 and 𝑻𝒊𝒎,𝒊 are the ith message duration and inter-message duration respectively.

Both the talk time and the inter-message duration are modeled as independent exponential random variables