The behavior of the scheduler is embedded into the multidimensional PHY layer Markov model through the use of a service-vacation process.
Channel-aware-only schedulers have been embedded in a joint PHY-MAC Markov model by using a service-vacation process to model the scheduling decisions.
Without loss of generality, these probabilities are derived in the following sections for the max-rate and proportional fair algorithms, which, in both cases, can be modeled by a service-vacation process with one-step memory (D = 1).
A D-step memory in the service-vacation process represents the scheduling dependence on D previous decisions and can be used to account for an increased degree of fairness between users.
The max-rate multiuser scheduler was included in the model through a service-vacation process allowing a manageable number of system states irrespective of the number of users sharing the channel.
In this paper, capitalizing on the approach described in[14], a service-vacation process is used to embed the channel-aware scheduling protocol behavior into the AMC/ARQ multidimensional discrete time Markov chain (DTMC) model described in some of our previous contributions[9 12].
In one-step memory service-vacation processes, scheduling decisions only rely on the actual system state, and thus, the state transition probabilities in (2) can be simplified to P i, j u = Pr z ν + 1 u, y ν + 1 u | z ν u, y ν u.
Taking into account that the PHY layer and service-vacation processes are independent, the elements of the S i, j 1 matrices can be written as Pr z ν + 1, y ν + 1 | z ν, y ν = Pr z ν + 1 | z ν, y ν + 1, y ν × Pr y ν + 1 | y ν, the latter term being an element of the PHY layer state transition probability matrix H s 1.
Booking your hotel or campsite is the most important component of your Grand Canyon vacation planning process and will be the "linchpin" around which the rest of your plans will revolve.
Booking your hotel or campsite is the most important component of your Grand Canyon vacation planning process and will be the "linchpin" around which the rest of your plans will revolve., hotels, tours, Las Vegas shows, dinner reservations (necessary at some places), all of it.
The vacation time, retrial process, set up process as well as repair process are assumed to follow exponential distribution.
