By integrating the multi-objective optimization theory and the concept of the effective capacity, we have formulated two optimization problems aiming to minimizing both the overall power consumption and the average leased time while fulfilling statistical delay provisioning.
Mathematically, the resource allocation problem of minimizing the overall transmit power and leased time while fulfilling given delay QoS requirements of PU and SU can be formulated as begin{aligned} mathbf{P3:} minlimits_{boldsymbol{p}, t_{s}}quad &mathbb{E} left[ p_{p} + p_{sp} + p_{ss}right],mathbb{E} left[t_{s}right], end{aligned} (30).
Sections 3 and 4 study the optimal resource allocation strategies such that the minimum power and leased time are consumed while fulfilling the statistical delay provisioning, when employing AF and DF relay protocols, respectively.
In this paper, we focus on how to allocate the available power and time between PU and SU so as to minimize both the average sum power and the average leased time, while fulfilling the statistical delay provisioning.
Specifically, by employing multi-objective optimization theory, we model the resource allocation as minimizing both the power consumption of the global network and the leased time to SU simultaneously, while fulfilling the statistical delay QoS constraints of all users.
A threshold-based scheduling scheme is proposed which uses the instantaneous channel gain and buffering time of the individual packets to schedule a group of users simultaneously in order to minimize the average system energy consumption while fulfilling the deadline delay constraint for every packet.
But we ran up against the federal government -- in particular the Federal Emergency Management Agency -- which denied and delayed fulfilling its own legal responsibility to tell the truth.
Those detained women also received inadequate medical care: Officials frequently ignored women's requests for medical attention or delayed fulfilling such requests, "even during health emergencies involving severe bleeding and pain," according to the complaint.
"We will not delay in fulfilling our responsibility to afford every eligible couple, whether same-sex or opposite-sex, the full rights and responsibilities to which they are entitled," Holder said.
"The commission is concerned by the lack of appropriate policies to address the numerous problems of water management and by the delay in fulfilling the requirements of European water legislation".
