For, the allocation is strictly fair but inefficient in terms of sum rate.
Our PDCCH resource allocation method strictly follows the calculated scheduling priority in user selection and does not prioritize the users in favorable channel conditions in PDCCH resource allocation.
Assumption 4 (strict equal-material-payoff- monotonicity): The DM′s preference relation on income allocations is strictly monotonic in both payoffs along the ray m = o.
That is, comparing any two income allocations (m, o ) and (m′, o ) in A with the same level of o, (m, o )≻(m ′, o )⇔ m>m ′ and (m, o )~(m′, o )⇔ m = m ′. (strict m-monotonicity): The DM′s preference relation on income allocations is strictly monotonic in the own material payoff.
That is, comparing any two income allocations (m, o ) and (m ′, o ′) in A with m=o and m ′ =o ′, (m, o )≻(m ′, o ′)⇔ m>m ′ and (m, o )~(m ′, o ′)⇔ m=m ′. (strict equal-material-payoff-monotonicity): The DM′s preference relation on income allocations is strictly monotonic in both payoffs along the ray m= o.
12 As shown by Eilenberg (1941) the three parts of Assumption 1 together imply that the DM′s preferences can be summarized by means of a continuous utility or motivational function u(m, o) that assigns a real-valued index to every (m, o)∈ A. Assumption 2 (strict m- monotonicity): The DM′s preference relation on income allocations is strictly monotonic in the own material payoff.
Any allocation strategy, which strictly tries to satisfy the majority of PZ requests, could lead to a conservative, hence, less-profitable situation to reserve all in-house resources, thus renouncing to possible revenue by rejecting AZ request, even when there are free private resources.
Paradoxically, political will declines if funding allocations are based strictly on morbidity and mortality burdens.
Then we propose a binary search-based power allocation algorithm to solve the strictly quasi concave optimization problem.
