For each quasi-equilibrium, the prices "nearly clear" the markets for the original economy: an upper bound on the distance between the set of equilibria of the "convexified" economy and the set of quasi-equilibria of the original economy followed from Starr's corollary to the Shapley Folkman theorem.
This article presents an original analytical expression for an upper bound on the optimum joint decoding capacity of Wyner circular Gaussian cellular multiple access channel (C-GCMAC) for uniformly distributed mobile terminals (MTs).
Figure 1 The lower bound and upper bound.
While this is appropriate for integer data columns, for real data columns the value of upper bound in the original group method was somewhere between the value in last included row and the following row.
Correspondingly, we could obtain the lower bound and upper bound for the original system.
yields an upper bound on the original optimization problem (P1) and is called the dual problem of (P1).
As this transformation may lead to locally very large slip values, we constrained its upper bound by the maximum of the original model.
This way, we can, in principle, obtain better results than the above upper bound, and possibly even better results than for the original language.
We will compare the proposed method to the original methods in [5] (the original method 1 considers the same optimization problem as our method, while the original method 2 considers a new optimization problem which includes an additional capacity upper bound for each MS) and the max-min method in [6].
Additionally, we use cases in which alignment quality is significantly better in the original tissue alignment, both in terms of sequence and topology, to quantify an upper bound on the alignment p-values.
Munsky and Khammash [ 3] have also derived an upper bound on the error between the solution P t) computed via the FSP, and the solution of the original CME p(t x) on Ω.
