We consider the problem of communication over a multiple access channel (MAC) with noiseless feedback. A single-letter characterization of the capacity of this channel is not currently known. Several schemes exist in the literature that provide achievable region expressions involving a number of auxiliary variables. A series of recent results in point-to-point communications with noiseless feed...

Abstract. Muroga [M52] showed how to express the Shannon channel capacity of a discrete channel with noise [S49] as an explicit function of the transition probabilities. His method accommodates channels with any finite number of input symbols, any finite number of output symbols and any transition probability matrix. Silverman [S55] carried out Muroga’s method in the special case of a binary ch...

The Shannon capacity of a graphG is defined as c(G) = supd≥1(α(G )) 1 d , where α(G) is the independence number of G. The Shannon capacity of the cycle C5 on 5 vertices was determined by Lovász in 1979, but the Shannon capacity of a cycle Cp for general odd p remains one of the most notorious open problems in information theory. By prescribing stabilizers for the independent sets in C p and usi...

In power system planning, the growth of renewable energy generation leads to several challenges including reliability due its intermittency and uncertainty. To quantify relatively reliable capacity this generation, credit is usually adopted for long-term planning. This paper proposes an evaluation using stochastic models resource availability. Six types wind, solar PV, small hydro, biomass, bio...