Performance Analysis of Data Traffic in Small Cells Networks with User Mobility

We analyze the impact of inter-cell mobility on data traffic performance in dense networks with small cells. To this end, a multi-class queuing system with impatience is proposed as a generic model that captures mobility through the sojourn time of users in the cell. We provide mathematical proofs for the stability and the regularity of this multi-class queuing system. We then show how the performance of a homogeneous network is amenable to the application of the generic model to a single representative cell. This model is applied to derive the throughput of both mobile and static users, along with the handover probability. Numerical evaluation and simulation results are provided to assess the accuracy of the approach; we show, in particular, that both classes of users benefit from a throughput gain induced by the opportunistic displacement of mobile users among cells

Stochastic cooperative advertising in a manufacturer–retailer decentralized supply channel

This work considers cooperative advertising in a manufacturer-retailer supply chain. While the manufacturer is the Stackelberg leader, the retailer is the follower. Using Sethi model it models the dynamic effect of the manufacturer and retailer's advertising efforts on sale. It uses optimal control technique and stochastic differential game theory to obtain the players' advertising strategies and the long-run value of the awareness share. Further, it models the relationship between the payoffs of both players and the awareness share. The work shows that with the provision of subsidy the retail advertising effort increases while the manufacturer's advertising effort reduces. It further shows that the total channel payoff is higher for subsidised retail advertising. However, the subsidy can only be possible if the rate of growth of the manufacturer's payoff is twice higher than that of the retailer