Age-Optimal Information Updates in Multihop Networks

The problem of reducing the age-of-information has been extensively studied in the single-hop networks. In this paper, we minimize the age-of-information in general multihop networks. If the packet transmission times over the network links are exponentially distributed, we prove that a preemptive Last Generated First Served (LGFS) policy results in smaller age processes at all nodes of the network (in a stochastic ordering sense) than any other causal policy. In addition, for arbitrary general distributions of packet transmission times, the non-preemptive LGFS policy is shown to minimize the age processes at all nodes of the network among all non-preemptive work-conserving policies (again in a stochastic ordering sense). It is surprising that such simple policies can achieve optimality of the joint distribution of the age processes at all nodes even under arbitrary network topologies, as well as arbitrary packet generation and arrival times. These optimality results not only hold for the age processes, but also for any non-decreasing functional of the age processes.Comment: arXiv admin note: text overlap with arXiv:1603.0618

Delay-Optimal Scheduling for Two-Hop Relay Networks with Randomly Varying Connectivity: Join the Shortest Queue-Longest Connected Queue Policy

We consider a scheduling problem for a two-hop queueing network where the queues have randomly varying connectivity. Customers arrive at the source queue and are later routed to multiple relay queues. A relay queue can be served only if it is in connected state, and the state changes randomly over time. The source queue and relay queues are served in a time-sharing manner; that is, only one customer can be served at any instant. We propose Join the Shortest Queue-Longest Connected Queue (JSQ-LCQ) policy as follows: (1) if there exist nonempty relay queues in connected state, serve the longest queue among them; (2) if there are no relay queues to serve, route a customer from the source queue to the shortest relay queue. For symmetric systems in which the connectivity has symmetric statistics across the relay queues, we show that JSQ-LCQ is strongly optimal, that is, minimizes the delay in the stochastic ordering sense. We use stochastic coupling and show that the systems under coupling exist in two distinct phases, due to dynamic interactions among source and relay queues. By careful construction of coupling in both phases, we establish the stochastic dominance in delay between JSQ-LCQ and any arbitrary policy

Energy and computationally efficient resource allocation methods for cellular relay-aided networks with system stability consideration

The increasing demand for coverage extension and power gain, along with the need for decreasing implementation costs, raised the idea of relaying cellular systems. Developing relay stations as a coverage extension and low cost mechanism has also brought up the challenge of utilizing the available network resources cooperatively between base stations and relays. The topic of resource allocation in the downlink of a relaying cellular system is studied in the current dissertation with the objective of maximizing transmission rate, encompassing system stability and managing the interference as it has not been investigated as a comprehensive allocation problem in the previous literature. We begin our study by modeling a single cell downlink transmission system with the objective to enhance the throughput of cell-edge users by employing decode-and-forward relay stations. We study the queue length evolution at each hop and propose a rate control mechanism to stabilize the considered queues. Accordingly, we propose a novel allocation model which maximizes user throughput with respect to the channel condition and the stability requirements. To solve the proposed allocation problem, we introduced optimization algorithm as well as heuristic approaches which offer low computation complexity. Next, we enhance the initial allocation method by considering a multi-cell system that accounts for more general and practical cellular networks. The multi-cell model embodies extra constraints for controlling the interference to the users of neighboring cells. We propose a different set of stability constraints which do not enquire a priori knowledge of the statistics of the arriving traffic. In an approach to improve the energy efficiency while respecting the stability and interference criteria, we also suggest an energy-conservative allocation scheme. We solve the defined allocation problems in a central controlling system. As our final contribution, we enhance the proposed multi-cell allocation model with a low overhead and distributed approach. The proposed method is based on the idea of dividing the resource allocation task between each base station and its connected relay stations. In addition, the messaging overhead for controlling inter-cell interference is minimized using the reference-station method. This distributed approach offers high degree of energy efficiency as well as more scalability in comparison to centralized schemes, when the system consists of larger number of cells and users. Since the defined problems embody multiple variables and constraints, we develop a framework to cast the joint design in the optimization form which gives rise to nonlinear and nonconvex problems. In this regard, we employ time-sharing technique to tackle the combinatorial format of the allocation problem. In addition, it is important to consider the situation that the time-shared approach is not beneficial when subcarriers are not allowed to be shared during one time-slot. To overcome this obstacle, we apply heuristic algorithms as well as convex optimization techniques to obtain exclusive subcarrier allocation schemes. To evaluate the performance of the proposed solutions, we compare them in terms of the achieved throughput, transmitted power, queue stability, feedback overhead, and computation complexity. By the means of extensive simulation scenarios as well as numerical analysis, we demonstrate the remarkable advantages of the suggested approaches. The results of the present dissertation are appealing for designing of future HetNet systems specifically when the communication latency and the energy consumption are required to be minimized