7149127
Optimal multiplexing of heterogeneous traffic with hard constraint
Considered are optimal dynamic policies for multiplexing &Kgr; + 1 heterogeneous traffic types onto a single communication channel. The packet types arrive to the channel according to independent Poisson processes. The service requirements are exponential with type dependent means. The optimization criterion is to minimize a linear combination of the average delays for packet types 1 to &Kgr;, while simultaneously subjecting the average delay of type-0 packets to a hard constraint. The optimal multiplexing policy is shown to be a randomized modification of the “μc rule”. The optimization problem is thereby reduced to a problem of finding the optimal randomization factor; an algorithm, which can be implemented in real time, is given to do this for two particular cases.
15937667
A dynamic programming methodology for managing prerecorded VBR sources in packet-switched networks
Broadband networks will increasingly carry prerecorded traffic, such as high-fidelity audio, short multimedia clips, and full-length movies. We study how to manage the transmission and transport of traffic from prerecorded VBR sources so that network resources are efficiently utilized and end users receive satisfactory service. Specifically, we study Piecewise Constant-Rate Transmission and Transport (PCRTT), whereby the server transmits and the network transports each connection's packets at different constant rates over a small number of intervals. We show how Dynamic Programming (DP) can be applied to find optimal PCRTT rates and intervals for a wide variety of optimization criteria, including criteria which explicitly account for delays to user interaction (pause, fast forward, and rewind). We also introduce two admission policies for PCRTT: peak-rate admission and packing admission. For peak-rate admission, for each video the network allocates an end-to-end CBR connection; the rate of the CBR connection is equal to the maximum PCRTT rate. For packing admission, for each video the network reserves a series of CBR connections of different rates over specific time intervals. Using public domain MPEG traces, we present several numerical examples which illustrate the traffic management schemes and the DP methodology.
32291503
On Nonblocking Multirate Interconnection Networks
In a recent paper, Melen and Turner [SIAM J. Comput., 18 (1989), pp. 301–313] determined sufficient conditions for multirate interconnection networks to be strictly nonblocking and rearrangeable. They considered the continuous bandwidth case, which permits the bandwidth of a connection to take an arbitrary value in a given closed interval. In this paper, simple necessary and sufficient conditions for multirate interconnection networks to be strictly nonblocking for both discrete and continuous bandwidth cases are determined. New results for rearrangeable multirate networks with discrete bandwidth requirements are also given.
31310473
Packet multiplexers with adversarial regulated traffic
We consider a finite-buffer packet multiplexer to which traffic arrives from several independent sources. The traffic from each of the sources is regulated, i.e., the amount of traffic that can enter the multiplexer is constrained by known regulator constraints. The regulator constraints depend on, the source and are more general than those resulting from cascaded leaky buckets. We assume that the traffic is adversarial to the extent permitted by the regulators. For lossless multiplexing, we show that if the original multiplexer is lossless it is possible to allocate bandwidth and buffer to the sources so that the resulting segregated systems are lossless. For lossy multiplexing, we use our results for lossless multiplexing to estimate the loss probability of the multiplexer. Our estimate involves transforming the original system into two independent resource systems, and using adversarial sources for the two independent resources to obtain a bound on the loss probabilities for the transformed system. We show that the adversarial sources are not extremal on-off sources, even when the regulator consists of a peak rate controller in series with a leaky bucket. We explicitly characterize the form of the adversarial source for the transformed problem. We also provide numerical results for the case of the simple regulator.
6975415
Distributing Layered Encoded Video through Caches
The efficient distribution of stored information has become a major concern in the Internet which has increasingly become a vehicle for the transport of stored video. Because of the highly heterogeneous access to the Internet, researchers and engineers have argued for layered encoded video. We investigate delivering layered encoded video using caches. Based on the stochastic knapsack theory, we develop a model for the layered video caching problem. We propose heuristics to determine which videos and which layers in the videos should be cached in order to maximize the revenue from the streaming service. We evaluate the performance of our heuristics through extensive numerical experiments. We find that, for typical scenarios, the revenue increases nearly logarithmically with the cache size and linearly with the link bandwidth that connects the cache to the origin servers. We also consider service models with request queuing and negotiations about the delivered stream quality and find that both extensions provide only small revenue increases.
18166886
On Routing in ATM Networks
Alternative routing of calls has long been acknowledged as a means of increasing call throughput and robustness in the telephone network. Given these performance gains, it is natural to consider dynamic routing of Virtual Circuits (VCs) in Asynchronous Transfer Mode (ATM) networks. Unlike telephone networks, VCs have heterogeneous bandwidth characteristics and Quality of Service requirements that the routing algorithm must take into account in order to optimize performance. In this paper we attempt to classify ATM networks according to the network characteristics that have the greatest bearing on the performance of dynamic routing algorithms; we also discuss appropriate routing algorithms for diierent classes of ATM network. The classiication is based on the degree of heterogeneity of the sources and the degree of statistical multiplexing.
206043136
Faster Joins, Self-Joins and Multi-Way Joins Using Join Indices
We propose a new algorithm, called Stripe-join, for performing a join given a join index. Stripe-join is inspired by an algorithm called \Jive-join" developed by Li and Ross. Stripe-join makes a single sequential pass through each input relation, in addition to one pass through the join index and two passes through a set of temporary les that contain tuple identiiers but no input tuples. Stripe-join performs this eeciently even when the input relations are much larger than main memory, as long as the number of blocks in main memory is of the order of the square root of the number of blocks in the participating relations. Stripe-join is particularly eecient for self-joins. To our knowledge, Stripe-join is the rst algorithm that, given a join index and a relation signiicantly larger than main memory, can perform a self-join with just a single pass over the input relation and without storing input tuples in intermediate les. Almost all the I/O is sequential, thus minimizing the impact of seek and rotational latency. The algorithm is resistant to data skew. It can also join multiple relations while still making only a single pass over each input relation. Using a detailed cost model, Stripe-join is analyzed and compared with competing algorithms. For large input relations, Stripe-join performs signiicantly better than Valduriez's algorithm and hash join algorithms. We demonstrate circumstances under which Stripe-join performs signiicantly better than Jive-join. Unlike Jive-join, Stripe-join makes no assumptions about the order of the join index.
19447750
Local search scheduling algorithms for maximal throughput in packet switches
We consider the (generalized) packet switch scheduling problem, where the switch service configuration has to be dynamically chosen based on observed queue backlogs, so as to maximize the throughput. A class of recently developed 'projective' scheduling algorithms, which substantially generalize the well-known maximum weight matching (MWM) algorithms for crossbar switches, are explored from the perspective of complexity. The typically huge number of possible switch configurations that the scheduler has to consider in each timeslot has been previously observed to lead to an impractical computational requirement. We introduce a new class of projective schedules based on 'local search' concepts. In particular, rather than searching the entire (typically huge) set of available service configurations to find the best one, the new scalable scheduling algorithms search 'locally' over a small neighborhood of service configurations to find a 'better' one in each time slot. We show that local projective scheduling algorithms can provide dramatic reduction in complexity without causing any loss of throughput (although they may observe higher delay). We explore the nature and structure of such schedules, which show a much higher promise for practical implementation than their global versions.
16559893
A Syntactic Stratification Condition Using Constraints
Stratiication conditions for logic programs aim to ensure a two-valued semantics by restricting the class of allowable programs. Previous stratiication conditions suuer from one of two problems. Some (such as modular stratiication and weak stratiication) are semantic, and cannot be recognized without examining the facts in addition to the rules of the program. Others (such as stratiication and local stratii-cation) are syntactic, but do not allow a number of useful examples. A nonsemantic version of modular stratiication, i.e., whether a program is modularly stratiied for all extensional databases, is shown to be undecidable. We propose a condition that generalizes local stratiication, that ensures a two-valued well-founded model, and that can be syntactically determined from the rules and some constraints on the facts in the program. We call this condition \Universal Constraint Stratiication." While not every modularly stratiied program is universally constraint stratiied, all of the well-known practical examples of modularly stratiied programs are universally constraint stratiied under appropriate natural constraints. In addition, there exist universally constraint stratiied programs that are not modularly stratiied.
2792911
The New Jersey Data Reduction Report
An arrangement is shown for controlling transmission of blocks of information to and from a plurality of major components of a digital computer system interconnected by common buses. The disclosed arrangement operates so that any component of the system may normally seize, on a nonpriority basis, one of the buses at the beginning of any time slot defined by two successive clock pulses generated by a single source and applied to all components simultaneously; however, if a special instruction is encountered during execution of a program, any component may retain a bus for more than one time slot. The disclosed arrangement also permits error checking of transmitted information from a given major component without interfering with transmission from any other major component and automatically causes retransmission of any block of information found to be improperly transmitted originally. Still further, the disclosed arrangement permits buses to be dedicated during execution of a program or, if desired, any complete major component to be replaced without affecting any other major component.
15587034
Packet Scheduling Across Networks of Switches
Recent developments in computer and communication networks require scheduling decisions to be made under increasingly complex system dynamics. We model and analyze the problem of packet transmissions through an arbitrary network of buffered queues, and provide a framework for describing routing and migration. This paper introduces an intuitive geometric description of stability for these networks and describes some simple algorithms which lead to maximal throughput. We show how coordination over sequential timeslots by algorithms such as those based on a round robin can provide considerable advantages over a randomized scheme.