Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

The interval Shapley value of an M/M/1 service system

E C. G., Li Q. L., Li S.

International Journal of Applied Mathematics and Computer Science

2017

Vol. 27, no. 3

549--562

Service systems and their cooperation are one of the most important and hot topics in management and information sciences. To design a reasonable allocation mechanism of service systems is the key issue in the cooperation of service systems. In this paper, we systematically introduce the interval Shapley value as cost allocation of cooperative interval games ,[...] arising from cooperation in a multi-server service system, and provide an explicit expression for the interval Shapley value of cooperative interval games [...]. We construct an interval game [...] of a service system which shares the same value for the grand coalition with the original interval game, by using the characteristic function which is dominated by the function of the original interval game. Finally, we prove that the interval game [...] is concave, which means that the interval Shapley value of the interval game [...] is in the interval core of this interval game, and illustrate this conclusion by using numerical examples.

A scheme of resource allocation and stability for peer-to-peer file-sharing networks

Li S., Sun W., E C. G., Shi L.

International Journal of Applied Mathematics and Computer Science

2016

Vol. 26, no. 3

707--719

Peer-to-peer (P2P) networks offer a cost-effective and easily deployable framework for sharing content. However, P2P file-sharing applications face a fundamental problem of unfairness. Pricing is regarded as an effective way to provide incentives to peers to cooperate. In this paper we propose a pricing scheme to achieve reasonable resource allocation in P2P file-sharing networks, and give an interpretation for the utility maximization problem and its sub-problems from an economic point of view. We also deduce the exact expression of optimal resource allocation for each peer, and confirm it with both simulation and optimization software. In order to realize the optimum in a decentralized architecture, we present a novel price-based algorithm and discuss its stability based on Lyapunov stability theory. Simulation results confirm that the proposed algorithm can attain an optimum within reasonable convergence times.