In this paper, an algorithm is devised to solve a general mathematical problem of optimizing an expected average cost criterion subject to constraints on both 1) instantaneous resource allocation decisions and 2) the long-term average resource allocation requirements. The construction of the algorithm does not require knowledge about the statistics of the underlying process, yet the performance...

Dynamic allocation is a crucial issue when coping with satellite-provided services where many demanding users share a limited bandwidth. This is the case of situation-awareness applications, for example, where several users generate information (possibly multimedia) that must be delivered to a control center through a shared satellite link. In this context, bandwidth allocation should be adapti...

In software testing, fault detection and removal process is one of the key elements for quality assurance of the software. In the last three decades, several software reliability growth models were developed for detection and correction of faults. These models were developed under strictly static assumptions. The main goal of this article is to investigate an optimal resource allocation plan fo...

Parallel and distributed systems may operate in an environment that undergoes unpredictable changes causing certain system performance features to degrade. Such systems need robustness to guarantee limited degradation despite some fluctuations in the behavior of its component parts or environment. This research investigates the robustness of an allocation of resources to tasks in parallel and d...

In recent years, enlargement of the European Union has led to increased interest in the allocation of voting weights to member states with hugely differing population numbers. While the eventually agreed voting scheme lacks any strict mathematical basis, the Polish government suggested a voting scheme based on the Penrose definition of voting power, leading to an allocation of voting weights pr...

In this paper, we review multi-agent collective behavior algorithms in the literature and classify them according to their underlying mathematical structure. For each mathematical technique, we identify the multi-agent coordination tasks it can be applied to, and we analyze its scalability, bandwidth use, and demonstrated maturity. We highlight how versatile techniques such as artificial potent...

A discrete time probabilistic model, for optimal equity allocation and portfolio selection, is formulated so as to apply to (at least) reinsurance. In the context of a company with several portfolios (or subsidiaries), representing both liabilities and assets, it is proved that the model has solutions respecting constraints on ROE’s, ruin probabilities and market shares currently in practical u...

3 Résumé long de la thése en français 5 Introduction 15 1 State of the Art and Mathematical Background 20 1.1 Cooperative Communications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 1.1.1 General Context . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 1.1.2 Cooperative Communications Protocols . . . . . . . . . . . . . . . . . . . . . . . ....

A model of human life-history evolution based on the optimization of resource partition by an individual between its growth, reproduction and survival is used for searching evolutionarily optimal state-dependent strategies of energy allocation under different combinations of the model parameters representing food availability and environmental stresses. Using these strategies, we compute the co...

Background: The aim of this study was to examine the resource allocation among the organs and the leaf morphology of Polygonatum humile. The data were collected from June 2014 to May 2015 in a natural P. humile stand of a temperate forest gap. Results: The dry weight of new rhizome (R0) sharply decreased to the time of new shoot sprouting in next year and was constant for 2 ~ 3 years. However, ...