This paper studies a resource allocation problem in a graph, concerning the joint optimization of capacity allocation decisions and object placement decisions, given a single capacity constraint. This problem has applications in internet content distribution and other domains. The solution to the problem comes through a multi-commodity generalization of the single commodity k-median problem. A ...

We apply a novel lexicographic framework for bit allocation to the multiplexing of multiple VBR video streams onto a single CBR channel. In the lexico-graphic framework, the maximum distortion is minimized , then the second highest distortion, and so on, resulting in nearly constant quality. With a suitably constructed multiplexing model, we show that the mul-tiplexing problem reduces to a sing...

This paper proposes a new resource allocation mode based on DEA models and elasticity analysis for a certain kind of resource allocation problems. It takes into account both the relative efficiency and the returns-to-scale of the decision making units. The decision maker can adopt it to comprehensively evaluate the departments’ production capacity and their potential production capacity. At las...

Consider a distribution system consisting of a set of retailers facing a single-period price-dependent demand of a single product. By taking advantage of the risk-pooling effect and the quantity/volume discount provided by suppliers or thirdparty carriers, the retailers may place joint orders and keep inventory at central warehouses before demand realization, and allocate inventory among themse...

For the problem of 5G network planning, a certain number locations should be selected to build new base stations in order solve weak coverage problems existing network. Considering construction cost and some other factors, it is impossible cover all areas so necessary consider business volume give priority with high volume. Aimed at these problems, clustering point data was carried out by using...

We investigate the resource allocation problem for the downlink of a multiple-input multiple-output orthogonal frequency division multiple access (MIMO-OFDMA) system. The sum rate maximization itself cannot cope with fairness among users. Hence, we address this problem in the context of the utility-based resource allocation presented in earlier papers. This resource allocation method allows to ...

The allocation of visual processing capacity is a key topic in studies and theories of visual attention. The load theory of Lavie (1995) proposes that allocation happens in two steps where processing resources are first allocated to task-relevant stimuli and secondly remaining capacity 'spills over' to task-irrelevant distractors. In contrast, the Theory of Visual Attention (TVA) proposed by Bu...

Populations of Allium vineale commonly include individuals with very different allocation patterns to three modes of reproduction: sexual flowers, aerially produced asexual bulbils, and belowground asexual offsets. If selection is currently acting to maintain these different allocation patterns there must be a genetic basis for variation in allocation to these three reproductive modes. In addit...