Bounding separable recourse functions with limited distribution information

The recourse function in a stochastic program with recourse can be approximated by separable functions of the original random variables or linear transformations of them. The resulting bound then involves summing simple integrals. These integrals may themselves be difficult to compute or may require more information about the random variables than is available. In this paper, we show that a special class of functions has an easily computable bound that achieves the best upper bound when only first and second moment constraints are available.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/44185/1/10479_2005_Article_BF02204821.pd

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442 hlm.: ill.; 24 cm

Protein utilisation The basis of feeding standards for protein in growing and fattening beef cattle

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Teores de cloretos, lactose e índice cloretos/lactose na secreção láctea de bovinos da raça Jersey no primeiro mês da lactação Chloride and lactose contents and chloride/lactose ratio in milk from Jersey cows in the first month of lactation

Avaliou-se a influência do período colostral nos teores lácteos de cloretos, lactose e do índice cloretos/lactose. Foram colhidas 418 amostras de leite provenientes de glândulas mamárias sadias, e que não apresentavam crescimento bacteriano ao exame microbiológico, de 127 vacas da raça Jersey. As amostras foram distribuídas em oito grupos: 0 &#9508;1/2 dia; 1/2 &#9508;1 dia; 1 &#9508;2 dias; 2 &#9508;3 dias; 3 &#9508;5 dias; 5 &#9508;7 dias; 7 &#9508;15 dias; 15 &#9508;30 dias em lactação. Nas amostras, colhidas antes da ordenha, foram determinados os valores de cloretos, por titulação colorimétrica, e de lactose, por radiação infravermelho, e calculou-se o índice cloretos/lactose. Nas primeiras 24 horas da lactação, observou-se abrupta diminuição no teor lácteo de cloretos e do índice cloretos/lactose, associada com o aumento no teor lácteo de lactose. A transição da secreção de colostro para leite em relação ao teor de cloretos e lactose e ao índice cloretos/lactose na secreção láctea ocorreu na primeira semana da lactação, a partir do terceiro dia da lactação para o valor de cloretos e para a relação cloretos/lactose e a partir do quarto dia da lactação para o teor de lactose. Recomenda-se, nas primeiras 24 horas da lactação, a adoção dos seguintes limites de normalidade: cloretos, <173,4mg/dL; lactose >3,94g/dL e índice cloretos/lactose, <6,11%. Entre o segundo e o sétimo dia da lactação (transição de colostro para leite), indicamse os seguintes limites: cloretos <125,9mg/dL; lactose, >4,03g/dL e índice cloretos/lactose <3,54.<br>In order to assess the influence of the colostral period on chloride and lactose levels and on the chloride/lactose ratio, 419 milk samples from 127 Jersey cows were analyzed. The samples were collected from healthy udders that did not present any bacterial growth in the microbiological examination. Cows were distributed into eight groups as follows: 0 &#9508;1/2 day; 1/2 &#9508;1 day; 1 &#9508;2 days; 2 &#9508;3 days; 3 &#9508;5 days; 5 &#9508;7 days; 7 &#9508;15 days; 15 &#9508;30 days of lactation. The samples were collected before milking to analyze the levels of chloride by colorimetric titration, lactose by infrared radiation, and to determine the chloride/lactose ratio. In the first 24 hours after partition, there was an abrupt reduction in chloride levels as well in chloride/ lactose ratio, associated with an increase in lactose levels. It was observed that the transition of the secretion from colostrum to milk, regarding chloride and lactose levels and chloride/lactose ratio occurred during the first week of lactation: from the 3rd day of lactation for chloride and chloride/lactose ratio and from 4th for the lactose levels. It is recommended the use the following thresholds as normal ranges for the first 24 hours of lactation: chloride <173.4mg/dL; lactose >3.94g/dL, and chloride/lactose ratio <6.11%; and between 2nd and 7th days of lactation (transition from colostrum to milk), it was suggested the use of the following values: chloride <125.9mg/dL; lactose >4.03g/dL and chloride/lactose ratio <3.54