Optimal control of a large dam

A large dam model is an object of study of this paper. The parameters $L^{lower}$ and $L^{upper}$ are its lower and upper levels, $L=L^{upper}-L^{lower}$ is large, and if a current level of water is between these bounds, then the dam is assumed to be in normal state. Passage one or other bound leads to damage. Let $J_1$ $(J_2)$ denote the damage cost of crossing the lower (upper) level. It is assumed that input stream of water is described by a Poisson process, while the output stream is state-dependent (the exact formulation of the problem is given in the paper). Let $L_t$ denote the dam level at time $t$, and let $p_1=\lim_{t\to\infty}\mathbf{P}\{L_t= L^{lower}\}$, $p_2=\lim_{t\to\infty}\mathbf{P}\{L_t> L^{upper}\}$ exist. The long-run average cost $J=p_1J_1+p_2J_2$ is a performance measure. The aim of the paper is to choose the parameter of output stream (exactly specified in the paper) minimizing $J$.Comment: To appear in "Journal of Applied Probability" 44 (2007), No.

The effective bandwidth problem revisited

The paper studies a single-server queueing system with autonomous service and $\ell$ priority classes. Arrival and departure processes are governed by marked point processes. There are $\ell$ buffers corresponding to priority classes, and upon arrival a unit of the $k$th priority class occupies a place in the $k$th buffer. Let $N^{(k)}$, $k=1,2,...,\ell$ denote the quota for the total $k$th buffer content. The values $N^{(k)}$ are assumed to be large, and queueing systems both with finite and infinite buffers are studied. In the case of a system with finite buffers, the values $N^{(k)}$ characterize buffer capacities. The paper discusses a circle of problems related to optimization of performance measures associated with overflowing the quota of buffer contents in particular buffers models. Our approach to this problem is new, and the presentation of our results is simple and clear for real applications.Comment: 29 pages, 11pt, Final version, that will be published as is in Stochastic Model

Productive and reproductive characteristics of hens in the parent flock when including sprouted barley in the diet

This research aimed to study the productive and reproductive qualities of parent herd hens having the diet with sprouted barley in whole grain and crushed form. The objectives included studying the flock liveability and analysing productive and reproductive characteristics of laying hens in the Ross 308 parent flock. The first control group received a diet with unsprouted whole barley, the second control group with unsprouted crushed barley, the first experimental group with sprouted whole barley, the second experimental group with sprouted crushed barley. The scientific and economic experience lasted until the bird reached the age of 60 weeks. The research findings showed that sprouted crushed barley in the diet of the parent flock hens contributes to better poultry growth and development, increases the weight of incubation eggs by an average of 0.3%, the yield of incubation eggs by 0.5%, hatchability by 0.3%, hatchability of young birds by 0.2%, enlarges the poultry liveability, egg production indicators per an initial and an average laying hen, reduces the feed conversion rate

Slaughter qualities and by-product yield in Limousin bull calves of different genotypes

The study aimed to provide a comparative analysis of post- slaughter performance and by-product yield obtained from purebred Limousin bull calves of different genotypes. The purposes of the study were to fatten bull calves, offspring of mothers of different origin, as well as carcasses and by-products obtained as a result of their control slaughter. The bull calves were raised according to the technology of beef cattle breeding with elements of resource saving. The control slaughter of the bull calves was carried out when they reached the required meat condition at the age of 18 months. In the course of the research, it was established that the bull calves obtained from mothers of French selection significantly exceeded (p˂0.01) the peers obtained from mothers of Australian origin in live pre- slaughter weight of 34.6 kg (6.5%), in carcass weight of 30.8 kg (9.8%); in slaughter weight of 30,6 kg (9.4%). Bulls derived from local selection mothers had significantly (p˂0.05) higher slaughter weight by 16.3 kg (4.4%) compared to peers whose mothers were of Australian origin. Significant differences between groups in weight and yield of byproducts were not revealed; however, there was a tendency to increase the weight of organs in the groups of animals with high preslaughter live weight (bull calves of the first and third experimental groups). Based on the obtained data, it can be assumed that breeding of the ancestors of the studied animals for a long period of time under conditions of different breeding, housing and feeding technologies influences the meat qualities of carcasses obtained by their offspring, Limousin bull calves, which are descendants of mothers of different origin

Nutritional and energy value of muscle tissue of Limousine bulls of different genotypes

The article presents the results of a comparative study of the nutritional and energy value of beef obtained from bull calves of different genotypes. The aim of the study was to evaluate the nutritional and energy value of beef obtained from Limousin bulls of different genotypes. The research objects were half carcasses obtained as a result of control slaughter of Limousin breed bull calves, descendants of mothers of different origin, bred in the Kuyurgazinsky district of the Republic of Bashkortostan in the "Meat Union of Bashkir producers" Ltd. The bull calves were raised according to the cow-calf system, weaning from mothers was carried out at the age of 8 months before stabling, then growing up, the first and second periods of fattening were carried out. Control slaughter of bull calves was carried out when they reached the required meat condition at the age of 18 months. In the course of the studies of dry matter, protein, extracted fat and energy value of carcass muscle tissue, a significant increase in the dry matter, protein, extracted fat, and energy content was observed (p≤0.05) 8.8kg higher performance of bull calves with mothers of French origin compared to carcasses of bull calves from mothers of Australian origin (11.8%), at 5.3kg (12.8%), at 3.1 kg (10.1%) and at 248.6 MJ (12.8%) accordingly. Based on the data obtained, it can be assumed that the breeding of animals for a long period of time under conditions of different housing and feeding technologies influences the chemical composition characteristics and the energy value of the meat of the representatives of the Limousin cattle breed studied

First and higher order uniform dual ergodic theorems for dynamical systems with infinite measure

We generalize the proof of Karamata’s Theorem by the method of approximation by polynomials to the operator case. As a consequence, we offer a simple proof of uniform dual ergodicity for a very large class of dynamical systems with infinite measure, and we obtain bounds on the convergence rate. In many cases of interest, including the Pomeau-Manneville family of intermittency maps, the estimates obtained through real Tauberian remainder theory are very weak. Building on the techniques of complex Tauberian remainder theory, we develop a method that provides second (and higher) order asymptotics. In the process, we derive a higher order Tauberian theorem for scalar power series which, to our knowledge, has not previously been covered