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  • 2000-2004  (3)
  • 1991MR Subject Classification 60J27, 60B10, 34E05, 60F17  (1)
  • Key words Centromere  (1)
  • Key words Singularly perturbed Markov chain, Occupation measure, Aggregation, Absorbing state, Weak convergence, Switching diffusion  (1)
  • hierarchical control  (1)
  • Genetic analysis
  • Hybrid sterility
Source
Material
Years
Year
Keywords
  • 1
    Electronic Resource
    Electronic Resource
    Occupation Measures of Singularly Perturbed Markov Chains with Absorbing States (2000)
    Springer
    Acta mathematica sinica 16 (2000), S. 161-180 
    Details
    ISSN: 1000-9574
    Keywords: Key words Singularly perturbed Markov chain, Occupation measure, Aggregation, Absorbing state, Weak convergence, Switching diffusion ; 1991MR Subject Classification 60J27, 60B10, 34E05, 60F17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper develops asymptotic properties of singularly perturbed Markov chains with inclusion of absorbing states. It focuses on both unscaled and scaled occupation measures. Under mild conditions, a mean-square estimate is obtained. By averaging the fast components, we obtain an aggregated process. Although the aggregated process itself may be non-Markovian, its weak limit is a Markov chain with much smaller state space. Moreover, a suitably scaled sequence consisting of a component of scaled occupation measures and a component of the aggregated process is shown to converge to a pair of processes with a switching diffusion component.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s101140050013
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Mapping of centromeric regions on the molecular linkage map of rice (Oryza sativa L.) using centromere-associated sequences (2000)
    Springer
    Molecular genetics and genomics 263 (2000), S. 165-172 
    Details
    ISSN: 1617-4623
    Keywords: Key words Centromere ; Genetic mapping ; Genome analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Genetic mapping of centromeres has been a challenge for plant geneticists. The objective of this study was to develop a new strategy for determining the locations of centromeric regions on genetic maps by mapping centromere-associated sequences, to make it possible to define the centromeric region of each chromosome as a single Mendelian locus on the molecular linkage map. Two DNA probes containing sequences specifically associated with the centromeres of grass species were used for genetic mapping. The centromere-associated sequences for all 12 rice chromosomes were mapped on the molecular map with either or both of the probes, and flanking molecular markers on one or both sides were localized 0 to 8 cM away. The map locations of the centromere-associated markers corresponded very well with the positions of centromeric regions determined previously using trisomic analyses for 11 of the 12 chromosomes. The precise mapping of the centromeric regions using these probes makes the molecular map a more complete and informative tool for genomic studies, which will facilitate studies of the structure and function of the rice centromeres. The simplicity of this technique, together with the fact that these probes are also associated with the centromeric regions in other grass species, may provide a general approach to the mapping of centromeric regions in the genomes of other cereal crops.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004380050044
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Hierarchical Production Control in Dynamic Stochastic Jobshops with Long-Run Average Cost (2000)
    Springer
    Journal of optimization theory and applications 106 (2000), S. 231-264 
    Details
    ISSN: 1573-2878
    Keywords: hierarchical control ; manufacturing systems ; stochastic dynamic programming ; optimal control ; long-run average cost
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider a production planning problem for a dynamic jobshop producing a number of products and subject to breakdown and repair of machines. The machine capacities are assumed to be finite-state Markov chains. As the rates of change of the machine states approach infinity, an asymptotic analysis of this stochastic manufacturing systems is given. The analysis results in a limiting problem in which the stochastic machine availability is replaced by its equilibrium mean availability. The long-run average cost for the original problem is shown to converge to the long-run average cost of the limiting problem. The convergence rate of the long-run average cost for the original problem to that of the limiting problem together with an error estimate for the constructed asymptotic optimal control is established.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004667028547
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    Paper (German National Licenses)
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