scholarly journals An Improved Parametric Algorithm on Two-Machine Scheduling with Given Lower and Upper Bounds for the Total Processing Time

Author(s):  
Gyorgy Dosa ◽  
Hans Kellerer ◽  
Tomas Olaj ◽  
Zsolt Tuza
1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.


Author(s):  
S. Yahya Mohamed ◽  
A. Mohamed Ali

In this paper, the notion of energy extended to spherical fuzzy graph. The adjacency matrix of a spherical fuzzy graph is defined and we compute the energy of a spherical fuzzy graph as the sum of absolute values of eigenvalues of the adjacency matrix of the spherical fuzzy graph. Also, the lower and upper bounds for the energy of spherical fuzzy graphs are obtained.


Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 940
Author(s):  
Zijing Wang ◽  
Mihai-Alin Badiu ◽  
Justin P. Coon

The age of information (AoI) has been widely used to quantify the information freshness in real-time status update systems. As the AoI is independent of the inherent property of the source data and the context, we introduce a mutual information-based value of information (VoI) framework for hidden Markov models. In this paper, we investigate the VoI and its relationship to the AoI for a noisy Ornstein–Uhlenbeck (OU) process. We explore the effects of correlation and noise on their relationship, and find logarithmic, exponential and linear dependencies between the two in three different regimes. This gives the formal justification for the selection of non-linear AoI functions previously reported in other works. Moreover, we study the statistical properties of the VoI in the example of a queue model, deriving its distribution functions and moments. The lower and upper bounds of the average VoI are also analysed, which can be used for the design and optimisation of freshness-aware networks. Numerical results are presented and further show that, compared with the traditional linear age and some basic non-linear age functions, the proposed VoI framework is more general and suitable for various contexts.


2021 ◽  
Vol 37 (3) ◽  
pp. 919-932
Author(s):  
Byeong Moon Kim ◽  
Byung Chul Song ◽  
Woonjae Hwang

2021 ◽  
pp. 1-7
Author(s):  
Marsali Newman ◽  
Matthew Walsh ◽  
Rosemary Jeffrey ◽  
Richard Hiscock

<b><i>Objective:</i></b> The cell block (CB) is an important adjunct to cytological preparations in diagnostic cytopathology. Optimizing cellular material in the CB is essential to the success of ancillary studies such as immunohistochemistry (IHC) and molecular studies (MS). Our aim was to identify which CB method was most suitable in a variety of specimen types and levels of cellularity. <b><i>Study Design:</i></b> We assessed 4 different CB methods, thrombin clot method (TCM), MD Anderson method (MDAM), gelatin foam method (GFM), and agar method (AM), with descriptive observations and ranking of the methods based on quantity of cells and morphological features. <b><i>Results:</i></b> TCM performed best in ranking for both quantity of cells and morphological features, followed by MDAM, GFM, and AM. Lack of adjuvant in the MDAM resulted in some unique morphological advantages which, however, also resulted in inconsistent performance. In low cellularity cases insufficient cells were frequently identified on slides from MDAM and AM CBs. Technique touch time was similar for all methods, with total processing time being shortest for TCM followed by MDAM, GFM, and AM. <b><i>Conclusions:</i></b> TCM was the most robust CB technique, retaining high scores for ranking of quantity and morphology in a variety of specimen cellularities and specimen types.


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