The Analytical Method of Transient Behavior of the M|M|1|n Queuing System for Piece-Wise Constant Information Flows

2021 ◽  
pp. 167-181
Author(s):  
Konstantin Vytovtov ◽  
Elizaveta Barabanova ◽  
Vladimir Vishnevsky
Keyword(s):  
Analytical Method ◽  
Transient Behavior ◽  
Queuing System ◽  
Information Flows

scholarly journals Transient Behavior of the MAP/M/1/N Queuing System

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2559
Author(s):  
Vladimir Vishnevsky ◽  
Konstantin Vytovtov ◽  
Elizaveta Barabanova ◽  
Olga Semenova
Keyword(s):  
Matrix Method ◽  
Transient Behavior ◽  
Queuing System ◽  
Numerical Calculations ◽  
Stationary Mode ◽  
Kolmogorov Equations ◽  
Transient Mode ◽  
The Matrix ◽  
Number Of Customers

This paper investigates the characteristics of the MAP/M/1/N queuing system in the transient mode. The matrix method for solving the Kolmogorov equations is proposed. This method makes it possible, in general, to obtain the main characteristics of the considered queuing system in a non-stationary mode: the probability of losses, the time of the transient mode, the throughput, and the number of customers in the system at time t. The developed method is illustrated by numerical calculations of the characteristics of the MAP/M/1/3 system in the transient mode.

scholarly journals An Ann Simulation of Single Server with Infinite Capacity Queuing System

2019 ◽  
Vol 8 (12) ◽  
pp. 4067-4071 ◽  
Keyword(s):  
Neural Network ◽  
Artificial Neural Network ◽  
Mathematical Models ◽  
Analytical Method ◽  
Arrival Rate ◽  
Queuing System ◽  
Single Server ◽  
Queuing Models ◽  
Artificial Neural Network Ann ◽  
Number Of Customers

Successful formulation of queuing models depends on arrival rate, nature of waiting in queues, type of service and customer leaving the system depends on type of arrival, nature of service, number of servers deputed, type of queues, number of customers approaching for service in the system and delay. Kendall notations are popularly used for designating the queuing models like M/M/C/E/D. Various mathematical models have been developed to solve the queuing problem analytically. However solving queuing models with power of computers is the new area of research and this work intends to develop single server infinite capacity queuing system using Artificial Neural Network(ANN). The results of simulation are compared with that of analytical method.

Densitometric Identification of Primitive Erythroblasts After Reaction With Diaminobenzidine

1973 ◽  
Vol 31 ◽  
pp. 328-329
Author(s):  
John A. Trotter
Keyword(s):  
Red Blood Cells ◽  
Analytical Method ◽  
Blood Cells ◽  
Guinea Pigs ◽  
Specific Protein ◽  
Visual Examination ◽  
Hemoglobin Synthesis ◽  
Peroxidatic Activity ◽  
Small Density

Hemoglobin is the specific protein of red blood cells. Those cells in which hemoglobin synthesis is initiated are the earliest cells that can presently be considered to be committed to erythropoiesis. In order to identify such early cells electron microscopically, we have made use of the peroxidatic activity of hemoglobin by reacting the marrow of erythropoietically stimulated guinea pigs with diaminobenzidine (DAB). The reaction product appeared as a diffuse and amorphous electron opacity throughout the cytoplasm of reactive cells. The detection of small density increases of such a diffuse nature required an analytical method more sensitive and reliable than the visual examination of micrographs. A procedure was therefore devised for the evaluation of micrographs (negatives) with a densitometer (Weston Photographic Analyzer).

Bulk standards for low-temperature biological x-ray microanalysis

1984 ◽  
Vol 42 ◽  
pp. 282-283
Author(s):  
P. Echlin ◽  
M. McKoon ◽  
E.S. Taylor ◽  
C.E. Thomas ◽  
K.L. Maloney ◽  
...  
Keyword(s):  
Phase Separation ◽  
Low Temperature ◽  
Analytical Method ◽  
Salt Solutions ◽  
Absolute Concentration ◽  
Cooling Process ◽  
X Ray ◽  
The Absolute ◽  
Analytical Procedures ◽  
Electrical Conductors

Although sections of frozen salt solutions have been used as standards for x-ray microanalysis, such solutions are less useful when analysed in the bulk form. They are poor thermal and electrical conductors and severe phase separation occurs during the cooling process. Following a suggestion by Whitecross et al we have made up a series of salt solutions containing a small amount of graphite to improve the sample conductivity. In addition, we have incorporated a polymer to ensure the formation of microcrystalline ice and a consequent homogenity of salt dispersion within the frozen matrix. The mixtures have been used to standardize the analytical procedures applied to frozen hydrated bulk specimens based on the peak/background analytical method and to measure the absolute concentration of elements in developing roots.

The synephrine content of Shiikuwasha (Citrus depressa HAYATA) fruit: Analytical method and change during fruit growth

Planta Medica ◽  
2008 ◽  
Vol 74 (09) ◽  
Author(s):  
K Miyagi ◽  
T Fujise ◽  
N Koga ◽  
K Wada ◽  
M Yano ◽  
...  
Keyword(s):  
Analytical Method ◽  
Fruit Growth ◽  
Citrus Depressa

A novel analytical calculation of magnetic field in the slotted air gap of spoke-type permanent-magnet machines using conformal mapping

2020 ◽  
pp. 1-15
Author(s):  
Jianqi Li ◽  
Yu Zhou ◽  
Jianying Li
Keyword(s):  
Magnetic Field ◽  
Conformal Mapping ◽  
Permanent Magnet ◽  
Flux Density ◽  
Analytical Method ◽  
Electromotive Force ◽  
Analytical Calculation ◽  
Air Gap ◽  
Permanent Magnet Machines ◽  
Peak Value

This paper presented a novel analytical method for calculating magnetic field in the slotted air gap of spoke-type permanent-magnet machines using conformal mapping. Firstly, flux density without slots and complex relative air-gap permeance of slotted air gap are derived from conformal transformation separately. Secondly, they are combined in order to obtain normalized flux density taking account into the slots effect. The finite element (FE) results confirmed the validity of the analytical method for predicting magnetic field and back electromotive force (BEMF) in the slotted air gap of spoke-type permanent-magnet machines. In comparison with FE result, the analytical solution yields higher peak value of cogging torque.

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