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An Analytical Solution for Queue: M/D/1 with Balking
Kotb Abdel Hamid Kotb,
Moamer Akhdar
Issue:
Volume 7, Issue 2, April 2018
Pages:
31-39
Received:
17 January 2018
Accepted:
31 January 2018
Published:
27 February 2018
Abstract: In this paper we examine the how to of deriving analytical solution in steady-state for non-truncated single-server queueing and service time are fixed (deterministic) with addition the concept balking, using iterative method and the probability generating function. Some measures of effecting of queuing system are obtained using a smooth and logical manner also some special cases of this system. Finality, some numerical values are given showily the effect of correlation between the (p0, pn, L, Wq) and the additional concepts.
Abstract: In this paper we examine the how to of deriving analytical solution in steady-state for non-truncated single-server queueing and service time are fixed (deterministic) with addition the concept balking, using iterative method and the probability generating function. Some measures of effecting of queuing system are obtained using a smooth and logica...
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Feedback of a Non-Truncated Erlang Queuing System with Balking and Retention of Reneged Customers
Kotb Abdel Hamid Kotb,
Moamer Akhdar
Issue:
Volume 7, Issue 2, April 2018
Pages:
40-49
Received:
17 January 2018
Accepted:
31 January 2018
Published:
27 February 2018
Abstract: The aim of this paper is to derive the analytical solution of the non-truncated single-channel Erlangian queue: M/Ek/1 at the steady-state with adding the concepts of balking, feedback strategy and retention of reneged customers. We obtain the probabilities that there are n customers in the system and the customers in the service occupces stage s, (s = 1, 2, …, k ), the probability of empty system and some measures of effecting of queuing system are obtained using the iterative method. Some important queueing models are derived as special cases of this system. Some numerical values are given showily the effect of correlation between the probabilities and the additional concepts.
Abstract: The aim of this paper is to derive the analytical solution of the non-truncated single-channel Erlangian queue: M/Ek/1 at the steady-state with adding the concepts of balking, feedback strategy and retention of reneged customers. We obtain the probabilities that there are n customers in the system and the customers in the service occupces stage s, ...
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New Explicit Exact Solutions of the One-Dimensional Parabolic-Parabolic Keller-Segel Model
Lihua Zhang,
Lixin Ma,
Fengsheng Xu
Issue:
Volume 7, Issue 2, April 2018
Pages:
50-57
Received:
30 January 2018
Accepted:
11 February 2018
Published:
7 March 2018
Abstract: One-dimensional parabolic-parabolic Keller-Segel (PP-KS) model of chemotaxis is considered. By using the generalized tanh function method, G'(/G)-expansion method and variable-separating method, plenty of new explicit exact solutions, including travelling wave solutions and non-travelling wave solutions, are obtained for the PP-KS model. Compared to the existing results, more new exact solutions are derived and the obtained solutions all have explicit expressions.
Abstract: One-dimensional parabolic-parabolic Keller-Segel (PP-KS) model of chemotaxis is considered. By using the generalized tanh function method, G'(/G)-expansion method and variable-separating method, plenty of new explicit exact solutions, including travelling wave solutions and non-travelling wave solutions, are obtained for the PP-KS model. Compared t...
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Solving Variable-Coefficient Fourth-Order ODEs with Polynomial Nonlinearity by Symmetric Homotopy Method
Abdrhaman Mahmoud,
Bo Yu,
Xuping Zhang
Issue:
Volume 7, Issue 2, April 2018
Pages:
58-70
Received:
4 February 2018
Accepted:
24 February 2018
Published:
22 March 2018
Abstract: In this paper, the eigenfunction expansion method (EEM) is applied to find numerical solutions for variable-coefficient fourth-order ordinary differential equations (ODEs) with polynomial nonlinearity. The symmetry of the solution set for the resulting system of polynomial equations obtained from EEM of the problem is analyzed. The symmetric homotopy method is constructed to calculate all solutions of the discretization system for the problem. Due to the exploitation of symmetry, the number of computations is reduced. Numerical examples are presented to demonstrate the efficiency of the presented homotopy method.
Abstract: In this paper, the eigenfunction expansion method (EEM) is applied to find numerical solutions for variable-coefficient fourth-order ordinary differential equations (ODEs) with polynomial nonlinearity. The symmetry of the solution set for the resulting system of polynomial equations obtained from EEM of the problem is analyzed. The symmetric homoto...
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Modelling Assessment on Causes of Road Accidents Along Kilimanjaro-Arusha Highway in Tanzania
Issue:
Volume 7, Issue 2, April 2018
Pages:
71-74
Received:
15 February 2018
Accepted:
20 March 2018
Published:
15 May 2018
Abstract: This paper aims on assessing the risk factors which are associated to the cause of road accidents in Kilimanjaro-Arusha highway 78.46km. Road accidents have been one of the paramount road cases in Tanzania. However, when ensuring road safety rules in Tanzania, it is important to assess the nature and causes of road accidents in the country. It is also necessary to find out the factors which lead to an obstacle of achieving road safety and regulations. This paper focuses on the assessment of road accidents in Tanzania and the associated factors such as inadequate road signs, inadequate carriageway width, lack of pedestrian facilities and law enforcement are considered to be critical shortcomings. The findings have shown the considerable proportions of accident and its outcomes of death and injuries at various black spot such as Kikavu River 60%, Kikatiti 20%, Nduruma bridge 10%, Kilala slope 5%, and Sadec 5%. Also missing and poor road makings and road signs from CH: 0+200 -22+600 needs to be rectified. In order to reduce road accidents in Kilimanjaro-Arusha section, the Government should rectify black spot areas by considering geometric standard in highway, set aside fund for provision and maintenance of traffic control devices, train road users on traffic laws and regulations, set aside fund for increasing road width with consideration of dual carriage way and climbing lane along mountain Kikavu area to reduce the action of overtaking. This study has revealed the pattern and trends of road accidents in Kilimanjaro-Arusha from 2013 to 2016. It shows that the accident occurrence was showing sign of decreasing from 2015 up to 2016. Passengers and pedestrians are the groups which identified to be always at highest risk of being injured or highly prone to motor traffic accidents. Driving under alcoholic behaviour (drugs, alcohol), distraction, over speed driving, overtaking, poor vehicle parking management and pedestrian fault are among of road user behaviour identified to cause accidents within the stretch.
Abstract: This paper aims on assessing the risk factors which are associated to the cause of road accidents in Kilimanjaro-Arusha highway 78.46km. Road accidents have been one of the paramount road cases in Tanzania. However, when ensuring road safety rules in Tanzania, it is important to assess the nature and causes of road accidents in the country. It is a...
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