On the Application of the Open Jackson Queuing Network

In real life, waiting for service is a common phenomenon. As a system gets congested, service delay is inevitable; as the service delay increases, waiting time in the queue gets longer. In a typical hospital, the network is made up of various departments (nodes). In this study we considered the inflow and outflow of an hospital network; this is depicted in the schematic diagram. For an efficient hospital planning, a good patient flow means that patient queuing time is minimized, while poor patient flow means the patient suffer considerable queuing delays. This paper presents the results of a study carried out in a University Hospital Centre; the queuing model adopted used the Open Jackson Queuing Network to minimize the waiting times in the queues. The data collection was done for a period of two weeks, with a week interval in order to observe the system for any anomaly. For each node, the number of arrivals and departures together with the service times were recorded at an interval of five minutes. The study showed that for a good hospital planning, the more the personnel (servers) are made to focus on their assignments, the lesser the time the patients will spend on the queue and this leads to more efficient patient flo

On the Application of Martingale theory to Investment Strategy

Most often than not, an investor holding stock must decide whether to sell or keep holding the stock. This investment strategy over the years appears to be an easy task to take. In the investment parlance, it is called the Broker’s Common Sense (BCS). We have shown in this paper that the so-called BCS strategy is backed with advanced mathematical (probabilistic) phenomenon; we used the martingale theory to describe the strateg

Comparison Homotopy Perturbation and Adomian Decomposition Techniques for Parabolic Equations

This paper compares homotopy perturbation and Adomian decomposition techniques for the solution of parabolic equations. Some examples are considered to illustrate the techniques. The results reveal that the two techniques gave closed form of solution and as such considered most suitable for solving heat flow problems

On the Motivations and Challenges Faced by Commuters Using Bus Rapid Transit in Lagos, Nigeria

There are no much sex differences in the distribution of challenges faced by commuters using Bus Rapid Transit (BRT) as observed from this smvey. Internal consistencies tests showed that the responses are randomized. Price charged, non-availability of buses and security in the buses are parammmt challenges faced by the commuters. The moderation results showed that the commuters' satisfaction in patronizing the BRT are mostly affected by security of the buses, reduced commuting time, attitude of the staffs, the attitude of the staff as seen in the behavior of the drivers, the prices charged as it affect the income of the commuters and the present available routes. Adequate security at the buses and bus stops, availability of more buses, do\Vllward review of the prices charged and increase in the available routes are some recommendations that can help to address the challenges faced by commuters using BRT especially as a means of conveying them to their workplaces

Finite Difference Method and Laplace Transform for Boundary Value Problems

This article presents the solution of boundary value problems using finite difference scheme and Laplace transform method. Some examples are solved to illustrate the methods; Laplace transforms gives a closed form solution while in finite difference scheme the extended interval enhances the convergence of the solutio

Correspondence Analysis of the Global Epidemiology of Cutaneous and Visceral Leishmaniasis

Cutaneous leishmaniasis is mostly prevalent in the western and central Asia, North Africa, Southeastern Europe, Central and South America while visceral leishmaniasis is most prevalent in Central, South and Western Asia, the Mediterranean countries, East Africa, Southeastern Europe and South America. Result from the correspondence analysis showed that the number of reported cases of cutaneous leishmaniasis is increasing moderately while visceral leishmaniasis is increasing slightly. The plots showed that countries that are clustered together have similar trend while isolated countries have irregular trend.Correspondence analysis has helped to reveal many hidden patterns of the data and the models are significant even with though the model was able to explain small amount of variation of the data. The research concluded with some suggested policy statements and recommendatio

Classes of Ordinary Differential Equations Obtained for the Probability Functions of Frĕchet Distribution

In this paper, the differential calculus was used to obtain some classes of ordinary differential equations (ODE) for the probability density function, quantile function, survival function, inverse survival function, hazard function and reversed hazard function of the Frĕchet distribution. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distribution. Solutions of these ODEs by using numerous available methods are a new ways of understanding the nature of the probability functions that characterize the distribution. The method can be extended to other probability distributions and can serve an alternative to approximation

Classes of Ordinary Differential Equations Obtained for the Probability Functions of Frĕchet Distribution

In this paper, the differential calculus was used to obtain some classes of ordinary differential equations (ODE) for the probability density function, quantile function, survival function, inverse survival function, hazard function and reversed hazard function of the Frĕchet distribution. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distribution. Solutions of these ODEs by using numerous available methods are a new ways of understanding the nature of the probability functions that characterize the distribution. The method can be extended to other probability distributions and can serve an alternative to approximation

Classes of Ordinary Differential Equations Obtained for the Probability Functions of Cauchy, Standard Cauchy and Log-Cauchy Distributions

In this paper, the differential calculus was used to obtain some classes of ordinary differential equations (ODE) for the probability density function, quantile function, survival function and hazard function of Cauchy, standard Cauchy and log-Cauchy distributions. The distributions are related by logarithmic transformation. The ODEs for the inverse survival function and reversed hazard functions of the distributions were not considered because of their nature and complexity. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distributions. Solutions of these ODEs by using numerous available methods are a new ways of understanding the nature of the probability functions that characterize the distributio

Classes of Ordinary Differential Equations Obtained for the Probability Functions of Half-Cauchy and Power Cauchy Distributions

In this paper, the differential calculus (product rule) was used to obtain some classes of ordinary differential equations (ODE) for the probability density function, quantile function, survival function, inverse survival function, hazard function and reversed hazard function of the half-Cauchy and power Cauchy distributions. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distributions. Solutions of these ODEs by using numerous available methods are new ways of understanding the nature of the probability functions that characterize the distributions. The method can be extended to other probability distributions and can serve an alternative to approximation especially the cases of the quantile and inverse survival function