This research work seeks to model the distribution of 50 cl Pepsi soft drink as a transhipment problem. The transshipment problem is an extension of the traditional transportation problem which takes into account a multi-phase transport system in which the flows of goods and services are taken through an intermediate point (transhipment points) between the origin and the destination with varying objective functions. The main focus in this research was to obtain the minimum cost of transporting 10,000 crates of the product from the Benin plant (source) through deports (transshipment points) to the Sapele-Warri region (sinks) where the product is demanded. Data collected were analyzed using TORA Windows Version 2.00 software. The analysis shows that the minimum cost of transporting the product can be achieved if the product is shipped directly from the source to the sink. This forms that basis for the conclusions and recommendations of the research.
This article examines the flexibility of the Zubair-G family of distribution using the Dagum distribution. The proposed distribution is called the Zubair-Dagum distribution. The various mathematical properties of this distribution such as the Quantile function, Moments, Moment generating function, Reliability analysis, Entropy and Order statistics were obtained. The parameter estimates of the proposed distribution were also derived and estimated using the maximum likelihood estimation method. The new distribution is right skewed and has various bathtub and monotonically decreasing shapes. Our numerical illustrations using two real-life datasets substantiate the applicability, flexibility and superiority of the proposed distribution over competing distributions.
In this study, we proposed a generalization of the Pranav distribution by Shukla (2018). This new distribution called an extended Pranav distribution is obtained using the exponentiation method. The statistical characteristics of this new distribution such as the moments, moment generating function, reliability function, hazard function, Rényi entropy and order statistics are derived. The graphical illustrations of the shapes of the probability density function, the cumulative distribution function, and hazard rate functions are provided. The maximum likelihood estimates of the parameters were obtained and finally, we examine the performance of this new distribution using some real-life data sets to show its flexibility and better goodness of fit as compared with other distributions.
Effective project management techniques are critical to managers and decision makers in handling projects in today’s competitive environment. It is required that with such techniques, managers can carry out projects and complete them within specified time and resource constraint. This research considers the application of Program Evaluation and Review Technique (PERT). PERT was used to analyze data collected from Mega Star Technical and Construction Company in charge of the renovation/building construction of renovaworks at 48 Forces Avenue, Old GRA, Port Harcourt, Nigeria. The technique was used to obtain the network diagram, critical path, expected completion time for the project and the probability of completion within a required date. Ms Project version (2013) software was also used for the analyses. Results obtained revealed that the project can be completed within record time and possess a very high probability of completing the project within a stipulated date.
In this paper we present a knapsack problem whose weight parameter is a mixture of two known distributions (Exponential and Gamma). This problem gives room for the overflowed items which perhaps will help in minimizing the penalty due to the loss of goodwill. An algebraic model is proposed for solving the problem. The behaviors of the mixture of these two distributions are also presented graphically.
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