Undergraduate

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Analyzing the Robustness of Gapan City Road Network against different attacking strategies
(2019) Gwhyneth D. Eliscupidez, Rolea-Lyn S. Asirot
Roads are vital in the everyday routine of people for they provide avenues for faster transport and connectivity between locations. Roads are needed to function at least partially, especially when there are natural or man-made disasters for rescue and supplication of goods and services. In this study, the robustness of Gapan City Road network against different attacking strategies was analysed. The road network of Gapan was represented by an undirected graph, where the vertices are the barangays and the edges are the National, Provincial, and Municipal roads. The three different strategies are; removing vertices based on closeness centrality, removing vertices based on betweenness centrality, and removing vertices randomly. The study reveals that Gapan City road network is most vulnerable when it is attacked based on degrading order of betweenness centrality, and it is most robust when it is attacked randomly. The critical vertices are Bayanihan, Bulak, Mangino, San Roque, Santa Cruz and Santo Cristo Norte.
Dancing Deformation and symmetry analysis in the dance footworks of Tinikling and Tiklos
(2019) Joyce Ann B. Aliado and Danieca S. Abuan
Dance is a performing art form that expresses one’s idea or emotion and is consisting of purposefully selected sequences of human movement. This movement has aesthetic and symbolic value within a particular culture. Dance has any kinds, one of those in folk dance. In this study, the researchers explored the symmetry patterns that involved in the foot steps and foot substeps of the folk dance, particularly the folk dances tinikling and tiklos by deforming and analyzing it. Those symmetries are translation, reflection, rotation and glide reflection. Frieze pattern are also considered in this study. Tinikling and tiklod are danced by partner, but in this study, both the steps and substeps danced by pair and danced by single person were considered. In tinikling, the position of the feet with respect to the pair of bamboo poles were considered. The study revealed that even in dancing, there’s mathematics.
Mathematical Modeling of Electric Generation and consumption in the Philippines
(2019) Allen James R. Barlis and Juvelyn G. Almuete
Mathematical models are often interested in predicting the value of a variable at some time in the future. Perhaps it is a population, a real estate value or the number of people with certain diseases. Often a mathematical model can help us understand a behavior better or may aid us in planning for the future. Mathematical models can generate conclusions that can be interpreted to help decision makes plan for the future. This study used 3 models (Malthusian, Hyperbolic and Logistic) and another model formulated by the researchers, which they called as the Bounded Exponential Growth model, to visualize electric consumption and generation in the Philippines. These models were used to predict the electric generation and consumption of the Philippines in the next 25 years. The predicted electric generation and consumption were compared to each other to determine if there will be a shortage in the next 25 years. The Malthusian, Logistic and Bounded Exponential growth models predicted that there will be no shortage in the next 25 years. On the contrary, the Hyperbolic growth model predicted that there will be a shortage in the year 2026. Overall, based on the level of significance and Root Mean Square Error, the Hyperbolic Model produced the most accurate predicted value among the 5 models.
Modeling the population growth of Nueva Ecija using Logistic Growth Model
(2019) Berna Mae B. Fragata and Sharmaine A. Quinagon
A sustainable planet should have a stabilizing population. As human population increases, humans demand for resources like water, land trees and energy increases. Unfortunately, the price of all this “increase in demand” is paid for by some endangered plants, animals and natural resources. This paper centers on the application of the Logistic Growth Model to model the population growth of Nueva Ecija using the data from the year 1970-2010. We have determined that the maximum capacity of the population of Nueva Ecija is 3238603.749 and the Vital coefficients a and b are 0.32334476 and 9.98407913 x 10-8, respectively. Thus, the average population growth rate of Nueva Ecija, according to this model, 32.3% for ten years.
Optimization of the cost organic feed blend of buffalo in dairy milk production
(2019) Mary Grace C. Gallardo and Robelene P. Rillera
This study was conducted to determine what plants may be used for feeding lactating buffaloes that minimizes the cost of feeds without sacrificing its nutritional requirements. The data was collected from the Philippine Carabao Center and these data were used to formulate a mathematical model which minimizes the cost of feel blend subject to the nutritional requirements of lactating buffalo. The two-Phase Method of linear programming was used to solve the mathematical model. Mcrosoft’s Excel Solver was also used for comparison and confirmation of the result. Both methods showed similar results, that is, a lactating buffalo may be fed with a mix of 0.9216kg of Ipil-ipil, 0.0484kg of Soybean and 0.03kg of Molasses. As found by the two-phase method, this feed mix would entail an optimal cost of only Php 3.4712 while satisfying the nutrient requirements of the buffalo.
Optimized cost of feed for Boer Bucks using Mathematical Programming
(2019) Dianne Lyka V. Tejero and Marvin B. Gabriel
The main goal of this study is to minimize the cost of feed for Boer bucks subject to the nutritional value of the feeds and nutritional requirement of goats. The minimum cost was based on the optimized linear programming model using simplex method. The linear programming model was formulated using the literary data of the daily nutrient requirement of bucks and the nutrient content of Corn Stover, Guinea grass, Ipil-ipil leaf meal, Napier grass, Pangola grass and Paragrass as technical coefficients. The simplex method was applied manually to determine the optimal solution. In addition, for comparison and confirmation purposes, the Microsoft’s Excel Solver was also used. Both methods showed similar results that, among Corn Stover, Guinea grass, Ipil-ipil leaf meal, Napier grass, Pangola grass and Paragrass, Boer bucks should be daily fed with a mix of 4,17079 pounds or 1.89151 kilograms of Corn Stover and 2.31317 pounds or 1.04906 kilograms of Ipil-ipil leaf meal which will only cost roughly 4 pesos (Php 3.99163) daily per goat or around Php 1,500 per goat in one year. In a goat farming plan from the website goat farming in the cost of feed is Php 15.00 per kilogram which is higher when compared to the result of his study.
Optimized cost of nutrient solution for Hydroponics at Central Luzon State University: an application of Mathematical Programming
(2019) Rhealyn Joy V. Nabong and Christine Mae G. Olidan
CLSU ventured into hydroponics as mitigation and adaptation against climate change and hopefully leads to increasing crop production. This was develop by the CLSU Hydroponics and Aquaponics Technologies (CHAT). Hydroponics is a new method of farming where the nutrient solution management is the most crucial part of the system. The objective of this study is to formulate a linear programming model of minimizing the cost of the nutrient solution subject to nutrient contents of the solution. The data was collected from the CHAT. Literature data on liquid fertilizers was used as technical coefficients. The collected data were then used to formulate a linear programming (LP) model wherein the simples method of solving LP models is most applicable. The simplex method was applied manually in the LP model. Furthermore, for validation purposes, a software application namely MS excel solver was also used. Both methods showed similar results that among the 5 types of popular solution in the market, only 2 are needed. These are Foliage-Pro and Grow. Specifically, the nutrient solution should have 1.844 ml of Foliage-Pro and 0.6833 ml of Grow to be mixed in a liter of water. This nutrient solution satisfies the nutrient requirements and only cot 6.872778 pesos per liter, as compared to the currently used solution that costs 12 pesos.
Proposed Traffic Light Management for the Intersection Road of San Jose City Nueva Ecija: application of Graph Theory and Linear Programming
(2019) Brix Lander C. Castro and Ryan D. De Quina
A goal of traffic management system is to provide smooth and efficient traffic flow by installing traffic lights at the intersection roads. The Pan-Philippine Highway and San Jose City-Umingan Road intersection road is one of the main intersection road of San Jose City, Nueva Ecija installed with pre-timed traffic light. However, traffic light in this intersection has been stopped due to long period of waiting time. Traffic light management in terms of finding the ordering of phases of traffic streams and providing minimized waiting time were the foremost concerns in this study. Graph theory concepts such as compatibility graph, and maximal clique and simple linear programming were used to analyse the traffic system. Traffic volume in the intersection road was also determined. Based from a seven-day period of observation, the average number of vehicles during the peak hour 4:30 p.m. – 5:30 p.m. was 5115 in the intersection road. The sequence of the existing traffic phases was determined. Proposed traffic light management by modifying the traffic streams and its corresponding phases were also presented. It was determined that modifying the traffic stream by simply reducing the number of traffic phases will result to lower waiting time. This proposed traffic light management can be implemented in the intersection road of San Jose City, Nueva eCija when the traffic lights are operational again.
Survival analysis of dengue patients admitted in San Jose General Hospital –PMDT STC using Kaplan-Meier Estimator
(2019) Jomel R. Alanzalon and Wendell P.Leobrera
Survival analysis was used in this study to determine the distribution of survival times of dengue patients confined in San Jose City general Hospital-PMDT STC (SJCGH-PMDT STC) using Kaplan –Meier Estimator, a nonparametric technique. Dengue is an acute viral illness caused by Aedes mosquitoes, In the Philippines, it is considered as one of its eight pervasive diseases infecting almost 179,540 Filipinos from January 1, 2018 to November 17, 2018. Thus it is important to conduct a study for the said ailment. Records of dengue patients from the years 2017 to 2018 were gathered from the records section of SJCGH-PMDT STC. The data included the social characteristics of patients such as age, sex and civil status and other factors such as presence of Dengvaxia and ward type the patients were admitted. All in all, there were a total of 297 documented accounts of dengue cases and of these, 246 were put in survival analysis and 51 were censored. There is no death recorded in the gathered data. The average length of stay of dengue patients in the hospital who either survived or got censored is 9.4141+0.2012 days. The shortest and longest length of stays of dengue patients were two (2) days and twenty three (23), respectively, Kaplan Meier Estimator gives the estimated median survival time which is nine (9) days, wherein survival estimate was found to be 51.45 percent, meaning after 9 days, 51-45 percent of dengue patients were discharged from the hospital. Logrank test shown that age, civil status and ward type patients were admitted were significant factors that affect the length of survival of dengue patient. While sex and Dengvaxia did not affect the length of survival of dengue patients, while sex and Dengvaxia did not affect the length of survival of dengue patients. Males and those individuals aged 24 and below more likely to be infected by the disease.
The application of Chinese postman Algorithm in waste collection routing problem of Science City of Muñoz, Nueva Ecija
(2019) Jan Marini B. Calara and Aileen G. Prado
The aim of this study is to construct a schedule for the waste collection process and find alternative solution in waste collection vehicle routing problem of Science City of Muñoz Nueva Ecija using the concept of Chinese Postman Algorithm. The city has thirty-seven barangays which is subdivided into fourteen blocks. Main roads connecting barangays with material recovery facilities are considered while narrow streets are not considered as a route for the garbage trucks. In this study, a schedule for the collection of waste of three garbage trucks during weekdays and possible route for each truck with the minimum distance to be traveled during collection were developed.

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