Rhoda A. Namoco ¹, Raymond O. Pailagao ¹

Affiliations
1 Department of Applied Mathematics, College of Science and Mathematics, University of Science and Technology of Southern Philippines, Lapasan, Cagayan de Oro City 9000 Philippines

Abstract

Objectives: This study aims to evaluate the relative efficiency of selected private hospitals in Southern Philippines using the output-oriented CCR model of data envelopment analysis (DEA). Methods: The output-oriented CCR model of the DEA is applied to analyze efficiency of selected private hospitals in the Philippines using four inputs (namely, doctors, nurses, other staffs and beds) and four outputs (namely, minor operations, major operations, cases treated and patient days) as parameters. Findings: DEA is a management tool commonly used to evaluate the efficiency of service units referred to as the decision-making units (DMUs) working under similar conditions and using the same types of inputs to produce the same kind of output. Unlike typical statistical approaches which compare productivity of a unit with respect to the average, DEA compares each unit with the best units and are classified as either efficient or less efficient. Moreover, the less efficient DMUs need to adopt its efficiency reference set (ERS) or benchmarks for it to improve and become efficient. Results of the study show that 1 out of 10 private hospitals are found to be less efficient using CCR model. Results further provide the magnitude of efficiency of each DMU and also reveal the potential improvements for the private hospital identified as less efficient using the model, on the basis of quantifying the efficiency. Application: This study can provide a way for the hospitals to better enhance their efficiency.

Keywords

Data Envelopment Analysis, Efficiency, Private Hospitals

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Rhoda A. Namoco ¹, Eleajen M. Lago ¹, Raymond O. Pailagao ¹, Jenefer B. Vallar ¹

Affiliations
1 Department of Mathematical Sciences, College of Science and Mathematics, University of Science and Technology of Southern Philippines Lapasan, Cagayan de Oro City - 9000 Philippines

Abstract

Objectives: Philippine National Police (PNP) directed all PNP units to deploy policemen to perform beat patrolling duties for maximum police visibility as well as to intensify law enforcement operations, anti-criminality campaign and public safety services. Beats or beat areas are the areas where policemen are assigned to patrol. In conducting patrols, the officers intermingle and work with the general populace. Due to the limited number of available policemen to be assigned in the beats, this paper aims to solve a Patrol Police Allocation Problem (PPAP) which consists of allocating policemen to beat areas to ensure optimum police visibility in the Central Business District (CBD) of Cagayan de Oro City, Philippines. Methods: In this study, an integer programming model for the PPAP is developed and solved, while considering various characteristics of beat areas and the number of available of patrol police to be assigned. Findings: Results of the study show that the proposed model provides better police visibility than the current police allocation around the CBD of the city. Application: Results of this study will provide insights on how patrol police can be optimally allocated in various beat patrol areas.

Keywords

Integer Programming, Patrol Police, Police Assignment Problem

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Rhoda A. Namoco ¹, Kathleen C. Mendoza ¹, Raymond O. Pailagao ¹, Jenefer B. Vallar ¹

Affiliations
1 Department of Applied Mathematics, College of Science and Mathematics University of Science and Technology of Southern Philippines- Cagayan de Oro Campus Lapasan, Cagayan de Oro City, PH

Abstract

Objective: This study made use of a computer-based technique to optimize the nutrient intake of Holstein dairy cattle during early lactation using locally available by-products in order to investigate, analyze and determine how best locally available by-products can be combined effectively and efficiently to formulate least-cost ration. Method: Eight locally-available by-products, namely fish meal, corn bran, soybean meal, copra meal, limestone, cracked corn, molasses and spent grain, were considered in this study. In order to obtain optimal feed rations, mathematical models were formulated and solved by taking into consideration the nutrient requirements (net energy for lactation (NE_l), Rumen Degradable Protein (RDP), Crude Protein (CP), Calcium (Ca), and Phosphorus (P)) of lactating dairy cattle, and the nutrient compositions and any restriction factor of the by-products. Findings: Results of the study provide least cost rations that meet the specified nutrient requirements of lactating Holstein dairy cattle. Novelty: Dairy cattle contribute much to the milk production in the country. Hence there is a need for proper cattle feeding management since feeds greatly affect milk production.

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