International Journal of Students’ Research in Technology & Management eISSN: 2321-2543, Vol 8, No 2, 2020, pp 21-24 https://doi.org/10.18510/ijsrtm.2020.824 21 |https://giapjournals.com/ijsrtm © Mandal et al. OPTIMIZATION TECHNIQUE FOR MANPOWER TRAINING IN TECHNICAL COLLEGE Manoj Kumar Mandal 1* , Arun Prasad Burnwal 2 , Avinash Kumar 3 1* Department of Mathematics, Jharkhand Rai University, Ranchi, India; 2 Department of Mathematics, GGSESTC, Bokaro, Jharkhand, India; 3 Ramgarh Engineering College, Ramgarh, Jharkhand, India. Email: 1* mkmandal346@gmail.com, 2 apburnwal@yahoo.com, 3 avikr1208@gmail.com Article History: Received on 12 th April 2020, Revised on 26 th May 2020, Published on 16 th June 2020 Abstract Purpose: In the modern era, the number of technical colleges increases rapidly due to the huge growth of the students. But the number of teachers is less compare to the number of students. So, there is a need for optimization of manpower in the institutes. Methodology: In this paper, mathematical optimization is used with the help of linear programming by using permanent, contractual, and adjunct faculties with the help of three objectives for the engineering department, general department, and non-teaching staffs. Main Finding: Finally, the outcome of the paper is different optimal values for three stated objectives. Implication: The proposed method is the mathematical formulation of the optimization in a technical institute. The novelty of Study: This paper deals with a mathematical model of manpower problem. A sample problem has solved to illustrate the procedure. Keywords: Manpower Training Programme, LPP, Programming Model, LINGO Software. INTRODUCTION In the current scenario, the number of technical colleges is increasing rapidly due to increasing ratio students (Samal, S. S. & Bharati, A. (2019), Gudi, S. K. et al, (2019) ). This college carries several technical courses such as several diplomas like DCA, PGDCA, engineering diploma, several bachelor degrees like B.Tech., BCA, BBA, BSc IT, etc. several master degrees like M. Tech., MCA, MBA, MSc IT, etc. Although, the number of courses increases more, but the number of faculties is too less compared to students and courses (Kaur, A. & Manhas, R. (2008) ), (Patel, N. K. et al., (2018) ). Every year, Indian Government rule changes frequently. The main focus of this change to develop our educational quality and help the student in terms of education. AICTE and other Government bodies are continuously forcing for attending the technical course to the faculties that helps to the facilities to growth their knowledge. Everyday man is proposed with many options and choice making. In our life the main complicated and more difficult thing for us in accord with our life. Good knowledge of the judgment that you make after thinking about various possibilities to the skills needed and some techniques to be used to develop sound decision making. In this study determining and choosing among option values, for one thing, more another and values of the individual. An important factor in decision making the existing choice and option. Considering these choices and identify them. The choosing most alternative that can impact success and effectiveness. MPT is a continuous process that is useful for improvement in a job in and continues throughout their careers as it has become a major undertaking for employers (Gray, L. (1993) ), (Wilson, J. A. (1983) ), (Spaulding, S. (1977) ). In this paper, linear programming is used to formulate the proposed paper which is a part of operation research that is used in science and engineering both fields including management study (Gupta, P. K. & Hira, D. S. (2011) ), (Fagoyinbo, I. S. & Ajibode I. A. (2010) ), (Kashyap, M. & Gupta (2014) ). A linear programming model of the MPT has been discussed in this paper. In this paper, values are taken by assumption with randomly for predicting optimal solution. Let S is the set different department of the academic institute given by S=   , i= 1, 2, 3,………n; k= 17 Where,   =Environmental Engineering,   =Computer Engineering Science,   =Information& Technology,   = Mechanical Engineering,   = Electronic & Communication,   =Electrical Engineering,   =Civil Engineering ,   = Chemical Engineering,   = Communication& Skills,   =Mathematics,   = Physics,   =Chemistry,   =Yoga,   =Sport,   =Administration,   =T.P.O.,   = Library. The number of PFM and CFM of each department is as per the Intec same. These numbers vary as per the norms of UGC and AICTE which maintenance the concepts of staffs and teacher ratio.