Title: Application of lexicographic goal programming technique to tackle production planning problem in the dairy manufacturing sector

Authors: Zahid Amin Malik; Rakesh Kumar; Govind Pathak; Mohd Azhar Ud Din Malik; Haridas Roy

Addresses: Department of Mathematics, Kumaun University, Nainital Uttarakhand, India ' Department of Mathematics, M.B. Government PG College, Haldwani, India ' Directorate of Higher Education, Haldwani Uttarakhand, India ' Department of Economics, Higher Education Jammu and Kashmir, India ' Department of Mathematics, Kumaun University, Nainital Uttarakhand, India

Abstract: Dairy manufacturing sectors are everywhere, and as such, this manufacturing sector has a mammoth influence on the planet. It has been illustrated as a leading provincial activity toward the economic development of numerous countries. These dairy manufacturing sectors usually face a lot of problems in production planning while producing different varieties of products. One of the traditional approaches to encountering production planning problems is to develop mathematical modelling as a decision support tool. Hereby, in this study, the lexicographic goal programming model is developed in the dairy manufacturing sector to tackle the production planning problem. This model aims to find the optimal production with the minimal available requirements. A case study is presented to illustrate this model in the production process. The important results are drawn by standard computer software packages. The obtained results show that all the desired goals in the dairy manufacturing sector are achieved.

Keywords: mathematical modelling; decision support system; lexicographic goal programming; dairy manufacturing sector; production planning.

DOI: 10.1504/IJAOM.2024.140470

International Journal of Advanced Operations Management, 2024 Vol.15 No.4, pp.365 - 385

Received: 28 Jun 2022
Accepted: 16 Oct 2023
Published online: 19 Aug 2024 *