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Libraries play a vital role in providing people with reliable content. They encourage and promote the process of learning and grasping knowledge. The book worms can get loads of books to read from and enhance their knowledge. Quality of library and its services is the key to the success of learning program. Information on research, teaching and learning is the major role of a public library in present scenario. The heart of the public is provides the information for learning and teaching. Public libraries are at present facing their supreme challenge due to the universal electronic revolution. The public libraries started badly to evaluate how healthy they are in meeting, delighting, and anticipating the user group. Operations research (OR) is a branch of applied mathematics that can be used to analyze libraries and information organizations. OR can help library managers use resources effectively, and make better decisions. the linear programming method is used to solve the model, The method illustrate the significance in the planning of library work arrangement, the efficiency of library weekly works is heightened greatly.