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Enhancing Library User Experience through Queuing Theory: A Performance Analysis of OPAC Systems

Authors

Manisha Naidu

MATS University, Raipur (IN)

Vinita Dewangan

MATS University, Raipur (IN)

Article Information

DOI: 10.51583/IJLTEMAS.2026.150500211

Subject Category: Mathematics

Volume/Issue: 15/5 | Page No: 2629-2636

Publication Timeline

Submitted: 2026-06-15

Published: 2026-06-15

Abstract

Libraries have evolved from traditional repositories of books into complex service-oriented systems that cater to diverse user needs. With the growth of digital catalogues and electronic services, ensuring efficiency in user interactions has become increasingly important. Queuing theory, a mathematical approach to analyzing waiting lines and service congestion, provides a valuable framework for understanding and optimizing library processes. This paper examines the application of queuing theory in library management systems, with a special focus on Online Public Access Catalogue (OPAC) searching. By exploring theoretical models such as M/M/1 queues, Little’s Law, and system utilization measures, the research highlights how performance indices like average waiting time, queue length, and service rate can be leveraged to improve the user experience. Through case-based illustrations, this study demonstrates how queuing models can guide decision-making in resource allocation, technological upgrades, and service delivery. The findings suggest that a systematic application of queuing principles can reduce congestion, improve user satisfaction, and ensure sustainable service delivery in modern libraries.

Keywords

Queuing theory, Library management systems, OPAC searching, Service optimization, Performance analysis

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References

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