An Investigation on the Stationary Shop Queuing Model; an Overview of Mathematical Modeling

Abstract

Queuing model theory is a branch of mathematics that studies the behaviour of waiting queues. It is used to analyse and model the overall production of the systems where all the resources and equipment are shared among competing demands. These systems can include anything from computer networks and telecommunications to manufacturing processes and customer service operations. The purpose of this research paper is to analyse the customer flow and service efficiency of a stationary shop using queuing theory. The study seeks to understand the patterns of customer arrivals, service times, and overall system performance to provide recommendations to improving the shop's operational efficiency. Data Collection: The data for this study was taken over a period of one month from a well-known and busy stationary shop (Aditya Stationers and Sports) in Jodhpur. We interacted with the owner of the shop Mr. Jitendra Kumar and collected the data. The data includes: Arrival times of customers, Total number of service counters, Queue lengths at different times of the day.