Queuing System Analysis: A Case Study of Fast Fashion Business

Abstract

The purpose of this research paper is to study the theory of queuing to be used to analyze the appropriate number of the service unit, and the sufficient number of customers for the retail store in the shopping mall. Today, the retail selling in the case of study found the problem that the store has too many customers. They must be waited in a long line for casher. This might affect customers satisfaction. The study explains the examples that is more suitable to use are Model queuing length and who use services to receive services indefinitely (M/M/s: FCFS/∞/∞). The result of the study shows that the pattern of customers coming in service and explained in detail by Poisson Distribution with the rate of service 0.30 persons per minute. The pattern of service for customer at the counter 3 units with the average number of customers waiting in line are 0.75 persons per minute. The average number of customers in the queuing system are 2.75 persons per minute. The average time a customer spends in line are 1.26 minutes per person, and average time a customer spends in the system are 4.57 minutes per person. The analysis data of waiting time for customers, the average customers that satisfy are 0.59 minutes per person. If changed the counter from 3 service units to 4 service units and relevant to model M/M/4: FCFS/∞/∞ which the average time a customer spends in line decrease to 0.26 minutes per person, and average time a customer spends in the system decrease to 3.57 minutes per person. This showed that if increased the number of counter service from 3 service units to 4 service units will affect the customer to be able to decrease the waiting time and more satisfied with the service.