Modeling a Small Scale Business Outfit With M/M/1 Markovian Queuing Process and Revenue Analysis

Abstract

This article presents a queuing model on the operation of a small business which are often visited with a lot of set- backs and uncertainties.  Probability models were derived for two system characteristics namely the customers' inter-arrival rate (I_t), the service time per customer (Y_t), and the Service charge (C_t) per customer was also recorded. This data collected were subjected to single factor analysis of variance with fixed effect to confirm whether the data came from the same population distribution. However it was observed that the inter-arrival time for the customers was exponential, service rate also exponential..............