Quantitative Modules:

In: Business and Management

Submitted By juderustom
Words 504
Pages 3
Quantitative Modules:
I Love Coffee (ILC) illustrate a waiting-line system. The Queuing theory is a very important aspect of operations at ILC, and plays as vital tool to ILC’s operations manager. I Love Coffee drive through, implements a queuing system with its customers, having customers wait in line for the product.
Characteristics of the waiting –line system at the I Love Coffee drive through. First using the arrivals or input in the systems of all the customers of (ILC) this will help build a database to better understand aspects of the ILC’s customers, such as the size or number of customers in given period of time, and certain patterns that emerge to help demonstrate a better understanding an example would be statistical distribution. With respect to the size of the population at I Love Coffee, it has an unlimited population. Patterns of customer arrivals at (ILC) show a rise in arrivals between 07:00AM – 11:00AM and 6:00PM – 12:00AM with intervals varying from 3:00 to 5:00 minutes per arrival or customer. Moreover, with regards to the waiting line characteristics ILC has a limited queuing system that can take 6 vehicles at one certain time period, more over the drive through also acts as the service facility, supplying the coffee through designated collection windows.
Additionally, to have a better quantitative understanding of the arrival rate with regards to the queuing theory, a discrete Poisson distribution can be established by the following: x: 3 P(x)= Probability of 3 arrivals = 14.037% y: 5 e:2.71828 Furthermore, another waiting-line characteristic with respect of the queuing discipline. ILC uses a first-in, first-out (FIFO) rule, with a basic queuing system design that involves a single-phase queuing system (M/M/1). This system operates with a Poisson arrival rate pattern, with an exponential service time pattern.
I Love Coffee drive…...

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