What is the average number of customers waiting in line

Assignment Help Operation Management

Reference no: EM13232173

Spalding Doughnuts wants to know about its waiting line. Currently, Spalding Doughnuts uses a single-server, single-phase system when serving customers. Based on historical evidence, the average number of customers arriving per hour is 90 and is described by a Poisson distribution. They estimate that they can serve 120 customers per hour with the service times that follow an exponential distribution. Being that Spalding%u2019s customers have infinite patience and are willing wait in rain, sleet and snow for the chance to get the doughnuts of the gods,we do not see any balking or reneging. Being that Spalding Doughnuts is located in Lexington, Kentucky a city with a large populationcustomers come from an infinite population. The Spalding family would like you to help them solve some thorny operational problems and figure out some system performance measures. Show the calculation please

a. On average, approximately how long do customers spend in the waiting line before they first get served?

b. What is the average number of customers waiting in line?

c.What is the probability of having more than 3 customers in the system?

d. What is the average utilization?

e. On average, approximately how long customers spend in the service system (i.e., the time from first getting in line until they receive their doughnuts)?

Reference no: EM13232173

Questions Cloud

Define the odds of finding a particle : What are the odds of finding a particle in a one dimensional box between 0 and L/2, where L is the length of the box. Assume that the particle is in the second to lowest energy level (n = 2).

The neurobiology of drug tolerance dependence and withdrawal : Explain, in terms a layperson could understand, the neurobiology of drug tolerance, dependence, and withdrawal.

Describe the serine hydrochloride : How many moles of Serine Hydrochloride are present in 2 Lsample of 0.2M serine at pH 3.2, Write the sequence of the peptide fragments

What lessons might we learn from the ethnographic research : Name some research practices that are of questionable ethics. Explain why you think they are questionable. Be sure to focus on research ethics.

What is the average number of customers waiting in line : On average, approximately how long customers spend in the service system (i.e., the time from first getting in line until they receive their doughnuts)?

Why do people procrastinate : Why do people procrastinate? Give an example of how procrastination can impact a person's effectiveness. What are three techniques to overcome procrastination?

What should tracy do about this situation : She always has everything done in a timely manner and her books balance at the end of every day. What should Tracy do about this situation?

Social psychology concept matrix : : Social Psychology Concept Matrix

How might a negative base salary be implemented in reality : The value of a successful project is $420,000; the probabilities of success are 1/2 with good supervision and 1/4 without. The manager is risk-neutral, not risk-averse as in the text, so his expected utility equals his expected income minus his di..

User Account

All Pages