A fast-food restaurant has one drive-through window. On average, 40 customers arrive per hour at the window. It takes an average of one minute to serve a customer. Assume that interarrival and service times are exponentially distributed. a. On average, how many customers are waiting in line? b. On average, how long does a customer spend at the restaurant (from time of arrival to time service is completed)? c. What fraction of the time are more than three cars in line? (Here, the line includes the car, if any, being serviced.)

BuyFind

Practical Management Science

6th Edition
WINSTON + 1 other
Publisher: Cengage,
ISBN: 9781337406659
BuyFind

Practical Management Science

6th Edition
WINSTON + 1 other
Publisher: Cengage,
ISBN: 9781337406659

Solutions

Chapter
Section
Chapter 12.5, Problem 9P
Textbook Problem

A fast-food restaurant has one drive-through window. On average, 40 customers arrive per hour at the window. It takes an average of one minute to serve a customer. Assume that interarrival and service times are exponentially distributed.

  1. a. On average, how many customers are waiting in line?
  2. b. On average, how long does a customer spend at the restaurant (from time of arrival to time service is completed)?
  3. c. What fraction of the time are more than three cars in line? (Here, the line includes the car, if any, being serviced.)

Expert Solution

Want to see the full answer?

Check out a sample textbook solution.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Chapter 12 Solutions

Practical Management Science
Ch. 12.5 - The MM1 Template.xlsx file is now set up so that...Ch. 12.5 - The MM1 Template.xlsx file is now set up so that...Ch. 12.5 - Expand the MM1 Template.xlsx file so that the...Ch. 12.5 - For an M/M/1 queueing system, L = /( ). Suppose...Ch. 12.5 - Suppose that you observe a sequence of...Ch. 12.5 - In the M/M/s model, where is the service rate per...Ch. 12.5 - Expand the MMs Template.xlsm file so that the...Ch. 12.5 - Each airline passenger and his luggage must be...Ch. 12.5 - A supermarket is trying to decide how many cash...Ch. 12.5 - A small bank is trying to determine the number of...Ch. 12.5 - In this problem, assume that all interarrival and...Ch. 12.5 - MacBurgers is attempting to determine how many...Ch. 12.5 - On average, 100 customers arrive per hour at the...Ch. 12.5 - A service facility consists of one server who can...Ch. 12.5 - On average, 40 cars per hour are tempted to use...Ch. 12.5 - A laundromat has five washing machines. A typical...Ch. 12.5 - The limited source model can often be used to...Ch. 12.5 - Consider an airport where taxis and customers...Ch. 12.5 - A bank is trying to determine which of two...Ch. 12.5 - A worker at the State Unemployment Office is...Ch. 12.5 - For the M/M/1 queueing model, why do the following...Ch. 12.5 - Referring to Problem 18, suppose the airline wants...Ch. 12.5 - The manager of a bank wants to use an M/M/s...Ch. 12.5 - On average, 100 customers arrive per hour at...Ch. 12.5 - Consider the following two queueing systems....Ch. 12.5 - Two one-barber shops sit side by side in Dunkirk...Ch. 12.5 - The small mail-order firm Seas Beginning has one...Ch. 12 - On average, 50 customers arrive per hour at a...Ch. 12 - On average, 300 customers arrive per hour at a...Ch. 12 - Ships arrive at a port facility at an average rate...Ch. 12 - A printing shop receives an average of one order...Ch. 12 - On average, 40 jobs arrive per day at a factory....Ch. 12 - At the Franklin Post Office, patrons wait in a...Ch. 12 - The manager of a large group of employees must...Ch. 12 - On average, 90 patrons arrive per hour at a hotel...Ch. 12 - Bloomington Hospital knows that insurance...Ch. 12 - Excessive delays have recently been noted on New...Ch. 12 - Suppose that annually an average of library...Ch. 12 - Based on Quinn et al. (1991). Winter Riggers...Ch. 12 - Zerox has 16 service centers throughout the United...Ch. 12 - Based on Kolesar et al. (1974), Metropolis PD...

Additional Business Textbook Solutions

Find more solutions based on key concepts
Name the two types of ledgers.

Accounting Information Systems

What is the primary purpose of reversing entries?

College Accounting, Chapters 1-27

CAPITAL BUDGETING CRITERIA: MUTUALLY EXCLUSIVE PROJECTS Project S costs 15,000, and its expected cash flows wou...

Fundamentals of Financial Management, Concise Edition (with Thomson ONE - Business School Edition, 1 term (6 months) Printed Access Card) (MindTap Course List)

Identify four user groups normally interested in financial information about a business.

College Accounting, Chapters 1-27 (New in Accounting from Heintz and Parry)

What reasons are generally given for imposing trade restrictions?

Foundations of Business (MindTap Course List)

How does the rate of population growth influence the level of GDP per person?

Brief Principles of Macroeconomics (MindTap Course List)