Question: Problem 1: Queuing Theory Worksheet A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained

Problem 1: Queuing Theory Worksheet A new shopping mall is considering setting

Problem 1: Queuing Theory Worksheet A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. (a) Find the probability that the employee is idle. (b) Find the proportion of the time that the employee is busy. (c) Find the average number of people receiving and waiting to receive some information. (d) Find the average number of people waiting in line to get some information. (e) Find the average time a person seeking information spends in the system. (f) Find the expected time a person spends just waiting in line to have a question answered (time in the queue). Problem 2: Assume that the information desk employee in Problem 1 earns $5 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day.

Step by Step Solution

★★★★★

3.53 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a To calculate the probability that the employee is idle we use the formula P 1 Arrival rate Service ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for...

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...

Manufacturing lead times, relevant revenues, and relevant costs. The Brandt Corporation makes wire harnesses for the aircraft industry. Brandt is uncertain about when and how many customer orders...

Shaynas Smart Shawls, Inc., is a small business that Shayna developed while in college. She began hand-knitting shawls for her dorm friends to wear while studying. As demand grew, she hired some...

Direct labor variances: price, efficiency, mix, and yield. Trevor Joseph employs two workers in his guitar-making business. The first worker, George, has been making guitars for 20 years and is paid...

ABC, retail product-line profitability. Family Supermarkets (FS) operates at capacity and decides to apply ABC analysis to three product lines: baked goods, milk and fruit juice, and frozen foods. It...

Comprehensive variance analysis review. Sonnet Inc. has the following budgeted standards for the month of March 2010: Sales of 2,000,000 units are budgeted for March. Actual March results are: Unit...

Steelcase Inc. is one of the largest manufacturers of office furniture in the United States. In Grand Rapids, Michigan, it produces filing cabinets in two departments: Fabrication and Trim Assembly....

Darby Electronics manufactures two large-screen television models: the Royale which sells for $1,500, and a new model, the Majestic, which sells for $1,200.The production cost per unit for each model...

What do U.S. laws require a financial company to do in regard to sharing information that it has collected on its customers?

How does country of origin affect supply chain risks? Write a detailed Introduction on this topic. Give relevant detailed information about the followings: 1. Research problem 2. Research background...

A system has the characteristic equation q(s)=s3+ 4Ks + (5+ K)s + 10 = 0. The range of K for a stable system is: a. K > 0.46 b. K

A small immersion heater is rated at 350 W. Estimate how long it will take to heat a cup of soup (assume this is 250mL of water) from 20oC to 60oC.

How does the number of atoms in a 26.5-gram gold ring compare to the number in a silver ring of the same mass?

Among the highest and lowest temperatures recorded are 136oF in the Libyan Desert and 129oF Antarctica. What are these temperatures on the Celsius scale?

A quartz sphere is 8.75 cm in diameter. What will be its change in volume if it is heated from 30oC to 200oC?

Cocoa Delights Chocolate Company makes dark chocolate and light chocolate. Both products require cocoa and sugar. The following planning information has been made available: Cocoa Delights Chocolate...

solve Figure 5.4 Responses to Perceptions of Equity and Inequity Comparison of Sell with Other People form equity perceptions by comparing their situation with that of someone else. If Inequity...

The typical subway station in Washington, D.C., has 6 turnstiles, each of which can be controlled by the station manager to be used for either entrance or exit control-but never for both. The manager...

= (b) Discuss the assumptions underlying the solution of this problem using queuing theory.

The typical subway station in Washington, DC, has six turnstiles, each of which can be controlled by the station manager to be used for either entrance or exit controlbut never for both. The manager...

S %20Assignment.pdf NFO 3130 Excel Decision Support System (DSS) Assignment The objective of this assignment is to introduce you to Data Analysis Tools of Microsoft Excel. In this assignment, you...

PLEASE MAKE THS ON EXCEL import java.io.File; import java.io.FileNotFoundException; import java.util.*; public class ProcessSchedulingEngine { static Process[] processArr; static int quantum; public...

41. A company that uses zero-based budgeting has a. An expense budget of zero. b. Zero as the starting point of budgeting the coming year's expenses. c. A zero variance between budgeted and actual...