/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q22OQ You are planning employees for a... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q22OQ (page 256)

You are planning employees for a bank. You plan for six tellers. Tellers take 15 minutes per customer with a standard deviation of seven minutes. Customers will arrive one every three minutes according to an exponential distribution (recall that the standard deviation is equal to the mean). Every customer who arrives eventually gets serviced.

a. On average, how many customers would be waiting in line?

b. On average, how long would a customer spend in the bank?

c. If a customer arrived, saw the line, and decided not to get in line, that customer has ________.

d. A customer who enters the line but decides to leave the line before getting service is said to have ________.

Short Answer

Expert verified

Mean arrival time,Xa炉=鈥�3鈥尘颈苍

Exponential distribution, mean and standard deviation are equal i.e.Sa鈥�=鈥�3尘颈苍

Mean service time, Xa炉=鈥�15鈥尘颈苍

Standard deviation,Ss鈥�=鈥�7min

No. of tellers, S=6

Expected arrival rate

(位)=1Xa鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�=鈥�13脳60鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�=20鈥塩耻蝉迟辞尘别谤鈥塸别谤鈥塰辞耻谤

Service rate per server

(渭)=1Xs鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�=鈥�115脳60鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�=4鈥塩耻蝉迟辞尘别谤鈥塸别谤鈥塰辞耻谤

Coefficient of variation for arrival

(Ca)=SaXa鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆�夆赌�=33鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆�夆赌�=鈥�1

Coefficients of variation for service

(Cs)=SsXs鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆�夆赌�=715鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆�夆赌�=鈥�0.4667

Expected server utilization is

Expected server utilization

(蚁)=鈥�位厂脳鈥坝�

Obtain the following results

(蚁)=206脳4鈥夆赌夆赌夆赌夆赌夆赌�=鈥�0.833

The expected server utilization is 0.833

The expected number of people waiting with the help of people waiting is

Expected number of people waiting

Lq=蚁2(s+1)1鈭�蚁脳Ca2+Cs22鈥�鈥塋q=0.8332(6+1)1鈭�0.833脳12+(0.4667)22鈥夆赌�鈥夆赌夆��=1.8468

The expected number of people waiting is 1.8468.

Step by step solution

01

Step by Step Solution Step 1: (a) Average number of people waiting in line is

Lq=鈥�1.8468

02

(b) Average number of people waiting in the system is

Ls=鈥塋q鈥�+鈥塖脳蚁

Ls=鈥�1.8468+6脳(0.8448)鈥塩耻蝉迟辞尘别谤蝉

Therefore, the average time waiting in the system

Ws鈥�=鈥�Ls位Ws鈥夆赌夆��=鈥�6.844820脳60Ws鈥�=鈥�20.53鈥尘颈苍

The average time waiting in the system is 20.53 min.

03

(c)Customer arrived, saw the line, and decided not to get in line, that customer is

If a consumer arrives, sees the queue, and decides not to join it, he is said to have balking.

04

(d) Enters the line but decides to leave the line before getting service is said to have is

Reneging service occurs when a customer leaves the line before the service is delivered.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A local market research firm has just won a contract for several thousand small projects involving data gathering and statistical analysis. In the past, the firm has assigned each project to a single member of its highly trained professional staff. This person would both gather and analyze the data. Using this approach, an experienced person can complete an average of 10 such projects in an eight-hour day. The firm鈥檚 management is thinking of assigning two people to each project in order to allow them to specialize and become more efficient. The process would require the data gatherer to i ll out a matrix on the computer, check it, and transmit it to the statistical analysis program for the analyst to complete. Data can be gathered on one project while the analysis is being completed on another, but the analysis must be complete before the statistical analysis program can accept the new data. After some practice, the new process can be completed with a standard time of 20 minutes for the data gathering and 30 minutes for the analysis.

a.What is the production (output per hour) for each alternative? What is the productivity (output per labor hour)?

b.How long would it take to complete 1,000 projects with each alternative? What would be the labor content (total number of labor hours) for 1,000 projects for each alternative?

Question: Flowcharts are a common process design and analysis tool used in both manufacturing and services. What is a key feature on flowcharts used in service operations that differentiates between the front-office and back-office aspects of the system?

A term used to refer to the physical surroundings in which a service takes place and how these surroundings affect customers and employees.

Assume a fixed cost of \(900, a variable cost of \)4.50, and a selling price of \(5.50.

a.What is the break-even point?

b.How many units must be sold to make a profit of \)500.00?

c.How many units must be sold to average \(0.25 profit per unit? \)0.50 profit per unit?$1.50 profit per unit?

Question:An enterprising student has set up an internship clearinghouse for business students. Each student who uses the service fills out a form and lists up to 10 companies that he or she would like to have contacted. The clearinghouse has a choice of two methods to use for processing the forms. The traditional method requires about 20 minutes to review the form and arrange the information in the proper order for processing. Once this setup is done, it takes only two minutes per company requested to complete the processing. The other alternative uses an optical scan/retrieve system, which takes only a minute to prepare but requires five minutes per company for completing the processing. If it costs about the same amount per minute for processing with either of the two methods, when should each be used?
See all solutions

Recommended explanations on Business Studies Textbooks

Finance Literacy (Business Studies)

Read Explanation

Business Case Studies

Read Explanation

Corporate Finance

Read Explanation

Project Planning & Management

Read Explanation

International Business

Read Explanation

Sales in Business

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.