Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
Bartleby Related Questions Icon

Related questions

Question
Topic 4 - Linear Programming: Appli
eBook
Problem 9-09 (Algorithmic).
Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phones. Epsilon employs call center personnel to handle these reservations and to deal
with website reservation system problems and for the rebooking of flights for customers whose plans have changed or whose travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon's management team. Having too many employees on hand is a waste of money, but having too few results in
very poor customer service and the potential loss of customers/
Epsilon analysts have estimated the minimum number of call center employees needed by day of the week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows:
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Minimum Number of
Employees Needed
45
90
X₂ +
X1 + X2+
X1 + X2+ X3+
75
60
50
45
75
The call center employees work for five consecutive days and then have two consecutive days off. An employee may start work on any day of the week. Each call center employee receives the same salary. Assume that the schedule cycles and ignore start up and stopping of the schedule.
Develop a model that will minimize the total number of call center employees needed to meet the minimum requirements.
Let X the number of call center employees who start work on day i
(1 Monday, i-2- Tuesday...)
+
Min X1 + X2 + X3 + X4+ X5 + X6 + X7
s.t.
X1 + X2+ X2+ X4+
XpXết Xịt Xót XS
X4+ XS+ X6+ X70
Xs+ X6+ X7
X6+ X7
X7
X2 + X3+ X4+ Xs+ X6
X3 + X4+ Xs+ X6+ X71
X1, X2, X3, X4, X5, X6. X72
⠀⠀⠀
0
expand button
Transcribed Image Text:Topic 4 - Linear Programming: Appli eBook Problem 9-09 (Algorithmic). Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phones. Epsilon employs call center personnel to handle these reservations and to deal with website reservation system problems and for the rebooking of flights for customers whose plans have changed or whose travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon's management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers/ Epsilon analysts have estimated the minimum number of call center employees needed by day of the week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows: Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday Minimum Number of Employees Needed 45 90 X₂ + X1 + X2+ X1 + X2+ X3+ 75 60 50 45 75 The call center employees work for five consecutive days and then have two consecutive days off. An employee may start work on any day of the week. Each call center employee receives the same salary. Assume that the schedule cycles and ignore start up and stopping of the schedule. Develop a model that will minimize the total number of call center employees needed to meet the minimum requirements. Let X the number of call center employees who start work on day i (1 Monday, i-2- Tuesday...) + Min X1 + X2 + X3 + X4+ X5 + X6 + X7 s.t. X1 + X2+ X2+ X4+ XpXết Xịt Xót XS X4+ XS+ X6+ X70 Xs+ X6+ X7 X6+ X7 X7 X2 + X3+ X4+ Xs+ X6 X3 + X4+ Xs+ X6+ X71 X1, X2, X3, X4, X5, X6. X72 ⠀⠀⠀ 0
Find the optimal solution.
X1 -
X2 =
WAN
-BESIM
Total Number of Employees -
Give the number of call center employees that exceed the minimum required.
Excess employees:
Monday
Tuesday
MAN
Wednesday-
Thursday In
Friday
Saturday
Sunday
expand button
Transcribed Image Text:Find the optimal solution. X1 - X2 = WAN -BESIM Total Number of Employees - Give the number of call center employees that exceed the minimum required. Excess employees: Monday Tuesday MAN Wednesday- Thursday In Friday Saturday Sunday
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Text book image
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Text book image
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Text book image
Business in Action
Operations Management
ISBN:9780135198100
Author:BOVEE
Publisher:PEARSON CO
Text book image
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Text book image
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.