Aragon 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 75 60 50 45 75 D 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. employees needed to meet the minimum requirements. badatels
Aragon 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 75 60 50 45 75 D 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. employees needed to meet the minimum requirements. badatels
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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
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
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