Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilons customers make reservations through Epsilons website, but
Problem 9-09 (Algorithmic)
Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilons customers make reservations through Epsilons 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 Epsilons 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
Minimum Number ofEmployees Needed
Monday
70
Tuesday
45
Wednesday
60
Thursday
90
Friday
45
Saturday
85
Sunday
70
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
Xi= the number of call center employees who start work on day i
(i = 1 = Monday, i = 2 = Tuesday…)
Min
X1
X2
X3
X4
X5
X6
X7
s.t.
X1
X4
X5
X6
X7
fill in the blank 2
X1
X2
X5
X6
X7
fill in the blank 4
X1
X2
X3
X6
X7
fill in the blank 6
X1
X2
X3
X4
X7
fill in the blank 8
X1
X2
X3
X4
X5
fill in the blank 10
X2
X3
X4
X5
X6
fill in the blank 12
X3
X4
X5
X6
X7
fill in the blank 14
X1,
X2,
X3,
X4,
X5,
X6,
X7
Find the optimal solution.
X1
fill in the blank 15
X2
fill in the blank 16
X3
fill in the blank 17
X4
fill in the blank 18
X5
fill in the blank 19
X6
fill in the blank 20
X7
fill in the blank 21
Total Number of Employees =fill in the blank 22
Give the number of call center employees that exceed the minimum required.
Excess employees:
Monday
fill in the blank 23
Tuesday
fill in the blank 24
Wednesday
fill in the blank 25
Thursday
fill in the blank 26
Friday
fill in the blank 27
Saturday
fill in the blank 28
Sunday
fill in the blank 29
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more