Problem 4-09 (Algorithmic) Epsilon Airlines services predominately the eastern and southeastern United States. A vast majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phone. Epsilon employs call-center personnel to handle these reservations along with any problems with the website reservation system and for the rebooking of flights for customers if their plans change or their 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 week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows: Minimum Number of Employees Needed 60 90 45 Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday 75 50 60 45 The call-center employees work five consecutive days and then have two consecutive days off. An employee may start work 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. Find the optimal solution and determine the total number of call-center employees under the optimal solution. Use a software package LINGO or Excel Solver. If your answer is zero, enter "0". Let Xi = the number of call center employees who start work on day i (i = 1 = Monday, i = 2 = Tuesday...) Min X1 I+ X2 I+1 X3 X4 +1 X5 I+ s X7 s.t. xsl Xs+ X1 X2 X3 X4 X5[+ X51+1 X1 X2 X2 X2 X51+1 X6l+ X1 X2 X3 X4 X5+ X6+1 X1 X2 X3 X4 xslt Xolti Ix Problem 4-09 (Algorithmic) Epsilon Airlines services predominately the eastern and southeastern United States. A vast majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phone. Epsilon employs call-center personnel to handle these reservations along with any problems with the website reservation system and for the rebooking of flights for customers if their plans change or their 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 week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows: Minimum Number of Employees Needed 60 90 45 Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday 75 50 60 45 The call-center employees work five consecutive days and then have two consecutive days off. An employee may start work 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. Find the optimal solution and determine the total number of call-center employees under the optimal solution. Use a software package LINGO or Excel Solver. If your answer is zero, enter "0". Let Xi = the number of call center employees who start work on day i (i = 1 = Monday, i = 2 = Tuesday...) Min X1 I+ X2 I+1 X3 X4 +1 X5 I+ s X7 s.t. xsl Xs+ X1 X2 X3 X4 X5[+ X51+1 X1 X2 X2 X2 X51+1 X6l+ X1 X2 X3 X4 X5+ X6+1 X1 X2 X3 X4 xslt Xolti Ix er. If your answer is zero, enter "0" de una solution and determine the te - 1 - Monday, i - 2 = Tuesday) Xs X6 X Xs+ Xal X2 XS+ X6 X XI X6 X7 X51+ xel X > X X X X + X IVI XS X1, X2, X, X4 X5 X6 X 20 Sunday The movies wat ve the cost of love mayat if the code and the school that the total numbered to the need to con der the time wa INOS - the number of call center what konday 0 - 1 - - Hin 1. X X X X: X 10.25, 0. 10. 10.35) 0.35 0.15 s. 10. 10. 5.0, 1.0) to.. 31. 5. 10. 10.1 But XXXXXXX Nunt of me Tuesday, Wednesday, Thursday, Saturday Sunda Total role in the induction Epsilon Airlines services predominately the eastem and southeastern United States. A vast majority of Epsilon's customer's maker employs call center personnel to handle these reservations along with any problems with the website reservation system and forth appropriately is a challenge for Epsilon's management team. Having too many employees on hand is a waste of money, but having Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation Minimum Number of Day Employees Needed Monday 60 90 Tuesday Wednesday 45 Thursday 75 Friday 50 60 Saturday Sunday 45 The call center employees work five consecutive days and then have two consecutive days off. An employee may start work any day start-up and stopping of the schedule. Develop a model that will minimize the total number of call-center employees needed to meet under the optimal solution. Use a software package LINGO or Excel Solver. If your answer is zero, enter "0 Let XH the number of call center employees who start work on day i (1 - 1 - Monday, 1 - 2 - Tuesday...) Min X X2 X3 X4 X7 XS X6 IS. Xs Xa+ x X2 XI XA X3 X X6+ X X2 X2 X2 X6 + X2 X2 X2 Xs+ Xc X X2 X X4 Xs+ X6+ X X2 X3 X4 X5+ X6 + X XE X3 X4 Xs X6 + IX X2 X3 X4 Xs+ X6 + X4 X2 720 (0, 0, 35, 0, 0, 0, 15) (0, 0,35, 0, 0,15,0) XX) - (0, 35, 0, 5, 10, 10, 35) (0, 0, 0, 0, 0, 0, 0) s employees: ey Wednesday, Thursday, Friday, Saturday, Sunday) Employees Under the Optimal Solution- Epsilon Airlines services predominately the eastem and southeastern United States. A vast majority of Epsilon's customer's maker employs call center personnel to handle these reservations along with any problems with the website reservation system and forth appropriately is a challenge for Epsilon's management team. Having too many employees on hand is a waste of money, but having Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation Minimum Number of Day Employees Needed Monday 60 90 Tuesday Wednesday 45 Thursday 75 Friday 50 60 Saturday Sunday 45 The call center employees work five consecutive days and then have two consecutive days off. An employee may start work any day start-up and stopping of the schedule. Develop a model that will minimize the total number of call-center employees needed to meet under the optimal solution. Use a software package LINGO or Excel Solver. If your answer is zero, enter "0 Let XH the number of call center employees who start work on day i (1 - 1 - Monday, 1 - 2 - Tuesday...) Min X X2 X3 X4 X7 XS X6 IS. Xs Xa+ x X2 XI XA X3 X X6+ X X2 X2 X2