linear programming with excel solver examples

LINEAR PROGRAMMING WITH EXCEL SOLVER EXAMPLES DOWNLOAD

Then we copy the formula “=SUMPRODUCT ($B$5: $B$11, D$5: D$11)” in cell D13 and paste the formula into cells E13: I13 to compute the number of employees who are working on other days. The total number of employees who are working on Monday is filled into cell D13. For example, 1 in D5: H5 means that employees start working on Monday and work Monday through Friday. 1 means that the employee will work on that weekday while 0 indicates that the employee will not work on that day. Range D5:J11 is used to track if employees work or not. Our objective – the total number of employees – is put into cell D2. Numbers of employees who start work (the first of five consecutive days) each day of the week will be recorded in range B5:B11. Read More: GRG Multistart and Evolutionary Excel Solver Engines What is the minimum number of employees that this bank can have to meet its labor requirement? All bank employees work five consecutive days. For example, 17 workers are needed on Monday, 13 workers are needed on Tuesday, 15 workers are needed on Wednesday, and so on.

The number of workers needed for a bank is shown in cells from D13 through J13. focus on Microsoft Excel (Mac and PC) and LibreOffice. Then click on cell D10, use CTRL + C and CTRL + V to copy-paste this formula into cells E10: I10 to calculate the number of employees available at other times of day.įigure 1.3 Case 2: Calculate the minimum number of bank employees to meet labor demands The Solver Tool has the capability to solve linear (and often nonlinear) programming problems. To calculate the number of employees available from midnight to 4 A.M., the formula “=SUMPRODUCT ($B$5: $B$8, D$5: D$8)” will be filled into D10. The formula “=SUM ($B$5: $B$8)” is entered into cell D2 to calculate the total number of employees. The number of employees required for each time of day will be entered into range D12: I12. Depending on the problem, the constraints may also be stated with equal signs () or greater-than-or-equal-to signs (). They know that there are three parts to every optimization problem: (1) decision variables (changing cells for Solver) (2) objective function (target cell for Solver), and (3) constraints. Since the numbers are unknown and need to be solved, I will leave them blank now. duced to linear programming problem formulations and Excel Solver. The number of employees working each of that six-hour shifts will be filled into range B5: B8. To set up the model for this problem, problem information was put in range D5:I8. The number of employees who work each of that six-hour shift.įor each time of day, the number of employees who are working must be greater than or equal to the number of employees requiredĮach changing cell must be a non-negative integer Let’s determine the objective, changing cells and constraints of this problem first.

What is the minimum number of operators needed? Time

Each operator works one of the following six-hour shifts: midnight to 6:00 A.M, 6:00 A.M. Here shows the number of telephone reservation operators needed by an airline during each time of day.

LINEAR PROGRAMMING WITH EXCEL SOLVER EXAMPLES DOWNLOAD

Download working file Case 1: Calculate the minimum number of telephone reservation operators to meet labor demands

Linear programming with excel solver examples