There are two machines to work on those jobs. The due date (days measured from today) and days needed to complete each job are given in the following table. Formulas in other cells are copied from this formula.Ī small job shop needs to schedule six jobs. For example, the formula in cell R3 is “=VLOOKUP($P3,$B$3:$C$13,2,FALSE)”. With the help of VLOOKUP function, we can retrieve the city name in the range R3:R13.
To minimize the total distance is our objective and cell Q14 is our target cell. By sum values in range Q3:Q13, we can get the total distances that he travels. Since he needs to travel back to his first city, formula “=INDEX($D$3:$N$13,$P13,$P3)” was entered into cell Q3 to calculate the distance between the last city and the first city. By copying this formula into cells from Q5 through Q13, we can get distances that he needs to travel between other cities. Formula “=INDEX($D$3:$N$13,$P3,$P4)” in cell Q4 can return the distance that Jack will travel from the first city to the second city. The city no for the first city that Jack needs to visit was put in cell P3 and city no for the second city that Jack needs to visit was entered into cell P4. Read More: GRG Multistart and Evolutionary Excel Solver Engines
We put city no in range P3:P13 and cells in this range serve as By Changing Cells. For example, the distance between Boston and Chicago is 983 km. To set up the model, distances between cities have been entered into cells from D3 through N13. In what order should Jack visit the cities to minimize the total distance he travels? City Please note that the data in the below table are only dummy data. He needs to visit each of the cities listed in the below table and then return to Dallas. Suppose that Jack is a salesman who lives in Dallas. You can look into other cells from I4 through I6 to figure how the INDEX function works.įigure 1.1 2 Travelling Salesperson Problem Therefore, the INDEX function returns 0 in cell I3. For example, the intersection of the first row and second column of table C3:G6 is cell D2 and the value in cell D2 is 0. It returns the value in the cell at the intersection of row_num and column_num if both the row_num and column arguments are used.
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Read More: How to Use Solver in Excel (Solving Linear Programming Problems)! Selects the column in the array from which to return a value. Selects the row in the array from which to return a value. If the array has more than one row and more than one column, INDEX returns the entire row or column when only row_num or column_num is used. If the array contains only one row or column, the corresponding row_num or column_num is optional. Here is the syntax for the INDEX function. The index function can be used to return a value from within a table.
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