Excel solver for a table - excel

Trying to use the solver add-in for Excel to get the min average for a range of cells in the following table:
Where PT = processing time, DD = Due date
The cell Tardiness has the following formula; =IF([#[Cum. PT]]-[#DD]>0;[#[Cum. PT]]-[#DD];0) --> Basically Time past the due date, but if below due date = 0
Cumulative cells have the obvious formulas.
The cell in the bottom right is the average, this is the value I want to optimize, this should be done by switching the order of rows.
Is it possible to do this in solver? That it just switches order of entire rows?

As your problem is stated, it can be solved with the following steps ...
Put Row, Real PT, and DD in a separate source table (SourceTable).
Like this.
Row Real PT DD
1 8 30
2 10 14
3 13 68
4 18 53
5 16 58
6 12 18
7 11 78
8 14 26
Build your table where Real PT is calculated as =VLOOKUP(A2,SourceTable,2), and DD is calculated as =VLOOKUP(A2,SourceTable,3). All other calculations should be as you have already defined.
Set up Solver with the following:
Objective Cell is $F$10
Minimize
By Changing $A$2:$A$9
Constraints $A$2:$A$9 <= 8, $A$2:$A$9 >= 1, $A$2:$A$9 = AllDifferent, $A$2:$A$9 = integer
Solving method = Evolutionary
With these, I get the following result ...
... which may or may not be acceptable - it seems the 84 day tardiness may be excessive. Constraints could be added for maximum tardiness.
Edit - You can also specify GRG Nonlinear as the solution method, but you will need to go into options and pick multistart. GRG Nonlinear takes much longer to come to a solution than Evolutionary.

Solver can not change positions of rows.
For your case I would just sort Tardiness from smallest to largest which would give you the smallest average cumulative tardiness.

Related

Doing an operation before SUMIF or MATCH-ing multiple values to multiply before summing

I have an Excel document with multiple small tables in it. Here, each table describes a single project, and at the end of the worksheet, I want to create a summary that doesn't have "hardcoded" locations so that that when the amount of projects (tables) is adjusted, it doesn't break all the formulas. Basically, it looks like this:
A B
1 Project 1
2 Units 200
3 Price / Unit 10
4 Material / Unit 5
5 Handling / Unit 1
6 Total cost 6
7 Profit Margin / Unit 4
8
9 Project 2
10 Units 100
11 Price / Unit 5
12 Material / Unit 1
13 Handling / Unit 1
14 Total cost 2
15 Profit Margin / Unit 3
16
...
19 Summary
20 Units =SUMIF( A$1:A19 ; A20 ; B$1:B19 )
21 Material costs ???
22 Handling costs ???
23 Total Profit ???
Here, there may be an arbitrary amount of projects and I'm unsure how to create a formula that directly calculates the total material costs (and by the same pattern, Handling and Total Profit). For the total units, I can simply use a =SUMIF( A$1:A19 ; A20 ; B$1:B19 ) instead of =B2 + B2 by having the function search col A for the keyword "Units" but in order to do this for the total material costs, I need to multiply first. Eg, it would be =B2*B4 + B10*B12.
My first idea was to use an INDEX MATCH approach to extract a subarray from each table and then sum it all up using SUMPRODUCT however the MATCH function unfortunately only returns the first result and I can't get it to output an array of results (I think this is just a limitation with the function?).
I guess it would also be possible to simply add extra lines to each table to pre-calculate these products, but I don't like that solution as it would give the tables a lot of unnecessary extra bloat and I'd really like to solve this in one formula.
Any help would be greatly appreciated!
I came up with a dirty solution, using SUMPRODUCT formula that works if your using Office 365 :
example calculating total handling cost:
=SUMPRODUCT(FILTER(B:B,A:A="Units"),FILTER(B:B,A:A="Handling / Unit"))
FILTER(B:B,A:A="Units"), returns an array of values on the right of cells containing "Unit"
FILTER(B:B,A:A="Handling / Unit"), returns an array of values on the right of cells containing "Handling / Unit"

Excel formula for greater than but less than with several tiers

I have a few hundred rows of data, and each has a number between 1 and 200, and I'd like to put them in categories of 1-5 depending on where that number is.
The categories look like this:
Zones Min Max
1 0 35
2 35 60
3 60 85
4 85 110
5 110 200
I want to assign it a Zone if it is greater than the Min, but less than the Max.
I have 2 formulas I've been working with to solve it. One is a nested IF AND statement:
=IF(A1<=35,1,IF(AND(A1<=60,A1>35),2,IF(AND(A1<=85,A1>60),3,IF(AND(A1<=110,A1>85),4,IF(AND(A1<=200,A1>110),2,"TOO BIG")))))
The 2nd formula attempts to use a SUMPRODUCT function:
=INDEX($C$2:$C$6,SUMPRODUCT(--(A1<=$E$2:$E$6),-- (A1>$D2:$D$6),ROW($2:$6)))
Rather than have to continue to adjust the numeric values manually, I set them as absolutes, which is why this formula is slightly different. The E column is the Max value set, and the D is the Min value set.
Any help would be appreciated!
Use this:
=MATCH(A1,{0,35,60,85,110})
Another way is to use VLOOKUP and you just need to set the min number:
=VLOOKUP(D2,$A$2:$B$6,2,1)
The key is the 4th parameter needs to set to 1 which means TRUE. It will find the closest value and return the zone for you.
But noticed that you have overlaps like 35 or 60 etc. that you will need to adjust your value column.

Excel - Count of entries below cumulative threshold without helper column

I have the following little table. I'd like a formula that finds the number of values where the cumulative total (of column B) is less than some threshold (tx).
I tried
{=MIN((SUM(OFFSET(B1,0,0,A1:A17))>tx)*A1:A17)-1}
but OFFSET doesn't seem to be arrayable like that. Obviously, this would be trivial with a helper column, but for certain reasons that is not possible.
So the correct answer here should be 10.
tx = .8
A B
1 0.112106465
2 0.110981698
3 0.091959216
4 0.082163441
5 0.073292066
6 0.072407529
7 0.071646289
8 0.061646797
9 0.06011448
10 0.057566381
11 0.050341978
12 0.048227061
13 0.043207335
14 0.03940462
15 0.012914194
16 0.007603446
17 0.004417003
You're not really looking for a MIN; rather it should be MAX that follows your condition.
In E7 as a standard (non-array) formula,
=AGGREGATE(14, 6, ROW(1:17)/(SUBTOTAL(9, OFFSET(B1, 0, 0, ROW(1:17), 1))<D7), 1)
      
I prefer the following array formula** due to its non-volatility:
=MATCH(TRUE,MMULT(0+(ROW(B1:B17)>=TRANSPOSE(ROW(B1:B17))),B1:B17)>=0.8,0)-1
Regards
The most succinct way to do it I've found is
=SUM(--(SUBTOTAL(9,OFFSET(B1,,,A1:A17))<0.8))
entered as an array formula, or, equivalently,
=SUMPRODUCT(--(SUBTOTAL(9,OFFSET(B1,,,A1:A17))<0.8))

Create a formula that returns a minimum date from a range based on cell values in another column

I am looking for a formula that will return the earliest date from a column, based on the contents of values in other cells. (Actually I want a Min and Max date, but am assuming the Max will be identical to any Min solution )I know I can return the date I want just by using MIN and specifying the range of cells I want, but I ideally want the formula to be dynamic. I have looked around and believe I possibly need to use a combination of index and match, but cant find any examples that use Min and Max. I have considered using dynamic named ranges to define my task groups, but that would mean having to define a static number of task groups, and there could be many task groups.
The sheet below shos some sample date on the left of the workbook, with the summary data on the right. The "hidden worker column" was an idea I had that I though might make the solution easier. So I want the summary data on the right to use either column A, or column B if its easier, to display the min and max dates based on the section number in column F - Is this possible without VBA?
#mthierer's link is good. If you wanted to remove the need to add a "helper column", you could try (data in A1:C10; summary table in E1:G2):
{=MIN(IF(ROUNDDOWN($A$1:$A$10, 0)=$E1, $B$1:$B$10))} (or {=MAX(...)} with $C$1:$C$10)
Note that you have to enter the formula as an array formula with CtrlShiftEnter.
Data (A1:C10):
1 23 57
1.1 42 91
1.2 35 100
1.3 39 80
1.4 28 51
1.5 30 96
2 33 52
2.1 11 73
2.2 48 80
2.3 16 59
Summary Results (E1:G2):
1 23 100
2 11 80

Need to make a calculation based on multiple lookup results on another Excel sheet

Need to try and get a result based on possible 3 lookups in Excel.
I have a price for a certain size hire vehicle and need to check to see if I want to add in a supplement or not based on entry into a cell in another sheet.
I have a sheet called Keys that has the criteria I base my calculations on and a second sheet I have the rates loaded for all the vehicle sizes available, cars to coaches. I would like to calculate the supplement for customers of the move to a larger vehicle or even a reduction dependent on what I choose.
Keys data is:
Vehicle Sizes
Range # Seats Rate Column Supplement Range to work on
1 4 R N
2 7 S Y 1
3 16 T N
4 24 U Y 5
5 29 V N
6 35 W N
7 45 X N
So for example if the I have chosen to calculate the supplement on the 7 seater then I want to calculate the difference between the 7 seater and 4 seater and that is my supplement. I have also chosen to calculate the reduction between the 29 and 24 seater vehicles.
Am trying to figure out how to combine multiple IF and LOOKUP, if they are correct or not.
So basically IF I have a Y in the supplement column on Keys then calculate the difference in the rates based on the Rate Column based on the Range to work on.
Any suggestions or help appreciated
Sorry think I forgot about the actual rates. They are stored on another sheet as per below. the charges are per service, like an airport transfer etc., they are in VN Dong so thats why they are in the 100,000 + range.
R S T U V W X
Rate with Surcharge
4 7 16 24 29 35 45
340000 373000 394000 735000 780000 1050000 1210000
I have tried to tweak the answer from pnuts but getting a bit lost, note sure if I need the MATCH in the formula of not.
I doubt this will suit but it may help to clarify your requirements:
=IF($D2="N","",INDEX(Sheet2!$Q$2:$X$4,MATCH(F$1,Sheet2!$Q$2:$Q$4,0),CODE($C2)-80)-INDEX(Sheet2!$Q$2:$X$4,MATCH(F$1,Sheet2!$Q$2:$Q$4,0),CODE($C2)+$E2-$A1-81))
in F2 copied across and down to suit.

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