Using Solver to Assign Items to Buckets

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In April 2011, Mdsuhair asked a question at the Chandoo.org Forums

What formula can I use to divide a group of numbers into 2 groups so that the Sum of each of the 2 groups is as equal as possible?

This is a candidate for Solver.

This post will walk us through the solution to the problem using Solver. It uses Solver and screen shots from Excel 2007.

All versions of Excel have solver available. Users should note that the screen shots may not match your version although the functionality will, some of the functions appear in different locations in different versions of Solver.

What and Where Is Solver

What is Solver

Solver is an Excel add-in that can solve problems by enabling a Target cell to achieve some goal.

This goal may be to minimse, maximise, or achieve some target value.

It solves the problem by adjusting a number of input cells according to a set of criteria or constraints which are defined by the user.

Where is Solver

Solver is an Excel add-in supplied with Excel, but not enabled by default.

To enable solver

File, Excel Options, Add-ins, Manage Excel Add-ins, Select the Solver Add-in checkbox

Solver will now appear as a New Tab on the Data, Analysis Tab

Solver Example

This post is based around a worked example Solver Example File, the file is compatible with all versions of Excel.

Defining the Problem

Mdsuhair had a series of 8 Items each which had a value:

 

He wants to know which items should be combined so that the sum of the values of the items is nearly equal.

To do this we need to assign each item into a Bucket. Namely Bucket A and Bucket B.

We will put values of 1 into a Bucket for each Item to show that it is assigned to that Bucket and a value of 0 to show that the bucket is empty (In/Out) Value.

We can start by adding a Total Column, which counts items in Buckets A + Bucket B for each Item, It then totals the totals.

We also know that we need to work out the Value of each Item in each Bucket

We do this by multiplying the Items Value by the Buckets (In/Out) value

Finally we need to add up the values in each Bucket and work out the difference between them

Mdsuhair’s original problem was to minimise the difference between the sum of the values in the 2 buckets.

Now we can place values of 1 in the buckets manually and Excel will show us the value of each Bucket and the Difference between them in Cell G11.

I have applied some conditional formatting to show when a cell has a value > 0.

The problem is that there are 28 or 256 combinations of answers, and to test them all manually at 1 every 5 seconds would take 21.3 minutes, assuming we can keep up that pace and remember which was the best combination.

This is where solver comes to the fore.

Applying Solver

To apply solver we need to define a series of requirements, rules and constraints.

These requirements, rules and constraints guide solver and set limits which allow solver to quickly narrow in on the answer.

What are our rules

Our main requirement is to minimise the difference between the value of the 2 buckets.

The difference between the 2 buckets in our example is cell G11, the sum of Bucket 2 values minus the Sum of Bucket 1 values.

We want to have G11 as low as possible but greater than or equal to 0.

 

We also know that an item can only be in Bucket A or Bucket B, it can’t be in both and can’t be Broken apart.

That is 2 Constraints for each Item

Firstly The Total column must be equal to 1

Secondly the Buckets Values must be Integers

We also know that the Total Number of Items is 8, this is another constraint.

We will discuss how these constraints are used in the next section

The Solver Window

This section will explain the solver window and its use in defining the problem within solver.

A Blank Solver Window

A Filled Solver Window

Set Target Cell:

This is the Target cell which is the cell which you are trying to solve the problem for.

Our Target cell is G11, The difference between the 2 Buckets values

Equal To:

The Equal To: section defines what we want to do with our Target Cell.

We want to achieve the same value in each Bucket and so the difference between the Buckets will be 0.

It might sound strange but we don’t want to minimise that difference. A minimal value will be achieved when all the Items are placed in Bucket A, as our equation for G11 will then have 0 – Total which is –Total, which is more minimal than 0.

Another way to constrain this is to Change G11 to =Abs(G10-H10)

This allows us to use Min as an Equal To: Value

But for now we can just leave G11 as =G10-H10 and we will set the Equal To: section as 0.

By Changing Cells:

Changing Cells: refers to the cells which will be modified by Solver to try and solve the problem.

We want to let Solver change the number of items in each bucket, this is the range: $C$2:$D$9

Hint: You can try the Guess button next to the Range Reference and Solver will take a Guess at what cells the problem is dependent on.

Always check this if you use it, especially in complex models.

Subject to the Constraints:

Constraints are the rules which define the limits of the possible solutions to the problem

We will add several constraints for our rules:

1. The Total column must be equal to 1 for each Item

2. The Bucket Value must be an Integer

3. The total contents of the 2 buckets must be 8 items

4. You could add a further constraint that each Bucket should hold the same number of items

Hint: As a general Rule, Under Constrain rather than over constrain! You can always add more constraints later.

To do this we will use the Add Constraint Button

1. We need to add a constraint for each cell in the Range E2:E9 that it is only allowed to be = 1

This constraint must be applied for each cell in the range E2:E9

2. We need to add a constraint for each cell in the Range C2:D9 that it is only allowed to be an integer

This constraint must be applied for each cell in the range C2:D9

3. We need to add a constraint for the Total of the 2 Buckets, E10=8

You can Change or Delete Constraints if you make a mistake by selecting the appropriate constraint and using the Change or Delete Buttons

Save and Load Solves Parameters

Selecting the Options Button there is the Option to Save Model and Load Models.

Hint: The Save/Load Models has been shifted onto the main Solver dialog in Excel 2010.

Using the Save Model and Load Model options you can Save and the Load the Solver Parameters for your model. The Save Model saves the parameters in a Range of cells as shown below.

This allows an easy way to actually setup and/or change the solver parameters.

Hint: Setup one constraint using solver then Save the model. Edit the model on the worksheet and re-load the model as required.

Note: That the parameters although when saved show as True/False or Numbers are all Excel Equations, see above.

This means you can edit them to change the Constraints and Parameters as required and re-load them into solver.

I have included 3 sets of Parameters for our model.

These are:

  • Base Case – Forces bucket values to be equal, Allows uneven bucket counts
  • Equal Sized Buckets – Forces each bucket to contain the same number of items
  • Force an error – Which forces an error in the solver model

Load each model and try them at your leisure.

Running the Solver Model

Warning: Solver is a computationally complex add-in, so once your model is setup, Save your Workbook.

Prior to running the model there are a few parameters we should look at to ensure the model solves correctly.

On the main Solver window select the Options button. (Some of these parameters are on the Main Solver window in Solver 2010)

Generally you can accept the defaults but in this case we will change the following

Assume Linear Model – Select

Assume Non-Negative – Select

Note: Solver in Excel 2010 will return a better answer without these 2 parameters enabled by default

The other 2 parameters which you may need to change from time to time is

Precision: Precision is a number from 0 to 1 and higher means more precise

Tolerance: Tolerance shows how far away from a Number, an Integer constraint is allowed to be

The use of the Estimates, Derivatives and Search parameters are beyond the scope of this post. I direct you to the Excel Help on these subjects, by selecting the Help button.

Run the Model

To Run the Model, select the Solve Button from the main Solver menu.

The main status bar in Excel will flash up a number of statistics about the internal workings of the Solver add-in. Generally these flash by and are too fast to read. If a model is too complex it may stall and you won’t see any movement for a while. Solver generally recovers from these problems itself.

 

Once the Solver model finishes it will display a dialog of the results and allow you to do several things

First thing to note is that “Solver Found a Solution.

If it has found a solution, the worksheet cells will be changed to show the solution

You now have 4 options:

  • Run a Report
  • Save a Scenario
  • Return to the model
  • Check Your Results

Run a Report

Run a report by clicking the report you want.

A new sheet will be added to your workbook depending on the report but will be called:

  • Answer Report 1,
  • Sensitivity Report 1
  • Limits Reports 1

etc.

Note, that not all reports are relevant at all times, depending on the Constraints you have applied.

Save a Scenario

Selecting the Save a Scenario button takes you to the Save Scenario dialog.

 

Type in a Name and the Scenario of your model is saved as a Scenario.

Scenarios as available for use in the Scenario Manager, which is accessed from the Data, What-If-Analysis Tab

Return to the model

You can return to your model and either:

  • Keep Solver Solution
  • Restore Original Values

Check the Results

Solver is probably the most Black Box’ish of systems within Excel. As such any results it puts out must be manually checked for suitableness before further use.

These checks for realness, should as a start confirm that the results meet all the criteria supplied.

Are the results roughly what were expected?

Are any Minimums or Maximums violated?

 

What If Solver Doesn’t Find a Solution?

From time to time Solver will return with an error that a “Solver could not find a feasible solution.

When this happens it is indicating one of several possibilities:

  • Your model is over or under constrained
  • Your model constraints are impossible to meet
  • Your model constraints have an error

Start by checking the current constraints for errors and ambiguities

Eg: in our case we have 8 items so requiring the Count of the two buckets to be 20 is impossible to meet

 

My Solver Answer has Strange Numbers?

In solver up to and including Excel 2007, solver would commonly return numbers like 3.5E-18.

This is 0.0000000000000000035, which is effectively 0

If your model returns these, feel free to go through the model and change them to 0, in our model we should also check as the corresponding 1, may in fact be 0.9999999999999999965.

It should be noted that this problem in Solver in Excel 2010 does not occur as often but will still occur.

 

What and How have you used solver in the past?

What and How have you used solver in the past?

Let us know in the comments below:

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60 Responses

  1. My most often used variation of this is to remove blanks from a list.

    Suppose column A contains information but some of the rows are blank. I want to return a continuous list of information without the blanks so I do…

    Your original formula looks like this:
    =IFERROR(INDEX($B$1:$B$20,SMALL(IF($A$1:$A$20=$E$2,ROW($A$1:$A$20)),ROW()-2),1),””)

    I want to look for non-blanks and all my data is in column A so I change it to:
    =IFERROR(INDEX($A$1:$A$20,SMALL(IF($A$1:$A$20″”,ROW($A$1:$A$20)),ROW()-2),1),””)

    Ctrl+Shift+Enter, fill down and ta-da! A nice continuous list of information without any blanks.

    1. =IFERROR(INDEX($A$1:$A$20,SMALL(IF($A$1:$A$20″”,ROW($A$1:$A$20)),ROW()-2),1),””)

      The original post chopped out my ‘does not equal’ for some reason. This is how it should look

      1. And again ?????

        My sincerest apologies Sohail, I didn’t mean to trash your comments section like this. I’ll stop replying now.

    2. Hi Sir,

      I am not able get any value by using below formula.
      =IFERROR(INDEX(DeliveriesMaster!$H:$H,SMALL(IF(Criteria!$A$3=DeliveriesMaster!$A:$A,ROW(DeliveriesMaster!$H:$H)-7,””),ROW()-3)),””)

      I want try

      help me

  2. Great stuff. I laughed. I cried. I hurled.

    Personally I would use a PivotTable and Gordon Ramsay. But hey…as long as we cook the books, then each to their own, I’d say.

  3. I won’t recommend the use of ROW()-2 because everything gets mess if you insert a row(s) before the row 2. The alternative would be ROWS(E$3:E3).

    Regards

    1. Hi Elias,
      I tried doing what you have suggested here.
      Ading any additional row messes up everything like you siad. But using the formula that you have suggested, shows only one value for the entire array. Would you please help me undersatand your method. I feel I may not be doing it correctly.
      Regards

  4. I’ve been using data with multiple occurrences for awhile now, and was glad to see the question I’ve been trying to ask and don’t know how finally got answered. Now if I can be brave enough to use this, is another question.
    What I usually do is just add another column to the end of my data =IF((COUNTIF($B$2:B2,B2))=1,1,””) where B is my unique identifier and then just do multiple COUNTIFS with it.
    For multiple Occurrences and Criterias, I just add another column to Concatenate my unique identifier and the other criteria =$B2&” “&$C2, then add another column using the same =IF((COUNTIF($B$2:B2,B2))=1,1,””) but this time use the column where I placed the concatenated data.
    Any ideas how to lessen the number of columns I use without using any Arrays or VBA’s?

    1. Hi Mando,
      Are you pretty much asking for an alternative way to do this without VBA/Array Formulas? If so, I would recommend not doing that, Arrays make things a bit easier. The method you wrote looks like it will increase work, I’m always in search of efficiency in the long term 🙂

  5. It’s both illogical and unnecessary to use a construction for SMALL’s (or LARGE’s) k parameter which consists of the ROW function (either in its unqualified form, i.e. ROW(), or with a reference, e.g. ROW(A1)) +/- some constant.

    Not only is such a construction necessarily dependent upon the row number in which the user decides to place the initial formula in the series, but it is also susceptible to error upon row insertions within the sheet.

    ROWS (i.e. ROWS($1:1), or ROWS(A$1:A1) if you prefer) gives precisely the same results, though suffers from neither of these two drawbacks:

    http://excelxor.com/2014/08/25/row-vs-rows-for-consecutive-integer-generation/

    Regards

  6. @Elias and XOR LX, great point and while I use the construct you mentioned in other things, I never really gave it too much thought since I owuldn’t readily insert rows in this sort of thing.

    I love the rule of ROW(A1) +/- constant being illogical! Any time I can eliminate something from my arsenal due to redundancy is good. Much appreciated and once again this sort of exchange is precisely why we love Chandoo 🙂

  7. I like this technique a lot and *will* be using it. However how can it be done in 2D. E.g I have a 3 by four table (12 items) and each items is either an “Apple” or an “Orange”. I want to get the row and column position of each occurrence of “Apple” and of “Orange”? How would I do this?

  8. @Mr J

    When you say “row and column position”, do you mean relative positions or absolute? For example, if your table was in A10:D12, and the first occurrence of “Orange” was in cell B11, would you want 11 (absolute) or 2 (relative) returned for the row position?

    Regards

  9. The master database contain name, designation, salary, passport no, expiry date, joining date, project no. camp name, floor no., flat no., room no., around 20 more column, and this is more than 500 staff member.

    i want to make report for the camp and i want use the employee ID to transfer their name, designation, flat no., and their room no only to other sheet using VBA code.

    Please help me.

    Thanks

  10. This was a great post and I learned a lot. i am attempting to do exactly what this post was about with the exception of direction, i want to go across not down. is this possible?

  11. To summarize for those who will not take the time to go through the whole comments list (and who therefore will avoid some brain overload and save some grey cells), use at the end of your array formulas

    ROWS($1:1) instead of ROW()-2

    it additionally is more intuitive for understanding the formula:
    ROWS($1:1) => displays 1st result
    ROWS($1:3) => displays 3rd result

    Thanks all for this posts & comments

    Skrattoune

    1. in the Multiple Occurrences fomula, we couldnt get the second line since its not appear, but when we check your file, i saw there is {} brackets before equal but when we extract it we couldnt see it. how to do that?

  12. Very useful post. I worked with the downloadable workbook and did some experimenting to see how each part of the formulas worked. Although I understood most of it, I have a question. What if I wanted the results of my search for each person to be listed by column instead of by row?

  13. Hi all,
    thanks for the contribution, it helped a lot.

    But what if I need to get the average of the multiple values I get?
    Is there a way to get the average of these multiple values directly (without listing them beforehand…my sheet is already busy)?

    thanks a lot.

  14. Mr. Doo, you are so funny! I did not know the multiple occurrences could be done without a (trial and error) macro.
    You make it fun to make a complicated task a Can – Do ! Thanks!

  15. Hi,
    It looks super helpful.
    However, whatever I do it feels I’m almost there… but every time it’s a mirage.
    I’ve a (very) big data table consisting of multiple parameters (about 10) for every value in column A. A problem – same A value may (or may not) appear multiple times in my big table. Luckily, the repetition is always in clusters – one after another (and after the cluster ends, there is no more same A).
    The goal – I’ve a subset of data consisting of arbitrary values of column A (each one repeats only once), and I want to get all the parameters for all them (including for the as much as there is same A values). With you function, it fills nicely automatically for only the first A, but only once (without considering multiple occurrence), and then jumps to the next one.
    Is there a way to solve this (without tediously manually inserting N rows number for N A’s)? I prefer not using macro’s.
    Thank you,
    Julia

  16. Does anyone know how to summarise the following data to return the record vertically under the expected result?

    Much appreciated …

    Data is from A1 to D3
    Name “Asset Name#1″,”Asset Name#2″,”Asset Name#3”
    ABC Asset 1 Asset 2
    ZXY Asset 1

    Expected Result:
    Name: Asset Name
    ABC Asset 1
    ABC Asset 2
    ZXY Asset 1

  17. Hi

    What if I have multiple criteria I need to do this for? So in your example, instead of just “Tom Yorke”, I had a list of first and last names I needed to identify all instances of in a larger file. How would I go about doing that? Thanks!!

  18. Hi,
    I have 2 sets of name lists in a spreadsheet and need to find whether the same set of names repeat in the consecutive rows. can anyone please help me.

  19. hi dear
    i have a list of persons(First name space last name) in column A. multiple values are equal to first name and last name. ie. A kumar, b kumar alok das, alok ranjan. now i want multiple entries of all matching first name or second name as per my choice, what is the solution.

  20. Hi,
    I have 10 rows. in row 1 there are multiple columns. in few colums some values are present. just i wants to count the coulmn number of first record. how do i get it ?

    example

    A B C D E F G H I J
    10 13 19 12 –> here number 10 position is 3
    11 2 5 8 –> here number 11 position is 1
    23 45 48 –> here number 23 position is 2

    1. @Arvind
      Try:
      =INDEX(COLUMN(A1:E1),MATCH(TRUE,INDEX(A1:E1<>0,),0)) Ctrl+Shift+Enter

      Copy down

      Change Column E to match the last column of your data

  21. Hi
    I wonder if you have any tutorial (preferably in video format) concerning your technique of sorting a data table in a dashboard based on user choice control button
    Thank you

  22. Great post! Thanks for presenting a solution to a problem I had. However, how do I expand this to search across multiple worksheets? Thanks!

  23. Just to say that you have been the only person I’ve found to bother explaining the rationale behind your function choices. There were other articles on the internet where people didn’t bother to make the effort. Many thanks.

  24. Is there a text character limit to this formula? It works when I enter a few sentences, but not when I have 10 sentences.

      1. this is the formula I’m running:

        =IFERROR(INDEX(Input!$A$1:$R$201,SMALL(IF(IFERROR(SEARCH($E$2,Input!$D$1:$D$201)>0,FALSE),ROW(Input!$D$1:$D$201)),ROW()-5),COLUMN()),””)

        and when I have this text paragraph on the sheet I’m pulling from, it won’t pull in:

        “We do need a fair amount of analysis in advance of the meeting. Let’s start with a sensitivity analysis at plan value under various assumptions in terms of what lenders take – say 50% up to 100% in 5% increments. Need to understand dilution at various points to each side as we negotiate. If we can get that in the next hour or so, we can figure out what else would be helpful to negotiations. ”

        But when I shorten it to:

        “We do need a fair amount of analysis in advance of the meeting. Let’s start with a sensitivity analysis at plan value under various assumptions in terms of what lenders take – say 50% up to 100% in 5% increments.”

        It works then..

  25. I like your work. the tread has been very informative.
    What I am trying to do get the multiple occurrences fill in columns not rows. AKA while you example has results in a the following format:
    Thom Yorke
    3
    8
    10
    12
    18

    I want the result to be
    Thom Yorke 3 8 10 12 18

    Can you assist with this change?

  26. Great work in this article! Very well explained!

    But i need some help…

    I want to use the Multiple Occurrences and Multiple Criteria with the Partial Text Search.

    Example:
    1st criteria: G11
    2nd criteria: Varnish
    3rd criteria: 1503/5

    And i want to use in the 3rd criteria only the “1503” to seeach 1503/5, 1503/6 and 1503/7.

    Can you help me with this issue?

  27. Hi chandoo, thanks for your wonderful work.

    I am in stuck to find a solution to extract multiple rows (by using index+ small+ if) and extract the multi columns to its rows.(multicolumn data should be combined as single).
    I repeated the index function three time to get three column’s data and combine it with wild character and got the required answer. But feel this can be done in better way. so Could you please help to simplify the below formula in alternative way.

    {=IFERROR(INDEX(Table1,SMALL(IF(Table1[Tag trim]=LEFT(F75,8),ROW(Table1[Tag trim])-1),1),COLUMN(Table1[MAX. LENGTH (mm)
    (22)]))&” X “&INDEX(Table1,SMALL(IF(Table1[Tag trim]=LEFT(F75,8),ROW(Table1[Tag trim])-1),1),COLUMN(Table1[MAX. WIDTH (mm)(24)]))&” X “&INDEX(Table1,SMALL(IF(Table1[Tag trim]=LEFT(F75,8),ROW(Table1[Tag trim])-1),1),COLUMN(Table1[HEIGHT (mm)
    (23)])),””)}

  28. Hi. Your help in excel is great. It has being very helpfull in a project I am working on.

    I got a question about Multiple Occurrences: I am trying to get all different values from the a same date and return values horizontally.
    It ls like this:

    Date provider
    June 2 A
    June 2 A
    May 3 A
    May 3 A
    May3 B
    April 4 B
    April 4 B
    April 4 B
    April 4 C
    April 4 C
    April 4 A

    Could you please help me with the formula?

  29. I’ve got a lot of hints from this post and was able to get almost there with my task but there is one problem – string length. I have a long list of stuff given in consequtive columns. I need to peak certain type of data (long string) and put them together in one cell. The text type comes after the text, so schematically one raw of the data looks like this (where Ty My Wy Oni etc is the Type and it repeats):
    Text_A Ty Text_B My Text_C Wy Text_D Oni Text_E Ja Text_F Ty Text_G My Text_H Wy Text_I Oni Text_J Ja Text_K Ty Text_L My Text_M Wy Text_N Oni Text_O Ja Text_P Ty Text_R My Text_S Wy

    What I want is “Text_A, Text_F, Tekst_K, Text_P” if the search=”Ty”
    The following works if the string in Text_X is <256; if logner -forget it
    =TEXTJOIN(", ";TRUE;IF($C$4:$AL$4="Ty";$B$4:$AK$4;""))
    same with error handling
    =TEXTJOIN(", ";TRUE;IFERROR(IF($C$4:$AL$4="Ty";$B$4:$AK$4;"");""))

    Most of the Index – Small etc solutions take up several cells to work and that is not an option this time. Any hints, please?

  30. Hi Chandoo,

    I have been brainstorming this from past couple of months. I work in reporting team and during month end I pull all incident report which has changed priority from P1-P2-P3-P4, P2-P3-P4 or P3 to P4. Currently, I am performing it manually (4000+ count). Below is the sample excel where I would highlight in a different color if priority changes from P1-P2-P3-P4, P2-P3-P4 or P3 to P4. So basically I want to check column A if it has more than 2 similar value it should check the final priority in column B based on Column C’s updated time and it should return value as P1-P2-P3-P4, P2-P3-P4 or P3 to P4 in Column D.

    Number Priority Start time
    INC0281369 Priority 2 2017-07-03 13:01:07
    INC0281369 Priority 4 2017-07-03 13:04:29
    INC0281696 Priority 3 2017-07-26 21:20:16
    INC0281696 Priority 4 2017-07-27 00:06:21
    INC0281962 Priority 3 2017-07-01 01:13:41
    INC0281962 Priority 4 2017-07-01 04:21:12
    INC0281974 Priority 3 2017-07-01 01:35:41
    INC0281974 Priority 4 2017-07-01 03:25:14
    INC0281976 Priority 3 2017-07-01 01:40:25
    INC0281976 Priority 4 2017-07-01 03:26:29
    INC0281985 Priority 2 2017-07-01 02:03:38
    INC0281985 Priority 3 2017-07-04 18:29:34
    INC0281987 Priority 2 2017-07-01 02:06:38

    Any help would be appreciated

  31. You have done a great job, Bravo!
    I want the same result but my “Das hoff” is in multiple sheets. Can you please be kind enough to give me the formula to have the same output but the searches are in different sheets.

    Thanks in advance.

    Nadeem

  32. Hi! Your instruction is great on this however I am still stuck with my formula. I revert back to INDEX/MATCH but I know my data is skewed. I really hope you can help!

    I am working with two worksheets, CREDIT _MEMO_ACCRUAL_MASTER & CM_12 – I will reference them as WS A& WS B.
    WS A is the master where my formula starts in column 15, row 2. My index/match is based on multiple criteria, Invoice # & Sku, to lookup the Original Invoice Date from Index sheet WS B. WS B only contains original invoice date, sku, credit date and amount.

    WS A:
    INVOICE# SKU RESULT FROM WS B
    139591 XYZ (BLANK)
    139612 ABC 12/11/2017

    Currently in “RESULT FROM WS B”
    =IFERROR(INDEX(CM_12!$B$2:$B$602,MATCH(CREDIT_MEMO_ACCRUAL_MASTER!B2&CREDIT_MEMO_ACCRUAL_MASTER!F2,CM_12!$D$2:$D$602&CM_12!$F$2:$F$602,0)),0)

    The trouble is this:
    WS B has reoccuring original invoice date and sku. In other words – invoice 139612 on credit date 11/30/2017 may have several different “original invoice dates” and 10 returned skus, therefore show up in 10 different rows.
    WB S:
    Invoice # Original invoice date Credit date SKU
    139612 08/08/2017 11/30/2017 1234
    139612 08/21/2017 11/30/2017 5678
    139612 08/30/2017 11/30/2017 1234

    I need a formula that will recognize the exact original invoice date for an invoice # and sku. Currently my index/match as you know only results in the first instance.

    I tried your index/small/if formula but it didnt work for me. index/small/if is very new to me so I am sure i was doing it wrong somewhere.

    I really hope you can help!
    Happy New Year!

  33. Hi All,

    Great post, which I come back to multiple times !!

    Can anyone explain to me how to amend the formula when you want to either exclude (e.g. all the lines NOT concerning DAS HOFF) rather than select a certain value, or when you want to allow more than one value (e.g. the lines where DAS HOFF is linked to US or UK)

    Thanks for your help.

    Geert.

  34. Great post!

    How do I get the output of the multiple occurrences into another coloum instead of on the same row?

    Thanks

  35. Thanks for the aide. I have been using this formula but the step by step explanation you have given makes me understand now completely the inside chemistry as to what is happening. Keep it up.

  36. Hi Chandoo

    I’ve replicated your exact spreadsheet and it works perfectly, thanks! For my actual application, I’m using a Named Table where:

    $B$1:$B$20 = Chandoo[PointlessThing]
    $A$1:$A$20 = Chandoo[Person]

    Replacing the fixed cell references with the Table[Column] values the array formula produces an output that is one cell below what the actual value is. For example, if my lookup value is Das Hoff with the named table I get Amnesiac, Raging, Limb King, Krautrock, Erasing. When I just use the cell references I get Talented, Knightrider, Baywatcher, SpongeBob, Krautrock. As you can see, outputs when using the named table are actually one row below the intended output.

    I’ve varied the formula, from completely deleting the -2 in …ROW()-2, to trying 0-3. I can never get the named table formula to output the same results as the cell reference formula.

    I’ve noticed the lateral distance doesn’t matter, only the relative horizontal distance, so for that reason my named table formula starts in cell E3, referencing E2 as the lookup value, and my cell reference formula starts in cell G3, referencing G2 as the lookup value. The Person/PointlessThing columns begin at A1 and B1. The table is named “Chandoo.” So my named table references are Chandoo[Person] and Chandoo[PointlessThings].

    As a final note, I’m using data validation, referencing the Person column of the named table as my lookup values in cells E2 and G2.

    1. So I retried the formula with dragging ranges (which automatically populates the range name) and I got this:

      =IFERROR(INDEX(Chandoo[[#All],[PointlessThing]],SMALL(IF(Chandoo[[#All],[Person]]=$F$3,ROW(Chandoo[[#All],[Person]])),ROW()-2),1),””)

      And it works!

      Originally I was hand typing it to make sure I got it all right and was entering this:

      =IFERROR(INDEX(Chandoo[PointlessThing],SMALL(IF(Chandoo[Person]=$F$3,ROW(Chandoo[Person])),ROW()-2),1),””)

      As you can see, I was missing [#All] preceding the column reference.

      That said, this also works when referencing another sheet in the workbook, as long as the relative positions stay the same.

      What I’ve run into now is this: Where I want the multiple occurrences to appear are ‘Visit Tear Sheet!F12:F16’

      The drop-down data validation is Visit Tear Sheet!F8

      The table location is ‘Visit Log’B49:C148

      I’ve kinda buried the table at the bottom of a spreadsheet because I don’t want non-tech saavy users to easily find it and screw it up. I know I could let it rest on a separate sheet starting at A1 like our sample data set, but I’m trying to keep the number of sheets to a minimum to keep the weight of the file down.

  37. Have you ever had to do this using Power Query? Or, know of a way to do something similar, but using Power Query? I have a huge workbook that uses a method similar to yours, but it’s way to slow using the SMALL and ROW formula so I’m trying to speed it up, but by using PQ. Thank you so much in advance for any help!

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