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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65 Responses to “Make Dynamic Dashboards using Pivot Tables & Slicers [Video & Download]”

  1. claudia says:

    WOW, is all I can say.

    I could not have imagined a dynamic dashboard without getting approved software budget and a team of people involved to create it. Given that I am a relative newbie to excel and actually got here by looking for pivit table help, I imagine that i would not be able to make anything myself. But armed with the demo excel sheet I will press buttons (and I will report back how that went;-)

    Claudia

  2. winston says:

    Good stuff Chandoo, thanks
    The slicer buttons take up quite a bit of room on the dashboard
    Is there a way to make the buttons smaller so we can have more room for charts, tables, and commentary?

    Kind regards,
    Winston

    • Jova says:

      You can resize the slicers! When you click the slicers you can change the height and width of columns and slicers. You can also, under slicer style click "New slicer style" where you can define your own style, which enables you to change most things, including font size.

  3. Gregory says:

    I hadn't seen the Group Option used as you did for the Duration PivotTable. And thanks for showing how to remove the Field Buttons on a PivotChart, I loathe them with all my heart.

    Fantastic design and a great dashboard.

  4. Chandoo says:

    @Claudia.. I am glad you like it. Do let us know how your adventures go.

    @Winston: You can resize slicers or increase the number of columns inside. Unfortunately, we can not readjust the font sizes in slicers. So when you resize, you will see partial text.

    @Gregory: Thank you. I am happy you like it 🙂

    • kris says:

      Hi Chandoo, your dashboards are really professional and simple. I do have some question, if I have the following scenario, could you help to advise : -different data sources eg monthly
      -calculations percentile
      -%difference between financial year

      Thank you so much!

  5. Divya says:

    Hi,

    Thanks for your great information.It has helped me a lot.
    Now,I can build my excel addin for Excel 2010 better with your tips.

  6. Istiyak says:

    Hi chandoo i am new reader for ur site.and really found good stuff and temp. But i suggest u 2 put a guidance step sheet in temp so anyone can understand easily.and also help me to become awesome as ur noume.

  7. Stevros says:

    Chandoo, Wow these are very powerful reports. I will be implementing them straight away. It will save me hours of work. Thankyou so much.

  8. Paul Avenell says:

    Hi Chandoo,

    I love the Slicer, but how do I link a slicer for different data sheets e.g.: Client data on one tab and products on another tab, as I find that as long as you use pivot tables off the same data you can link the Pivot tables using Slicer connections.

    Regards
    Paul

  9. Vivek says:

    I appreciate the work you have posted on your website - very informative and easy to understand. I just wanted to inform you that you can make selections within the slicer too by using Ctrl and selecting the fields you want to group and use as filter.

    I had a question regarding the data used in pivot tables. Is there a way to update the data (eg. a new customer entry) and have the pivot tables and the linked charts in dashboard automatically update? I will search for the answer in other posts so ignore if you have covered it elsewhere.

    Thanks again and keep up the good work.

    -Vivek

  10. Brij Arora says:

    Dear All,

    Me too is a die hard fan of Slicer. it's requirement was arise when management is feeling it difficult to juggle with filters for sales of a particular location, Product Category in Pivot Table.

    Got very positive response when introduced to tackle the above situation. furthermore in slicer setting there would be option to enable or disable deleted data is handy for particular scenario.

    These are eye catching color themes would be like icing on the cake.

    There is one more feature of excel 2010 which proves to be tool for great time saving is "Repeat Labels" in Pivot Tables.

  11. Katherine says:

    This is fantastic!! Your steps were super to easy follow. I can't wait to show my new dashboard off to the boss. Thank you so much!

  12. Van says:

    This might be a little unrelated but I'd like to know which software was used to record your on screen actions? I'd like to use it for tutorials on models that I build for my customers. Thanks!

  13. DV says:

    The slicers are coming in a sorted order... How can i get it in the way it appears in my original data.... The settings show to sort them A to Z or the other way round but they are option boxes and can not be unchecked... What are my options????

  14. Duncan Williamson says:

    I watched the video and then worked through an example of my own, also telephone costs by coincidence. It took me about 30 minutes to do everything. Once you've understood the basics of pivot tables and slicers, all that limits you is your imagination!

    The only thing missing from the video is now to change the number of columns in a slicer: Right click a slicer then Size and Properties, Position and Layout, Layout, Number of Columns ...

    Good page and video.

    Duncan 

  15. soycharnichart says:

    How do you insert 'Year' in the Pivot Table Field List if it doesnt exist in the Master table???

    Thanks 

  16. Manu says:

    Hi,

    Can I disable the multi-selection of the slicer to only allow one selection at a time?

    Thanks in Advance    

    • Chandoo says:

      @Manu.. as of Excel 2013, this is not supported yet. But you can remove slicer heading, clear filter button and style it so that it looks like a single selection. You can also use Macros to ignore previous selection upon multiple selection, but I would not recommend it.

      For an example on styling see - Interactive Pivot Calendar

  17. Devin says:

    Awesome guide!  The dashboard I made blew people away.  I do have one question.  I want the chart title to match what I have selected.  How can I do this without writing macros?

    • Hui... says:

      @Devin
      Lets say what you have selected in in A1
      Select the Chart then Select the Title
      Click in the Formula Bar and type =A1
      enter or click the small arrow to the left of the Formula Bar
      Enjoy

  18. Johnny says:

    Love the slicers and use them often in my dashboards.  Question about the data (specifically the date)  I see the "date of call" column but was wondering how were you able to filter on slicers by year and month when there is only a date of call entered into the data?

    Thanks for your help! 

  19. Jet Copeland says:

    Thanks for taking the time to create this interesting and very useful tutorial!
    I was able to create a similar dashboard in a short time after watching your tutorial. The problem I am having now is how to update the pivot tables and dashboard graphs when a change is made in the raw data. I tried two methods; Change data Source and Refresh. When I used Change Data Source (Options-> Change data source) the values in the pivot tables didn't update. When I tried refresh the values in the pivot tables disappeared as well as the information in the graphs, since the data in the pivot tables no longer existed.
    I have been searching for a solution for a while now but I have unfortunately not been able to solve this problem yet. Any help someone can provide is GREATLY appreciated.
    All the best 

  20. Nigel says:

    Hi, looks great, but how valuable is power view when it comes to financial data? I've been having trouble trying to visualize how I would use power view to report of financial data.

  21. Snooky says:

    Hi Chandoo, you are awesome! Thanks for the good work!

  22. beth says:

    there is duplication for my slicer, probably cause i choose date, time as my options. i changed it to date but still theres a duplication of the same date

  23. Alex Cardoso says:

    Just Great! Thank you for the time to put this together and teach us.

    Alex Cardoso from Indaiatuba, Brazil.

  24. jose says:

    First of all I would like to thank you guys for this post I used this amazing tool with the help of your tutorial to create a dashboard for one single account and my regional manager said "good job, it looks very profesional" she was so impresed that now she wants one daschboard with all the acounts and services she is going to replace her KPI reports with my report !! I smell a promotion!! My demand was a new laptop with MS 2010 and it was granted. now I have allot of work and many many questions to post .. kudos

  25. krishna prasad says:

    Hi Chandoo

    I want to say thanks first because i loved ur tutorials

    i have a small doubt how to insert slicer from external connections

    i searched every where could you please explain how to insert a slicer from external source

  26. Jyothi says:

    Hello Chandoo,

    How to get rid of the > items in Months slicer?

    They are appearing when there is a grouping on the date field in pivot

    Thanks

  27. Emma says:

    Hi Chandoo,

    One problem always bothers me when i use slicer. I have no idea aobut how to change the number format in slicer. Want to display number in slicer as general format, but it always displays other number format such as date.
    I check my source data and it doesn't effect the number format.

    Look forward you or any EXPERTS to solve it. Thanks very much!

    In the end, This website is awesome!!!

    • Sunil says:

      Hi Emma,

      Were you able to resolve your query? I have a similar problem. I use Excel 2013 and the field I'm dropping into the slicer is a currency field ($1.00, $1.05, $1.10 etc.) representing the exchange rates that the user can choose from. The items in the slicer revert back to general format (1, 1.05, 1.1, etc.) although the source field is formatted as currency field. Is there a way to fix this?

      • Chandoo says:

        @Sunil & Emma: You can create a new column in your raw data which has currency as text, using the TEXT formula like this =TEXT(currency_val, "$#,##.00"). Use this column to create the slicer.

        • Sunil says:

          Thanks for the response Chandoo. It works as you suggested. However, if the users were to pick more than one item in the window I'd like to know what is the max value and utilise that value in a DAX formula.
          Also... there is no issue if I were to throw a slicer over a normal pivot. The trouble comes when I choose the 'Add this data to the Data Model' option which I need for the PowerPivot.

  28. Jonas says:

    Hi Chandoo (Or others)

    Is there a way to make the color change, when the value changing after the use of a slicer?

    Lets say the value is 4,5, when i press the slicer, and the value change to 3,5 i would like the color to change. Can anyone help?

    Thank you.

  29. Burendei says:

    Hi Chandoo,

    It was very useful video for me. Thanks.
    But I have one question to ask.
    How can I connect data which is growing in size (rows, records) by time (daily, monthly etc.) to this kind of dashboard?
    Or it is only on select number of data?

    Thank you.

  30. Angela says:

    Chandoo zindabad!

  31. Angela says:

    Hi Chandoo,
    I have been able to create something similar quite easily. The problem that I am facing is that I want to keep the Top 10 filters permanently. If I select one option and then clear the filter, the chart removes the Top 10 filter; I want it to go back to Top 10 filter.

    Is there a solution to this problem?
    Regards

    • Federico says:

      Thanks a lot for the tutorial and for the demo file!
      I have the same problem of Angela: after clearing the filter applyed on P1, the filter on P1 shows all the customers without filtering top 10 (as it was before).
      Thanks!

      Federico

      • Justin says:

        Go to your pivot table, right-click and choose "pivot table options." On the "Totals & Filters" tab check "Allow multiple filters per field."

        • Federico says:

          Justin, thank you so much!
          now after clearing the filter applyed on P1, the filter on P1 shows again top 10 customers.

  32. Roger says:

    Chandoo!
    Just find out your website, I´ll follow your tutorials from now, very useful!
    Great thanks from Brazil!!!

  33. Priya Ranjan says:

    Very useful. Learned a new skill today. Thanks a ton!

  34. Manav says:

    Hi Chandoo,

    This is fantastic! It's going to really help me with some operational reports I develop regularly. Two questions I'm hoping you can answer for me:

    1. How can I use one slicer to manipulate two different pivot charts that came from two different pivot tables?
    2. If I have a slicer in an excel and share that with someone who is on older versions of Excel - what will it look like to them?

    thanks!

  35. Elisa says:

    Hello Chandoo!
    I love the dashboards and have been able to make quite a few, my puzzle is when I am connecting the pivot charts to the slicers, I have to do each individual one and check every single slicer (usually I have about 12, so I end up having to check the 12 check boxes 12 times to connect everything) am I missing something? Is there an easier way to do this?

    Thanks!
    elisa

  36. Hama says:

    Hello Chandoo,

    You make my life easier, am in love withe the slicers!

    I greatly appreciate

    Thanx

    Hama

  37. […] Slicers.  Easy for me to do, but not as easy to explain how I did it.  Fortunately, Chandoo has a Make Dynamic Dashboards using Pivot Tables & Slicers video and download that will do the job nicely.  Suffice it to say it took me <3 minutes to put […]

  38. @jitkumar56 says:

    thank you very much..... 🙂

  39. Jimbo says:

    You are a legend!! Thank you so much - very clear, very helpful indeed.

  40. Shahid says:

    nice player...

    i like to play like chandoo sir.

    i learn somthing about slicer by watching posts.

    it was too difficult to watch and easy to prepare..

    thank you boss.

    God Bless You

  41. MFAC93 says:

    Hi,

    I've built a dashboard on Excel 2010 using Pivot tables and slicers.

    What I would like to do now is duplicate the dashboard on another tab, having it extract from another data source (format is identical to the 1st data source).

    I'm extracting the same metrics, but each data sources measure different product lines.

    Could anyone help me out?

    Thanks in advance,
    M

  42. Vicky says:

    Thank you so much. I learned so much about the slicer because of the video. Just got a quick question. Say I got 100+ Customer name bottons in one of the slicer, and it is time consuming to scroll up and down to find the one to select. Is there anyway I can set in the slicer setting that when I type "E", it automatically take the selectionto to where all the "E" starts? Thanks

  43. TL says:

    Hi there,

    This looks great - is there a way I can use it to compare vs budget, forecast? Is it just a case of renaming one of the field Comparison with the data being "Actual, Budget, Forecast"?

    Thanks!

  44. an irany says:

    hello master!
    please help me.
    i am looking for many file example for Dashboard, but because my English is weak i couldnt fint it in hear.
    please help me.
    thankyou so much.

  45. Ikram Siddiqui says:

    Dear Excel Guru,

    Hope everything is fine with you?

    Can you please help in this Logic, it is a thought only to increase my knowledge SIR?

    Please note that I have been working in Excel file contains two times of our teammates who claims overtime an each calendar month

    My excel file as like this :-

    ROW 1 Days of Month
    ROW 2 Date of Month

    Cell -1 [Time IN(06:00Hrs)], cell -2 [Time OUT(15:30Hrs)] no break in our factory and anything after Eight hours assume as overtime as standard in all across.

    Appreciate if you could help me in providing the best an Exclusive Excel formula to calculate each day overtime excluding staff eight hours regular duty and Friday consider as full day overtime.

    Kindly help me at the earliest convenience.

    awaiting for your expertise.............

    Best Regards / Ikram Siddiqui

  46. Lav Mishra says:

    Thank you for video , will you please provide pivot table with header and sub header like year main header and under that three sub header. How to make dashboard for that.

  47. Praful Patil says:

    Dear Sir,

    How to seperate amount, mention in remarks.

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