Let's say I have 5 orders and 3 drivers. I want to maximize the amount of miles they have on the road. Each driver has times that they're available to drive and orders have times that they're able to be picked up at.
Ideally, I would like to be able to plan subsequent orders in one go, rather than writing multiple models at once. My current iteration is to write multiple models that give output and subsequent models take those as inputs. How can you write this as a singular LP model?
O = {Order1, Order2, Order3, Order4, Order5}
D = {Driver1, Driver2, Driver3}
O_avail = {2 pm, 3pm, 230 pm, 8pm, 9pm, 12 am}
D_avail = {2pm, 3pm, 230pm}
Time_to_depot = {7 hours,5 hours,2 hours,5 hours,3hours, 4hours}
constraints
d_avail <= o_avail
obj function
max sum D_i*time_to_depot_i
I laid it out in such a way that driver 1 takes order 1, order 5 and order6. Driver 2 takes order 2 and order 4.
Related
I am attempting a trajectory analysis in SAS (proc traj).
Following instructions found online, I first begin by testing two quadratic models, then three, then four (i.e., order 2 2, order 2 2 2, order 2 2 2 2, order 2 2 2 2 2).
I determined that a three-group linear model is the best fit (order 1 1 1;)
I then wish to add time stable covariates with the risk command. As found online, I did this by adding the start parameters provided in the Log.
At this point, I receive a notice: "Incorrect number of start values. There should be 10 start values based on the model specifications.").
I understand that it's possible to delete some of the 12 parameter estimates provided - But how do I select which ones to remove?
Thank you.
Code:
proc traj data=followupyes outplot=op outstat=os out=of outest=oe itdetail;
id youthid;
title3 'linear 3-gp model ';
var pronoun_allpar1-pronoun_allpar3;
indep time1-time3;
model logit;
ngroups 3;
order 1 1 1;
weight wgt_00;
start 0.031547 0.499724 1.969017 0.859566 -1.236747 0.007471
0.771878 0.495458 0.000000 0.000000 0.000000 0.000000;
risk P00_45_1;
run;
%trajplot (OP, OS, "linear 3-gp model ", "Traj of Pronoun Support", "Pron Support", "Time");
Because you are estimating a model with 3 linear trajectories, you will need 2 start values for each of your 3 groups.
See here for more info: https://www.andrew.cmu.edu/user/bjones/example.htm
I have a Google Sheet which is being populated by a Google Form. I am using Google Apps Script to add some extra functionality. Please feel free to access and modify these as needed in order to help.
Based on answers from the Form, I need to return a new date that factors in the time stamp at form submission.
This is a dumbed down example of what I need to do, but let's think of it like ordering a new car and its color determines how long it is going to take.
Car
Color
Toyota
Red
Honda
Blue
Tesla
Green
I need to write a conditional IF statement that determines how many weeks it will take to get the car based on the ordered color.
-
Red
Blue
Green
Toyota
1
3
5
Honda
2
4
6
Tesla
1
1
1
So if you order a Toyota in Red, it will take one week. If you order a Toyota in Green, it will take 5 weeks. If you order a Tesla, it will be really in one week no matter what color. Etc...
I started by writing some language in Sheets to take the Timestamp which is in Column A and add the appropriate amount of time to that:
=IFS(AND(B2 = "Toyota",C2 = "Red"),A2 + 7,AND(B2="Toyota",C2="Blue"), A2 + 21,AND(B2="Toyota",C2="Green"), A2 + 35,AND(B2 = "Honda",C2 = "Red"),A2 + 14,AND(B2="Honda",C2="Blue"), A2 + 28,AND(B2="Honda",C2="Green"), A2 + 42,AND(B2 = "Tesla"),A2 + 7)
And then I dragged that down the length of the entire column so that it would fill in as submissions came in.
However when you fill in the Google Form, it will overwrite what's in that entire row, blowing out what I had in that column.
Now I realized that the code needs to be written in Google Apps Script and returned as a value.
What kinds of modifications need to be made to my IFS statement in order to make it compatible with Google Apps Script?
For easier approach, QUERY would actually solve your issue without doing script as Broly mentioned in the comment. An approach you can try is to create a new sheet. Then have that sheet contain this formula on A1
Formula (A1):
=query('Form Responses 1'!A:C)
This will copy A:C range from the form responses, and then, copy/paste your formula for column Date Needed on column D.
Output:
Note:
Since you only copied A:C, it won't affect column D formula.
Your A:C in new sheet will update automatically, then the formula you inserted on D will recalculate once they are populated.
Add IFNA on your formula for column D to not show #N/A if A:C is still blank.
Formula (D2):
=IFNA(IFS(AND(B2 = "Toyota",C2 = "Red"),A2 + 7,AND(B2="Toyota",C2="Blue"), A2 + 21,AND(B2="Toyota",C2="Green"), A2 + 35,AND(B2 = "Honda",C2 = "Red"),A2 + 14,AND(B2="Honda",C2="Blue"), A2 + 28,AND(B2="Honda",C2="Green"), A2 + 42,AND(B2 = "Tesla"),A2 + 7), "")
I'm working with call center data and looking to calculate the average ring time of calls while removing the highest 20% of ring times. I assume I'll need to use PERCENTILEX.EXC embedded somewhere in AVERAGE, but I'm not quite sure where, or if I'm totally off base. 2 other caveats on this are that there are calls answered immediately (queue time = 0) which have to be counted in the average time and only data where the disposition column = Handled are used.
Example:
The Aborted and Abandoned call would be filtered out. Of the remaining calls, the top 20% of queue times (the 14,9, 6, and one of the 5s) would be eliminated and the average would be 3 seconds.
Appreciate any help on this!
I would do it like this:
VAR totalRows = COUNTROWS(FILTER(table, table[disposition] = "Handled"))
VAR bottomN = ROUNDDOWN(totalRows * .8, 0)
RETURN AVERAGEX(TOPN(bottomN, FILTER(table, table[disposition] = "Handled"), table[queue time], ASC),table[queue time])
I am working on a real estate cash-flow simulation.
What I want in the end is a time series where everyday I report if the property is vacant, leased and if I collected rent.
In my present code, I create first a profit array with values of "Leased", "Vacant" or "Today you collected rent of $1000", so I used this to create my time series:
rng=pd.date_range('6/1/2016', periods=len(profit), freq='D')
ts=pd.Series(profit, index=rng)
To simplify, I assumed I collected rent every 30 days. Now I want to be more specific and collect it every 5th day of the month (for example) and be flexible on the day the next tenant will move in.
Do you know commands or a good source where I can learn how to iterate from month to month?
Any help would be appreciated
You can build a sequence of dates using date_range and .shift() (freq='M' is for month-end frequencies) with pd.datetools.day like so:
date_sequence = pd.date_range(start, end, freq='M').shift(num_of_days, freq=pd.datetools.day)
and then use this sequence to select dates from the DateTimeIndex using
df.loc[date_sequence, 'column_name'] = value
Alternatively, you can use pd.DateOffset() like so:
ts = pd.date_range(start=date(2015, 6, 1), end=date(2015, 12, 1), freq='MS')
DatetimeIndex(['2015-06-01', '2015-07-01', '2015-08-01', '2015-09-01',
'2015-10-01', '2015-11-01', '2015-12-01'],
dtype='datetime64[ns]', freq='MS')
Now add 5 days:
ts + pd.DateOffset(days=5)
to get:
DatetimeIndex(['2015-06-06', '2015-07-06', '2015-08-06', '2015-09-06',
'2015-10-06', '2015-11-06', '2015-12-06'],
dtype='datetime64[ns]', freq=None)
I’m trying to solve a linear programing model and need some help. I’m not a programming expert, but I conceptually can draw up the problem and am hoping for some help implementing it.
I’m looking into an asset allocation problem for an investment portfolio from a theoretical perspective, but for simplicity of this post I’m going to use generic terms.
I have a list of 500+ choices that all have an assigned cost and value add. My goal is to maximize the sum of the value add, given a constraint on how much I can spend. These 500 choices are divided into 5 categories and there are restrictions on how many choices I can have from each category.
Category 1 = 1
Category 2 = 1
Category 3 = 2 or 3
Category 4 = 1 or 2
Category 5 = 2
Category 3 + Category 4 = 4
I figure I’ll need to use a binary X variable attached to each choice and 1 means I’m picking that choice and 0 doesn’t so in the end there should be 8 variables that have 1 and the rest have a 0 value that leads to the maximum value add given the constraints on cost each choice has.
I ultimately hope to be able to run and say for example “what is the nth highest value” so instead of getting the maximum value add I can get the second highest value add and so on.
Is this possible and what software/language would be best to do it? Thanks for your help!
Just to simplify writing everything down, let's assume you had 15 assets, with value added v_1, v_2, ..., v_15 and costs c_1, c_2, ..., c_15. Let's assume assets 1, 2, and 3 are in category 1, assets 4, 5, and 6 are in category 2, assets 7, 8, and 9 are in category 3, assets 10, 11, and 12 are in category 4, and assets 13, 14, and 15 are in category 5. Finally, let's assume a budget B.
We would create binary variables x_1, x_2, ..., x_15 to indicate whether we bought each asset. Now, the objective function of our integer program is:
max v_1*x_1 + v_2*x_2 + ... + v_15*x_15
Our budget constraint is:
c_1*x_1 + c_2*x_2 + ... + c_15*x_15 <= B
Exactly one choice from category 1:
x_1 + x_2 + x_3 = 1
Exactly one choice from category 2:
x_4 + x_5 + x_6 = 1
Either 2 or 3 choices from category 3:
x_7 + x_8 + x_9 >= 2
x_7 + x_8 + x_9 <= 3
Either 1 or 2 choices from category 4:
x_10 + x_11 + x_12 >= 1
x_10 + x_11 + x_12 <= 2
Exactly 2 choices from category 5:
x_13 + x_14 + x_15 = 2
Exactly 4 choices from categories 3 and 4 combined:
x_7 + x_8 + x_9 + x_10 + x_11 + x_12 = 4
Finally, you would specify all variables to be binary.
Note that the only adjustment you would need to your problem is to change the variables in each of these constraints to be the variables associated with each of your five categories.
All that remains would be to implement the model. There are a myriad of linear programming packages in all major languages; check out this survey for details. Since Stack Overflow is not a software recommendation site and you haven't really given any details about your situation (e.g. free vs. non-free solvers or the programming language you're using), I will refrain from suggesting a particular package.