I'm writing code to automatically generate shifts for my workers.
There are several constraints I've already been able to create:
Each shift in a day is assigned to a single worker
Each worker can't work more than 8h per day
Each worker should work [#minShifts, #maxShifts] hours per week
Each worker can't work on different rooms at the same moment
Each worker can't work on more than 2 different rooms in a day
So far so good; now I'm facing another constraint I can't really think how to code: each worker can't work on more than 2 different ranges in a day.
What I mean is I don't want a person to work (e.g.) 08.30-10.30, 12.30-13.30 and 16.30-18.30, but limit assigned ranges at two.
Given that I have shifts[numWorkers, numDays, numShifts], how can I arrange this constraint?
If you stay with these variables for each block of two hours [8AM shift, 9AM shift],
create a boolvar that is true is the first shift is ON and the second is OFF
end_of_shift = model.NewBoolVar('')
model.AddBoolOr([first_shift.Not(), second_shift, end_of_shift])
model.AddImplication(end_of_shift, first_shift)
model.AddImplication(end_of_shift, second_shift.Not())
# then for each day and each worker:
model.Add(sum(end_of_shifts) <= 2)
Related
I need to make an application which shows the current exchange meeting rooms and for each room whether the hour is free or busy. The user can give a daterange of max 5 days to see the result.
I have made a construction but it 2 slow to use as it takes up to 3 seconds to get all the information from only 3 meeting rooms (while in the future it will be more around 20).
This is how I work:
Authenticate through AutodiscoverUrl function: service.AutodiscoverUrl(email, password).
After been given a startdate and enddate with 5 days in it, I first get all the available meetingrooms with service.GetRooms("room#roomlist.com")
I iterate through the found meetingrooms and use the function service.GetUserAvailability(room,...) to get the calenderevents.
Then I have a class which tells me the hours of the day and I check the found calenderevents of the room to see whether an hour is busy or not.
Now I have my collection of rooms with calenderevents and the indication whether an hour is busy or not.
But is there another, faster way? As said this takes up to 2/3 seconds for only 3 rooms in a daterange of 5 days.
Are you calling the GetUserAvailability request for each room, as you iterate through, or batching the users together? The availability call can return info on multiple users (100 is the hard limit I recall). It's likely one big call will be more efficient than multiple single calls.
I am given a csv of employee schedules with columns:
employee ID, first last name, sunday schedule, monday schedule, ... , saturday schedule
1 week schedule for each employee. I've attached a screenshot of a portion of the csv file. The total file has around 300 rows.
I need to generate teams of 15 based on the employees' schedules (locations don't matter) so that the employees on each team have the closest schedules to each other. Pseudocode of what I have tried:
parse csv file into array of schedules (my own struct definition)
match employees who have the same exact schedule into teams (creates ~5 full sized teams, 20 - 25 half filled teams, leaves ~50 schedules who don't match with anyone)
for i = 1 to 14, for each member of teams of size i, find the team with the closest schedule (as a whole) and add the member to that team. Once a team reaches size 15, mark them as "done".
This worked somewhat but definitely did not give me the best teams. My question is does anyone know a better way to do this? Pseudocode or just a general idea will help, thanks.
EDIT: Here is an example of the formula of comparison
The comparison is based on half hour blocks of difference between the agents schedules. Agent 25 has a score of 16 because he has a difference of 8 half hours with Agent 23 and 24. The team's total score is 32 based on everyone's scores added together.
Not all agents work 8 hour days, and many have different days off, which have the greatest effect on their "closeness" score. Also, a few agents have a different schedule on a certain day than their normal schedule. For example, one agent might work 7am - 3pm on mondays but work 8am - 4pm on tuesday - friday.
Unless you find a method that gets you an exact best answer, I would add a hill-climbing phase at the end that repeatedly checks to see if swapping any pair of agents between teams would improve things, and swaps them if this is the case, only stopping when it has rechecked every pair of agents and there are no more improvements to be made.
I would do this for two reasons:
1) Such hill-climbing finds reasonably good solutions surprisingly often.
2) People are good at finding improvements like this. If you produce a computer-generated schedule and people can find simple improvements (perhaps because they notice they are often scheduled at the same time as somebody from another team) then you're going to look silly.
Thinking about (2) another way to find local improvements would be to look for cases where a small number of people from different teams are scheduled at the same time and see if you can swap them all onto the same team.
Can't say for sure about the schedules, but in string algorithms you can find an edit distance calculation. The idea is to define number of operations you need to perform to get one string from another. For example, distance between kitten and sitting is 3, 2 for substitutions and 1 for deletion. I think that you can define a metric between two employees' schedule in similar way.
Now, after you have a distance function, you may start a clusterization. The k-means algorithm may be a good start for you, but it's main disadvantage is that the number of groups is fixed initially. But I think that you can easily adjust general logic for your needs. After that, you may try some additional ways to cluster your data, but you really should start with your distance function, and then simply optimize it on your employee records.
We are building a visitor parking permit system, the permits have start and end datetime and are linked to a resident.
An overnight is defined as completely crossing a hour range not just the midnight mark. For example, if the parking permit crosses 10PM to 2:00AM or 2:00AM to 4:00AM then it's considered an overnight parking, this is customizable depending on how the system is configured.
I'm really having some trouble designing and writing the logic for this, any help would be appreciated. The follow diagram shows what I want to count. Black horizontal line is the length of the parking permit and then red line is the hour range.
The first parking permit uses 4 nights of parking and the second permit uses 6 nights.
Please note that all the hour range are the same for every day of the week, i used paint so the red lines aren't all the same.
so you have resident, permit, and overnight tables. The permit table has the resident as a FK and a start and end datetime. the overnight table has a start time and end time, assuming 'Overnight' is defined the same way each day of the week.
Then to determine if a permit spans an overnight range, you check if
permitBegin <= overnightEnd AND permitEnd >= overnightBegin.
Is that the kind of help you're looking for?
I'm facing a problem and Im having problems to decide/figure-out an approach to solve it. The problem is the following:
Given N phone calls to be made, schedule in a way that the maximum of them be made.
Know Info:
Number of phone calls pending
Number callers (people who will talk on the phone)
Type of phone call (Reminder, billing, negotiation, etc...)
Estimate duration of phone call type (reminder:1min, billing:3min, negotiation:15min, etc...)
Number of phone calls pending
Ideal date for a given call
"Minimum" date of the a given call (can't happen before...)
"Maximum" date of the a given call (can't happen after...)
A day only have 8 hours
Rules:
Phone calls cannot be made before the "Minimum" or after the "Maximum" date
Reminder call placed award 1 point, reminder call missed -2 points
Billing call placed award 6 points, billing call missed -9 points
Negotiation call placed award 20 points, Negotiation call missed -25 points
A phone calls to John must be placed by the first person to ever call him. Notice that it does not HAVE TO, but, that call will earn extra points if you do...
I know a little about A.I. and I can recognize this a problem that fits the class, but i just dont know which approach to take... should i use neural networks? Graph search?
PS: this is not a academic question. This a real world problem that im facing.
PS2: Pointing system is still being created... the points here sampled are not the real ones...
PS3: The resulting algol can be executed several times (batch job style) or it can be resolved online depending on the performance...
PS4: My contract states that I will charge the client based on: (amount of calls I place) + (ratio * the duration of the call), but theres a clause about quality of service, and only placing reminders calls is not good for me, because even when reminded, people still forget to attend their appointments... which reduces the "quality" of the service I provide... i dont know yet the exact numbers
This does not seem like a problem for AI.
If it were me I would create a set of rules, ordered by priority. Then start filling in the caller's schedule.
Mabey one of the rules is to assign the shortest duration call types first (to satisfy the "maximum number of calls made" criteria).
This is sounding more and more like a knapsack problem, where you would substitute in call duration and call points for weight and price.
This is just a very basic answer, but you could try to "brute force" an optimum solution:
Use the Combinatorics library (it's in NuGet too) to generate every permutation of calls for a given person to make in a given time period (looking one week into the future, for instance).
For each permutation, group the calls into 8-hour chunks by estimated duration, and assign a date to them.
Iterate through the chunks - if you get to a call too early, discard that permutation. Otherwise add or subtract points based on whether the call was made before the end date. Store the total score as the score for that permutation.
Choose the permutation with the highest score.
In my application, I have used the number of System.Threading.Timer and set this timer to fire every 1 second. My application execute the thread at every 1 second but it execution of the millisecond is different.
In my application i have used the OPC server & OPC group .one thread reading the data from the OPC server (like one variable changing it's value & i want to log this moment of the changes values into my application every 1 s)
then another thread to read this data read this data from the first thread every 1s & second thread used for store data into the MYSQL database .
in this process when i will read the data from the first thread then i will get the old data values like , read the data at 10:28:01.530 this second then i will get the information of 10:28:00.260 this second.so i want to mange these threads the first thread worked at 000 millisecond & second thread worked at 500 millisecond. using this first thread update the data at 000 second & second thread read the data at 500 millisecond.
My output is given below:
10:28:32.875
10:28:33.390
10:28:34.875
....
10:28:39.530
10:28:40.875
However, I want following results:
10:28:32.000
10:28:33.000
10:28:34.000
....
10:28:39.000
10:28:40.000
How can the timer be set so the callback is executed at "000 milliseconds"?
First of all, it's impossible. Even if you are to schedule your 'events' for a time that they are fired few milliseconds ahead of schedule, then compare millisecond component of the current time with zero in a loop, the flow control for your code could be taken away at the any given moment.
You will have to rethink your design a little, and not depend on when the event would fire, but think of the algorithm that will compensate for the milliseconds delayed.
Also, you won't have much help with the Threading.Timer, you would have better chance if you have used your own thread, periodically:
check for the current time, see what is the time until next full second
Sleep() for that amount minus the 'spice' factor
do the work you have to do.
You'll calculate your 'spice' factor depending on the results you are getting - does the sleep finishes ahead or behind the schedule.
If you are to give more information about your apparent need for having event at exactly zero ms, I could help you get rid of that requirement.
HTH
I would say that its impossible. You have to understand that switching context for cpu takes time (if other process is running you have to wait - cpu shelduler is working). Each CPU tick takes some time so synchronization to 0 milliseconds is impossible. Maybe with setting high priority of your process you can get closer to 0 but you won't achive it ever.
IMHO it will be impossible to really get a timer to fire exactly every 1sec (on the milisecond) - even in hardcore assembler this would be a very hard task on your normal windows-machine.
I think first what you need to do: is to set right dueTime for a timer. I do it so:
dueTime = 1000 - DateTime.Now.Milliseconds + X; where X - is serving for accuracy and you need select It by testing. Then Threading.Timer each time It ticks running on thread from CLR thread pool and, how tests show - this thread is different each time. Creating threads slows timer, because of this you can use WaitableTimer, which always will be running at the same thread. Instead of WaitableTimer you can using Thread.Sleep method in such way:
Thread.CurrentThread.Priority = Priority.High; //If time is really critical
Thread.Sleep (1000 - DateTime.Now + 50); //Make bound = 1s
while (SomeBoolCondition)
{
Thread.Sleep (980); //1000 ms = 1 second, but something ms will be spent on exit from Sleep
//Here you write your code
}
It will be work faster then a timer.