# Questions tagged [scheduling]

For questions about methods that assign resources to work requests (e.g. processor time to tasks) usually minimizing some cost measure (e.g. makespan).

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### Assignment/scheduling how to formulate considering job time and job cost

I have the following problem that I do not know how to formulate. There are a fixed number of workers $w_i \in W$ for $i \in [1…N]$. Also, there are a fixed number of jobs that must be assigned to ...
1 vote
62 views

### How to formulate fleet Assignment Problem?

I do want to formulate a fleet assignment problem. The following table is available It shows the departure/arrival location and time I am trying to find the min number of required planes to assign to ...
1 vote
44 views

### Minimize cost given working days/hours/required hours per job/start & end dates

I am trying to solve an optimization problem on Excel or Python. My constraints are the available number of employees (=20), the number of working days/month (=20), the number of working hours/day (=8)...
72 views

### Accelerating an integer programming model

I am working on a scheduling problem, where I am solving it through column generation. The pricing problem of this algorithm is an integer programming model as follows: \begin{equation} F_1 \Big\{V^...
371 views

### What is the difference bewteen CP and MILP approaches in Job Shop Scheduling?

My understanding is Constraint programming (CP) is a sub-set of MILP but in MILP we not only try to find a feasible solution (like CP) but also we should optimize an objective function. I do have a ...
70 views

### Scheduling optimization, Adding 4 day same shift and 3 day off weekly constraint

Am writing a small scheduling program in C# for a group of 7 staff who will be working in three shifts daily for 4 weeks. Am using the google OR-Tools Template, but i have modified it abit This is the ...
105 views

### Np-hard sequencing or packing problems with total ordering between elements

I would like to know if anyone is aware of any Np-hard problems in scheduling or packing where there is total ordering between tasks or items to be packed together. The objective can be anything. For ...
240 views

### Visualizing results to the RCPSP

Bot for getting better insight and reporting purposes, I am looking for a way to visualize results to the Resource-Constrained Project Scheduling Problem (RCPSP). I am aware that such results are most ...
178 views

### How to model this user packing problem?

I have a system with $N$ resources. There are $K$ users in the system demanding these resources. The demand of resources for a given user $k$, $d_k$ follows $d_k\in\{1,3,6\}$ The constraints for this ...
210 views

### Identifying problem: Assignment + Job Shop Scheduling

I am new to OR. Hence, I want your advice on the problem I am trying to solve: Given: $O_1 \rightarrow O_2 \rightarrow O_3 \rightarrow ... \rightarrow O_n$: the sequence of operations to produce $1$ ...
132 views

### Project task scheduling based on available budget per period

I have a challenge that is a bit backwards from the usual labour resource leveling problem. In my case I have a fixed budget pool over a period to deliver some of the work packages (not enough per ...
121 views

### Job scheduling for a 2 stage job with 2 machines available for each stage

I am trying to solve a problem where I am provided a list of jobs that need to be scheduled to minimize the processing time. Every job has to be performed in 2 stages where the second stage can be ...
145 views

### crew scheduling problem with shift priority hard constraints

I am working on a crew scheduling problem formulated as a MIP binary optimization where each employee is represented by a binary variable $X_{ids}$ s.t. $i \in I$ is $i$th employee, $d \in D$ is the ...
151 views

### Circuit constraints in ortools

I am looking to assign tasks to people. Each successive task should be started after the first one is finished and should be started at the same location as the preceding task. While the time ...
58 views

### MIP gives out zero as best solution when trying to optimize MIP model for flexible job-hop

I have implemented an existing MIP Model into python with the python-mip solver and somehow I only get '0' as a solution to my minimization problem. What could be the problem? I am fairly new to LP ...
59 views

### Determining constraint relevance in crew scheduling problem

I am working on a crew scheduling problem formulated as a MIP binary optimization where each employee is represented by a binary variable $X_{ids}$ s.t. $i \in I$ is $i$th employee, $d \in D$ is the ...
140 views

### Mathematically formulating formal problem of a cloud service scheduler

So, I have been tasked to create a formal mathematical description of problem statement on a cloud service scheduler for my team's university project, which is, honestly, a little weird of a thing to ...
108 views

### opposite of no_overlap constraint in docplex for CP

I am using python for CP solving. I would like to know if there is constraint that does the opposite of no_overlap. This will be like overlap(interval, arr, n) interval - single interval variable arr -...
42 views

### RCPS with time buckets for resource capacity constraints

Goal: My goal is to come up with a Resource-Constrained Project Scheduling (RCPS) model where the resource capacity constraints are aggregated and verified on time buckets, which can be of varying ...
117 views

### "Complex" scheduling problem model structure

So, I'm modelling a job assigning problem in OR-Tools CP-SAT. I want to maximize rescheduled jobs based on some constraints. Right now jobs in my model look like this: ...
111 views

### Dichotomic search for biobjective linear program, max flow problem for hospital patients

I recently asked this question about formulating a max flow diagram for hospital patients. I am now considering a secondary objective which is to maximize the effetiveness of the scheduled treatment. ...
1 vote
241 views

### optimize days between work shift

For a work shift optimization problem, I've defined a binary variable in PuLP as follows: pulp.LpVariable.dicts('VAR', (range(D), range(N)), 0, 1, 'Binary') where ...
70 views