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).
57
questions
-2
votes
0answers
37 views
Optimized Production Planning & Scheduling
I want to create an optimized schedule and production to meet demand of four different buyers. I am starting with Pulp but not able to account for continuous production variable and discrete dispatch ...
2
votes
2answers
140 views
How to correct this scheduling algorithm?
I have a scheduling problem to solve. It's a resource-constrained project scheduling problem with time-varying resource availabilities. The objective is minimizing tardiness. The full detailed model ...
2
votes
1answer
91 views
Is a convex or MILP (without big-M) formulation possible for this problem
Assume we are given a directed acyclic graph (DAG) $G(V, A)$, where $|V| = n, |A| = m$, and the graph contains a source node $\mathbf{s}$ (i.e. every node in $V \backslash \mathbf{s}$ is connected by ...
2
votes
0answers
43 views
Scheduling with setup cost
I have a single worker that can work on N different tasks, but his total time T is limited. Let's assume time is in steps of 10 minutes (1 step = 1 mn). The payoff from a single job is 0 for the first ...
0
votes
0answers
55 views
How to identify an MVP for house building?
I am trying to find a minimal viable product for house building company.
I don't know what are the commonly used constraints. Intuitively, I would say that:
There is a set of tasks. Each task has a ...
3
votes
1answer
85 views
Can Deep RL be used to find optimal division point in an application?
I need to optimise the end-to-end latency for a multi-service application while distributing it on multiple devices. The application is a series of services interconnected to each other. The goal is ...
2
votes
0answers
129 views
Operation hours optimization for circular schedule
Here is my problem. A store has X = 15 electical devices with the ability to work non-stop, fully charged, up to 8 hours. Their battery charge lasts 2 hours and the operating hours of the store differ ...
3
votes
2answers
114 views
Limit number of switches in employee scheduling problem
Here is a scheduling problem I need to solve. Given the demand for 2 positions in 1 week with 3 shifts per position, I need to allocate the employees accordingly with some extra operational ...
6
votes
1answer
80 views
CVRP with vehicles blocking each other
I have a standard CVRPTW (capacitated vehicle routing problem with time windows). The instance is given by a (not complete) graph $G$ with weighted $w$ directed edges $e \in E$, and I have a limited ...
3
votes
1answer
66 views
Is it possible to solve VRP using OR-Tools CpModel, instead of RoutingModel?
Is it possible to solve VRP using OR-Tools CpModel, instead of RoutingModel? I want to do synchronized VRP, which is combining vehicle routing and scheduling constraints
1
vote
1answer
228 views
Can I apply decomposition methods for this scheduling problem
I have a centralized optimization problem for a residential area in the context of a smart grid and load flexibility. So let's say I have 10 buildings and each of them has an electric heating device. ...
3
votes
1answer
117 views
Resource constraint with MIP model
My question is how to model a resource constraint with MIP model
(how should I modify it?)
A factory is making blocks. If there is space left at that time, the block can be assembled.
(If the factory ...
3
votes
0answers
60 views
Combining Machine learning and Operations research on a scheduling problem
I am wondering if there is any attempts of combining OR and ML in the following way. Priority-based rules are widely used in Resource Constrained Project Scheduling Problems.
Is there a way to train ...
3
votes
2answers
193 views
How to add logical OR constraint in OR-Tools?
Let's say nurses normally do 1 shift
for d in all_days:
for s in all_shifts:
model.Add(sum(shifts[(n, d, s)] for n in all_nurses) == 1)
But I want to ...
4
votes
1answer
57 views
Business/industrial applications of the single machine scheduling problem
There is a lot of resources talking about the applications of scheduling in business in general.
I would like to know about the applications of the particular case of single machine scheduling.
Any ...
3
votes
1answer
107 views
Space constraint in scheduling problem
I'm studying an MIP model with a scheduling problem and I'm wondering if the space constraint is correct.
If there is space in the factory at that time, the block can be processed, where
$i$ is the ...
3
votes
1answer
83 views
What kind of scheduling problem is this?
I am trying to develop algorithm to solve following basic version of the problem.
1) I would like to know what this problem is called in literature so that I can look it up
2) What are efficient ...
7
votes
1answer
1k views
How to use the least number of colours to colour different routes of a bus route such that no two intersecting routes will have the same colour
I would like to know of a method in which if provided say 10 routes with details regarding which route intersects with which another route, we can use the least number of colours to colour the routes, ...
4
votes
2answers
374 views
Resource constrained multi-project scheduling problem and resource allocation
Problem description:
The problem is an extension of the classic resource-constrained project scheduling problem. Here is a brief description:
We have $m$ projects sharing a common pool of resources....
3
votes
1answer
109 views
What type of scheduling problem is this?
I'm trying to develop a heuristic to solve a scheduling problem. The difficult for me is to treat the time as a variable.
There are 2 variables related to time, $b_{ij}$ and $f_{ij}$, being the time ...
2
votes
1answer
79 views
Nested set in OPL/CPLEX
I'm trying to solve a scheduling problem using OPL/CPLEX. In the model, there are nine tasks in which each task has its specific precedence. the precedence relationship is as follows:
...
4
votes
3answers
486 views
Job shop scheduling advice
I changed jobs recently to a manufacturing firm. Job shop scheduling is made 100% manually and intuitively in Excel. Very time consuming and they have no idea if the schedule made is something close ...
6
votes
2answers
108 views
Is this another variant of Job Shop Scheduling Problem?
The problem is as follows: there are $n$ jobs $\mathcal{J}=\{J_1,\ldots, J_n\}$, each of which could be done. There are $k$ machines $M_1,\ldots,M_k$ that work in parallel, independently of each other,...
6
votes
1answer
108 views
How to solve this variant of RCPSP
We have $m$ projects in parallel that require shared resources the resources has time varying capacities (i.e $B_{rt}$ is the units of resource $r$ available in period $t$). For each project there is $...
6
votes
3answers
341 views
Scheduling problem data generation
I compare the strengths and weaknesses of paradigms and approaches within those paradigms for solving machine scheduling problems. The amount of real-world data I have is limited and (random) ...
3
votes
1answer
104 views
Optimal way to ensure optional intervals are consecutive in OR-Tools
I am trying to solve a scheduling problem in OR-Tools. There are lots of "events" that need to be scheduled to "blocks" (essentially half-days). I am naturally using optional intervals for the events. ...
8
votes
1answer
99 views
Scheduling events in order to maximize preparation time
Problem statement
I'm given a set of events $E$, and $\forall e \in E$ also:
a set of plausible dates on which the event can happen $D_e$
importance (weight) $w_e$
ideal preparation time duration $...
9
votes
1answer
155 views
How to classify and model this problem?
I was given the task to model the following problem and find a solution for it, but as I do not have any experience in this field, I already have trouble classifying it.
There are a number of ...
6
votes
1answer
110 views
Optimal Energy Charging/discharging Scheduling Problem
I'm new to IBM CP optimizer.
I want to make charging / discharging scheduling based on cost (value will change on time) and my objective function is
$$\sum_{t=1}^{24}\sum_{j=1}^5x(1)^{(t,j)}x(2)^{(t,j)...
4
votes
1answer
97 views
How exactly does OptionalIntervalVar work in OR-Tools?
I created OptionalIntervals for a number of tasks:
...
11
votes
5answers
655 views
How to implement a “generic” solver for scheduling problems?
I have been accepted for an internship for 6 months. The aim of this internship is to implement a "generic" solver for scheduling/production planning problems. This solver will bill a small prototype ...
6
votes
0answers
27 views
Building the Scheurman's Model II constraints for a multi period linear program
Scheurman's paper discusses Model I and model II Formulation to solve harvesting and scheduling problems. It is a specific implementation to solve multi period linear programs. Both models are also ...
6
votes
0answers
109 views
Modelling issue with precedence constraint in OR-Tools
I'm trying to solve an RCPSPDc model It is infeasible, although Ilog Cplex solves it, so I think I have a modelling issue. I have more constraints but the precedence is the one that makes it ...
11
votes
1answer
310 views
Job Shop Scheduling: what objectives are harder?
It is well known that job shop scheduling problems are notoriously hard from a computational point of view. Many papers exist for the makespan objective, and some report on min sum objectives (like ...
12
votes
1answer
88 views
Improving cuts from sub-problem with problem-specific hierarchical information
I'm solving an assignment-alike problem with a Logic-based Benders decomposition-alike (LBBD) method. The master problem provides an assignment, which is checked in the sub-problem.
Define the set of ...
7
votes
1answer
90 views
Variant of job shop scheduling problem
I'm looking to identify a problem in the literature that I'm currently solving.
I have a set of jobs each having a set of operations. Each operation has a duration. An operation may be done by a ...
5
votes
1answer
113 views
Scheduling with transition costs - DOCPLEX
I am dealing with a kind of scheduling problem. I have a set of tasks to be executed by a set of machines. It is known that different machines are able to execute the same task, but each machine can ...
7
votes
2answers
171 views
CPLEX CP Optimizer Java API function missing
I can not seem to find the needed functions to model the following problem through the Java API (CP Optimizer): a machine that has downtime and sequence-dependent setup times, with the extra ...
9
votes
1answer
145 views
How to tackle large nurse scheduling problem?
I have a nurse-scheduling type of problem with a time span of a year and many employees.
Formulation
My main variables are:
\begin{align}x_{e,t} &= \begin{cases}1 \text{ if employee } e \text{ ...
9
votes
2answers
306 views
What is the difference between job shop scheduling and resource constrained project scheduling?
I read here https://slideplayer.com/slide/3353960/ that RCPS is a generalized version of job shop scheduling. I'm new to this area and I'm trying to classify a specific variation of these types of ...
6
votes
3answers
105 views
Trouble with scheduling problem assumptions
Reading the famous book by Pinedo, I came across :
Usually, the subscript $j$ refers to a job while the subscript $i$
refers to a machine. If a job requires a number of processing steps or
...
8
votes
1answer
120 views
Extract info from Gurobi binary variables during run-time
Actually the question below is not specific to Gurobi, but that's the tool I am using.
Consider a scheduling problem where a 2D array of binary variables $Z(i,v)$ is defined, where $i$ is index of ...
8
votes
3answers
573 views
Maximize assigned tasks to each worker
In a scheduling problem I want to assign the maximum number of tasks to one worker before assigning it to another. For example, if I have $10$ tasks and $2$ workers, the best assignment would be $(10, ...
4
votes
1answer
145 views
XOR constraint representation
In an scheduling optimization problem, for job $l$, $\xi_l$ is binary variable that $\xi_l=1$ shows job $l$ is selected. $t_{r,l}$ and $t_{e,l}$ are registration time and time that job is completed. ...
4
votes
1answer
170 views
Scheduling Optimization Problem
I want to solve below optimization problem. This is scheduling problem where I seek to complete as many of the jobs $\xi_l$ (objective function and constraint 1), with $T_C$ being the last time until ...
12
votes
3answers
1k views
Number of aircraft to operate in an airline company
Suppose that an airline company has X planes, in general the companies keep a number of these aircraft (say 80% of X) in reserve in case of hazards. My question is how the airline companies compute ...
7
votes
2answers
532 views
Finding an Objective Function for Assigning Employees to Sequence Dates
I am using a mixed-integer-program to schedule employees to projects. These projects can have a time window to get completed from a few weeks to a few months.
At the moment I am working in a ...
9
votes
1answer
92 views
How to model 24 hours demand into a daily shift schedule?
I am working on a weekly staff scheduling optimization problem with 24/7 demand.
The binary decision variable is: $X_{\text{staff},\,\text{day},\,\text{shift}}$ whether to assign the staff $s$ to day ...
8
votes
1answer
112 views
Workforce Scheduling problem - Modelling to minimize resources
I am working on a scheduling program for a service desk. I want to decide the number of people required to come in at each shift. The data I have is:
There are 4 overlapping shifts
Arrival pattern at ...
16
votes
4answers
704 views
Best model for precedence constraints within scheduling problem
Suppose I'm modeling a problem where I want to compute the start time bucket for some jobs. All time buckets have equal duration. There are some additional constraints involved but I also have to ...
