# Questions tagged [constraint-satisfaction-problems]

For questions about constraint satisfaction problems (CSPs), which are usually described by a set of variables, a set of domains, and a set of constraints. For more details, see, for example, chapter 6 of the book "Artificial Intelligence: A Modern Approach" (3rd Edition) by Stuart Russell and Peter Norvig.

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### How to turn a ternary constraint into three binary constraints?

I'm trying to solve problem 6.6 from the book Artificial Intelligence: A Modern Approach, by Peter Norvig and Stuart Russell. This is in the context of Constraint Satisfaction Problem and how you can ...
191 views

### What is local consistency in constraint satisfaction problems?

In the Constraint Propagation in CSP, it is often stated that pre-processing can solve the whole problem, so no search is required at all. And the key idea is local consistency. What does this ...
110 views

### What AI technique should I use to assign a person to a task?

I'm trying to learn AI and thinking to apply it to our system. We have an application for the translation industry. What we are doing now is the coordinator $C$ assigns a file to a translator $T$. The ...
109 views

### How can I formulate a nonogram problem as a constraint satisfaction problem?

I've just started learning CSP and I find it quite exciting. Now I'm facing nonogram solving problem and I want to solve it using backtracking with CSP. The first problem that I face is that I cannot ...
1k views

### How can I formulate the k-knights problem as a constraint satisfaction problem?

There are three things in every constraint satisfaction problem (CSP): Variables Domain Constraints In the given scenario, I know how to identify the constraints, but I don't know how to identify ...
68 views

### Which algorithm can I use to solve a problem with multiple objectives and constraints?

Consider a problem with many objectives. In my case, these are school grades for different courses (or subjects). To be more concrete, suppose that my current grade for the math course is $12/20$ and ...
112 views

### What are the differences between constraint satisfaction problems and linear programming?

I have taken an algorithms course where we talked about LP significantly, and also many reductions to LPs. As I recall, normal LP is not NP-Hard. Integer LP is NP-Hard. I am currently taking an ...
71 views

### How can I develop a genetic algorithm with a constraint on the sum of alleles?

I'm working on a genetic algorithm with a constraint on the sum of the alleles, e.g. if we use regular binary coding and a chromosome is 5-bits long I'd like to constrain it so that the sum of the ...
159 views

### What are daily life examples of SAT problems?

What are (good) daily life examples of SAT problems? I've thought about this one. The problem of placing a bunch of different kinds of glasses in a shared cabinet in such a way that some constraints ...
5k views

### What is a successor function (in CSPs)?

In Constraint Satisfaction Problems (CSPs), a state is any data structure that supports a successor function, a heuristic function, and a goal test. In this context, what is a successor function?
241 views

### Have evolutionary algorithms been used for engineering design?

Recently, I've been looking recently into what uses AI - specifically evolutionary algorithms - may have in automating engineering design. For a long time, there have been algorithms that solve ...
289 views

### Can the degree and minimum remaining values heuristics be used in conjunction?

I am currently studying constraint satisfaction problems and have come across two heuristics for variable selection. The minimum remaining values(MRV) heuristic and the degree heuristic. The MRV ...
114 views

### How can I assign agents to tasks based on time and affinity?

I am working on an assignment problem. Consider $K$ agents $A_1, \dots A_K$ and $N$ tasks $T_1, \dots T_N$. Each task has a certain time $t(T_i)$ to be completed and each agent has a matching (or ...
1k views

### How to improve the efficiency of the backtracking search in CSPs?

Backtracking search is the basic uninformed search algorithm for constraint satisfaction problems (CSPs). How could we improve the efficiency of the backtracking search in CSPs?
22 views

### How to handle equality constraints in the mutation operation of evolutionary algorithms?

I am new in evolutionary algorithms field. I have a chromosome of 6 variables (real variable), where the sum of these variables is equal to 1. I am looking for mutation formulas that can generate a ...
18 views

### Understanding conflict set generation for conflict directed backjumping

I was reading Constraint Satisfaction Problem chapter from Artificial Intelligence 3rd ed book by Peter Norvig et al. On page 219, section 6.3 it explains computation of conflict set for conflict ...
19 views

### CSP heuristic to simultaneously reduce conflicts and find near optimal assignment

I am trying to design a good heuristic to solve a constraint satisfaction problem (CSP). I think that a possible heuristic to use is $$h_1(\text{state}) = \text{number of conflicts in state}$$ However,...
47 views

### Somone can help me to solve this question about the AC-3 algorithm

i was watching this video: https://www.youtube.com/watch?v=4cCS8rrYT14 and I tried to solve this question: "Given the variables A, B, C and D, with domain {1, 2, 3, 4} in each of them and ...
22 views

### How can I design a system that suggests physical exercises to a person while keeping into account the fatigue?

I want to create an exercise suggester. Each day either has a routine or is a rest day. A routine has 4 slots. For each slot we select an exercise. We constrain the legal exercises, only do upper-body ...
22 views

### How do I decide which norm to use for placing a constraint on my adversarial perturbation?

I am performing an adversarial machine learning attack on a neural network for network traffic classification. For adding adversarial perturbations in features such as packet interarrival times and ...
18 views

### Where can I find example data for Nonogram solver?

I made CSP nonogram solver and I wanna test it on some bigger data. Where can I find such data to test my program? I've been looking on the internet but I couldn't find anything.
116 views

### What is exactly the role of commutative property in a Constraint Satisfaction Problem?

I have been looking into the backtracking search for CSPs, and understand that if we just plainly do a typical depth-limited search we have a vast tree with leaves size n!d^n where n is the # of ...
31 views

### Write Constraint Satisfaction Formulation for problem

Given $F_1,F_2,..,F_n$ as set of final exams of subjects taken by students $S_1,..,S_k$ in h slots such that no student takes two exams in a single slot.Here the objective is to maximize the number of ...
111 views

### Can AC-3 algorithm solve N-Queens problem?

I am building CSP NQueens solver and apply the AC-3 algorithm.But,the domain reduction doesn't occur and gets more search time.How does it happen?Is it a nature of AC-3 algorithm?
72 views

### What is the goal of a constraint solver?

What is the goal of a constraint solver? How are constraints propagated in a constraint satisfaction search? Any references are also appreciated.
18 views

### Constraint Satisfaction Problem - Scheduling Problems

I have been working through some CSPs and I have noted that scheduling problems are quite often used with CSPs. I have the following example: A certain deli prepares the following meals for take-away: ...
I was given a question Given the following constraint networks $X$, $Y$ and $Z$ with four variables $x_1, x_2, x_3$ and $x_4$ all defined on the same domain values $\{\text{red}, \text{blue} \}$. The ...