Uniform-cost search

Q: How deeply does Optimization Algorithms: AI techniques for design, planning, and control problems cover uniform-cost search?

Explains priority-queue operations, duplicate-cost comparison, visited tracking, BFS equivalence, and practical efficiency relative to Dijkstra’s algorithm.

As explained in Optimization Algorithms: AI techniques for design, planning, and control problems

A blind graph-search algorithm that expands the node with the lowest cumulative path cost, or highest utility for maximization problems.

Uniform-cost search (UCS) is a blind graph-search algorithm that expands the node with the lowest cumulative path cost. For maximization problems, it instead prioritizes the highest utility. It finds shortest paths without requiring the entire graph in advance. section 3.2 section 3.4.2

Choosing a route to work

For the quickest route from home to work, breadth-first or depth-first search may reach the destination without minimizing distance. UCS instead explores the route with the lowest accumulated cost, making it suitable for weighted paths. section 3.4

Implement UCS by maintaining a priority queue and updating candidate routes:

Pop the node with the best priority, expand its children, and accumulate path cost. section 3.4.2
Expect UCS to behave like BFS when every edge has the same cost. section 3.2

How Optimization Algorithms: AI techniques for design, planning, and control problems covers it

Cover of Optimization Algorithms: AI techniques for design, planning, and control problems

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Related concepts

A-star algorithmequivalent to · A* is an informed graph-search algorithm that prioritizes paths or states by combining the cost incurred so far with a heuristic estimate of the remaining cost to a goal.
brute-force searchkind of · Brute-force search systematically tests many or all candidates in a defined search space, without relying on selective shortcuts to narrow it.
Dijkstra's algorithmalternative to · Dijkstra's algorithm computes shortest paths from a source vertex in a weighted graph with nonnegative edge weights.
breadth-first searchequivalent to · Breadth-first search is a graph or tree traversal algorithm that explores nodes in nondecreasing order of their distance from a starting node.
priority queueuses · A priority queue is an abstract data type that retrieves or removes elements according to assigned priority rather than insertion order.

This explainer was generated by Manning's knowledge graph from the text of Optimization Algorithms: AI techniques for design, planning, and control problems. The section links point to the parts of the book it draws on.