In 1958, Wagner and Whitin published a seminal paper on the deterministic uncapacitated lot-sizing problem, a fundamental model that is embedded in many practical production planning problems. In this ...

These algorithms are significant because they can solve the noncommutative weighted Edmonds' problem in polynomial time, demonstrating that certain complex problems can be tackled efficiently [2].

This paper considers the design and analysis of algorithms for vehicle routing and scheduling problems with time window constraints. Given the intrinsic difficulty of this problem class, approximation ...

Complexity theorists sort problems into categories, called complexity classes, based on the resource demands of the best algorithms for solving them—that is, the algorithms that run fastest or ...

Most problems can be solved by many different algorithms, each with its own demands on time and space. Complexity theorists sort problems into categories, called complexity classes, based on the ...

The researchers also considered an extension of the STSP that includes time windows for simultaneous pickups and deliveries, creating a more realistic and challenging problem. The core method involves ...

In fact, we don’t know any problem that is in the class NP of easily-verified problems but for which there is definitely no polynomial-time algorithm.