Empirical Analysis of Improvement Algorithms for the Pickup and Delivery Traveling Salesman Problem
نویسندگان
چکیده
This paper presents an empirical analysis of some implementations of tour improvement heuristics designed for the pickup and delivery traveling salesman problem. Results show that while the classical 2-opt traveling salesman algorithm can be implemented very efficiently, available implementations of the 3-opt are much less efficient. Among tested algorithms, the only one to produce significant improvements on large scale problems is our adaptation of the 4-opt improvement heuristic.
منابع مشابه
New Heuristic Algorithms for Solving Single-Vehicle and Multi-Vehicle Generalized Traveling Salesman Problems (GTSP)
Among numerous NP-hard problems, the Traveling Salesman Problem (TSP) has been one of the most explored, yet unknown one. Even a minor modification changes the problem’s status, calling for a different solution. The Generalized Traveling Salesman Problem (GTSP)expands the TSP to a much more complicated form, replacing single nodes with a group or cluster of nodes, where the objective is to fi...
متن کاملSolving Traveling Salesman Problem based on Biogeography-based Optimization and Edge Assembly Cross-over
Biogeography-Based Optimization (BBO) algorithm has recently been of great interest to researchers for simplicity of implementation, efficiency, and the low number of parameters. The BBO Algorithm in optimization problems is one of the new algorithms which have been developed based on the biogeography concept. This algorithm uses the idea of animal migration to find suitable habitats for solvin...
متن کاملA reactive bone route algorithm for solving the traveling salesman problem
The traveling salesman problem (TSP) is a well-known optimization problem in graph theory, as well as in operations research that has nowadays received much attention because of its practical applications in industrial and service problems. In this problem, a salesman starts to move from an arbitrary place called depot and after visits all of the nodes, finally comes back to the depot. The obje...
متن کاملSolving the Multiple Traveling Salesman Problem by a Novel Meta-heuristic Algorithm
The multiple traveling salesman problem (MTSP) is a generalization of the famous traveling salesman problem (TSP), where more than one salesman is used in the solution. Although the MTSP is a typical kind of computationally complex combinatorial optimization problem, it can be extended to a wide variety of routing problems. This paper presents an efficient and evolutionary optimization algorith...
متن کاملSolving the Traveling Salesman Problem by an Efficient Hybrid Metaheuristic Algorithm
The traveling salesman problem (TSP) is the problem of finding the shortest tour through all the nodes that a salesman has to visit. The TSP is probably the most famous and extensively studied problem in the field of combinatorial optimization. Because this problem is an NP-hard problem, practical large-scale instances cannot be solved by exact algorithms within acceptable computational times. ...
متن کامل