The Multi-Commodity One-to-One Pickup-and-Delivery Traveling Salesman Problem: A Matheuristic
نویسندگان
چکیده
This paper treats of a generalization of the Traveling Salesman Problem (TSP) called Multi-commodity one-to-one Pickup-and-Delivery Traveling Salesman Problem (m-PDTSP) in which cities corresponds to customers providing or requiring known amounts of m different objects, and the vehicle has a given upper-limit capacity. Each object has exactly one origin and one destination, and the vehicle must visit each customer exactly once. This justifies the words “one-to-one” and “traveling salesman problem” in the name of the problem, respectively. We introduce a Mixer Integer Linear Programming model for the m-PDTSP, discuss decomposition techniques and describe some strategies to solve the problem based on a branchand-cut procedure. Preliminary computational experiments on randomly generated euclidian instances are shown.
منابع مشابه
A Multi-commodity Pickup and Delivery Open-tour m-TSP Formulation for Bike Sharing Rebalancing Problem
Bike sharing systems (BSSs) offer a mobility service whereby public bikes, located at different stations across an urban area, are available for shared use. An important point is that the distribution of rides between stations is not uniformly distributed and certain stations fill up or empty over time. These empty and full stations lead to demand for bikes and return boxes that cannot be fulfi...
متن کاملLoad-dependent and precedence-based models for pickup and delivery problems
We address the one-to-one multi-commodity pickup and delivery traveling salesman problem (m-PDTSP) which is a generalization of the TSP and arises in several transportation and logistics applications. The objective is to find a minimum-cost directed Hamiltonian path which starts and ends at given depot nodes and such that the demand of each given commodity is transported from the associated sou...
متن کاملThe One Commodity Pickup and Delivery Traveling Salesman Problem with Demand Intervals
This study introduces the One-Commodity Pickup and Delivery Traveling Salesman Problem with Demand Intervals (1-PDTSP-DI), a generalization of the One Commodity Pickup and Delivery Traveling Salesman Problem (1-PDTSP). In the 1-PDTSP-DI, the vertices are required to have an inventory lying between given lower and upper bounds and initially have an inventory which does not necessarily lie betwee...
متن کاملNew 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 کامل