Capacitated Node Routing Problems
نویسنده
چکیده
This abstract describes a branch, cut, and price (BCP) algorithm for the solution of a class of network design problems with routing and packing constraints that can all be seen as special cases of a general model we will call the Capacitated Node Routing Problem (CNRP). We present several alternative integer programming formulation of the CNRP that can be shown to generalize a number of other important combinatorial models, including the Vehicle Routing Problem (VRP), the Capacitated Spanning Tree Problem (CSTP), and the Cable Trench Problem (CTP). These problems all have a common underlying flow structure which has not been exploited in previous studies from the literature.
منابع مشابه
Modelling and Solving the Capacitated Location-Routing Problem with Simultaneous Pickup and Delivery Demands
In this work, the capacitated location-routing problem with simultaneous pickup and delivery (CLRP-SPD) is considered. This problem is a more realistic case of the capacitated location-routing problem (CLRP) and belongs to the reverse logistics of the supply chain. The problem has many real-life applications of which some have been addressed in the literature such as management of liquid petrol...
متن کاملA novel heuristic algorithm for capacitated vehicle routing problem
The vehicle routing problem with the capacity constraints was considered in this paper. It is quite difficult to achieve an optimal solution with traditional optimization methods by reason of the high computational complexity for large-scale problems. Consequently, new heuristic or metaheuristic approaches have been developed to solve this problem. In this paper, we constructed a new heuristic ...
متن کاملComparing Two-Echelon and Single-Echelon Multi-Objective Capacitated Vehicle Routing Problems
This paper aims to compare a two-echelon and a single-echelon distribution system. A mathematical model for the Single-Echelon Capacitated Vehicle Routing Problem (SE-CVRP) is proposed. This SE-CVRP is the counterpart of Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP) introduced in the authors’ previous work. The proposed mathematical model is Mixed-Integer Non-Linear Programming (MIN...
متن کاملA Variable Neighborhood Search for the Capacitated Arc Routing Problem with Intermediate Facilities
In this talk we present a unified Variable Neighborhood Search (VNS) algorithm for the Capacitated Arc Routing Problem (CARP) and some of its variants the Capacitated Arc Routing Problem with Intermediate Facilities (CARPIF) and the Capacitated Arc Routing Problem with Intermediate Facilities and Length restrictions (CLARPIF). Routing problems represent one of the most prominent classes of mode...
متن کاملExact methods based on node routing formulations for arc routing problems
This paper proposes a new transformation of arc routing problems into equivalents node routing problems, with emphasis on the transformation of Capacitated Arc Routing Problems (CARP) into Capacitated Vehicle Routing Problems (CVRP). For this last case, an analogue transformation has already been proposed in Pearn et al. [21], where each required CARP arc was mapped onto a triplet of CVRP nodes...
متن کامل