scholarly journals A multi-phase constructive heuristic for the vehicle routing problem with multiple trips

2003 ◽  
Vol 133 (1-3) ◽  
pp. 69-92 ◽  
Author(s):  
R.J Petch ◽  
S Salhi
Author(s):  
Farhana Johar ◽  
Chris Potts ◽  
Julia Bennell

This paper addresses the Vehicle Routing Problem (VRP) with time constraints which been solved by several heuristic algorithms. The problem starting at the depot where the customer orders which associated with due date determined by customer, are released with different point of time. Ideally, to avoid any lateness in delivery process, the orders need to be delivered as soon as it released and available at the depot. However, this may increase the traveling cost because one vehicle needs to go and come back to depot for the other deliveries which this can be saved by batching the deliveries. Therefore, the study will focus on minimizing the tradeoff between traveling and tardiness costs.  Literatures show that implementing the heuristic algorithms for solving various instances of VRPs manage to minimize the distribution cost within the reasonable computing times. An initial feasible solution was generated using a constructive heuristic. The solution then was improved by several metaheuristic algorithms were developed for solving the problem studied; Variable Neighborhood Search, Large Neighborhood Search and Tabu Search. To cater with the problem studied, a modification to the benchmark problems of Solomon has been done. The performance of the algorithms can be seen through the comparison of the solution obtained.  The results showed that there is a significant saving in producing the least cost solution and manually constructed routes are very ineffective.


Algorithms ◽  
2020 ◽  
Vol 13 (9) ◽  
pp. 237
Author(s):  
Leandro do C. Martins ◽  
Christopher Bayliss ◽  
Pedro J. Copado-Méndez ◽  
Javier Panadero ◽  
Angel A. Juan

Advances in information and communication technologies have made possible the emergence of new shopping channels. The so-called ‘omnichannel’ retailing mode allows customers to shop for products online and receive them at home. This paper focuses on the omnichannel delivery concept for the retailing industry, which addresses the replenishment of a set of retail stores and the direct shipment of the products to customers within an integrated vehicle routing formulation. Due to its NP-Hardness, a constructive heuristic, which is extended into a biased-randomized heuristic and which is embedded into a multi-start procedure, is introduced for solving the large-sized instances of the problem. Next, the problem is enriched by considering a more realistic scenario in which travel times are modeled as random variables. For dealing with the stochastic version of the problem, a simheuristic algorithm is proposed. A series of computational experiments contribute to illustrate how our simheuristic can provide reliable and low-cost solutions under uncertain conditions.


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