Multi-criterion Tabu Search to Solve the Dynamic Carpooling Based on the Choquet Integral Aggregation

Abstract

Carpooling consists in sharing one's personal vehicles with one or several passengers in order to share the related costs but also reduce traffic and CO 2 emissions. Today, there are several studies that revolve around dynamic carpooling. The problem is how to assign every new passenger's request to one or more vehicles. This assignment must be done in real time. However, most of these studies still remain in embryonic stage regarding automation and real time aspects. In addition, there is another big handicap, due to the problem's high complexity, concerning the way to make the process perform efficiently. Therefore, this study adopts a Multi-criterion Tabu search (MTS), which is an evolutionary method based on explicit memory systems and several searching strategies designed to avoid the entrapments by local solutions. Then, to obtain a rigorous and meaningful evaluation of our solution, we use an original aggregative approach based on Choquet Integral which take into account the interaction, the compensation and avoid redundancy between criteria. Finally, to assess the merits of our approach we present a simulation study based on travel demand data from metropolitan of Lille-France. The simulation results indicate that the use of metaheuristic optimization methods improve the performance of our dynamic carpooling system. Index Terms-dynamic carpooling, tabu search, choquet integral I.

An evolutionary approach to solve the dynamic multihop ridematching problem

“…To measure the performance of our MACGeO algorithm, we will primarily compare its outputs with the results provided by our MTSA (Multicriterion Tabu Search Algorithm), which has been published previously. 25 The MTSA employs an explicit memory system and several searching strategies developed to avoid entrapment by local solutions, and uses vehicles' detours as an original aspiration process. According to our mathematical formulation, in the Tabu Search approach, the vehicles' routes are known in advance.…”

A Tabu Search based metaheuristic for dynamic carpooling optimization

“…This kind of carpooling is in the midst of a full expansion since it offers more flexibility than static approaches. The real challenges of these systems are: real time travel optimization and the guarantee of a reliable service (15).…”

“…It is a popular method, which its performance is proven by its many applications to effectively solve combinatorial optimization problems such as job-shop scheduling in (63), facility layout problems relating to the manufacturing in (73), traveling salesman problems in (25), and vehicle routing problem and its variants in (8) and (43). We have already briefly introduced the idea underlying this method in (15). In this paper, we formalize and detail the different aspects of our metaheuristic and illustrate the different steps to solve the dynamic carpooling problem.…”

“…A detailed positioning of the paper with respect to the related literature while highlighting the novelty and merits of our approach is reported in the subsequent Section 2. 3 We also note that this paper is an extended version of our previous papers that appeared as (15) and (13). Even if, in the work (13), we adopt the tabu search approach to solve the ridematching problem, it differs from this paper in several aspects.…”

“…Then, the optimization approach in (13) is only briefly introduced and not formalized, which is here fully accomplished. As regards the paper (15), in the present manuscript, we extend our previous work by: (A) performing an in-depth survey of existing carpooling systems, (B) studying the complexity of the dynamic carpooling problem, (C) illustrating in more depth the different steps of our optimization approach, (D) developing the theoretical aspects of our evaluation process where we apply a fuzzification method to normalize the values of the criteria and we adopt the Choquet Integral to take in consideration the interactions among them, (E) presenting new experimental results and highlighting the contribution of the Choquet Integral to ensure a rigorous evaluation of the generated solutions.…”