2020
DOI: 10.3390/math8101788
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A Method for Transportation Planning and Profit Sharing in Collaborative Multi-Carrier Vehicle Routing

Abstract: This paper addresses a collaborative multi-carrier vehicle routing problem (CMCVRP) where carriers tackle their orders collaboratively to reduce transportation costs. First, a hierarchical heuristics algorithm is proposed to solve the transportation planning problem. This algorithm makes order assignments based on two distance rules and solves the vehicle routing problem with a hybrid genetic algorithm. Second, the profit arising from the coalition is quantified, and an improved Shapley value method is propose… Show more

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Cited by 8 publications
(6 citation statements)
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“…e Shapley value method is utilized in this study. Here, A and A s are defined as the grand alliance consisting of all logistics facilities in the 2E-CMDPDTW and a suballiance including some of them, (2) Set system parameters: pop size , tmax, rmax (3) Set genetic parameters: p cro , p mut Implement (4) for run � 1: rmax (5) Generate the initial population by greedy algorithm and scanning algorithm (6) for i � 1: tmax (7) for i � 1: pop size (8) Evaluate the objective function ( 9) End (10) Carry out order crossover and polynomial mutation for the population (11) Generate the offspring population Q i (12) Combine the parent population P i and the offspring population Q i to generate a new population R i (13) Perform the non-dominated sorting and crowding distance calculating for the R i (14) Select individuals from the R i to generate a new population P i+1 (15) end ( 16) end (17) Obtain the optimal solutions ALGORITHM 2: Procedure of the proposed Im-NSGA-II.…”
Section: Shapley Value Methodmentioning
confidence: 99%
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“…e Shapley value method is utilized in this study. Here, A and A s are defined as the grand alliance consisting of all logistics facilities in the 2E-CMDPDTW and a suballiance including some of them, (2) Set system parameters: pop size , tmax, rmax (3) Set genetic parameters: p cro , p mut Implement (4) for run � 1: rmax (5) Generate the initial population by greedy algorithm and scanning algorithm (6) for i � 1: tmax (7) for i � 1: pop size (8) Evaluate the objective function ( 9) End (10) Carry out order crossover and polynomial mutation for the population (11) Generate the offspring population Q i (12) Combine the parent population P i and the offspring population Q i to generate a new population R i (13) Perform the non-dominated sorting and crowding distance calculating for the R i (14) Select individuals from the R i to generate a new population P i+1 (15) end ( 16) end (17) Obtain the optimal solutions ALGORITHM 2: Procedure of the proposed Im-NSGA-II.…”
Section: Shapley Value Methodmentioning
confidence: 99%
“…Step 6: Assign the customer to the closest cluster center. End (8) Step 7: Reassess the similarity of customers in each center, and update the clusters. (9) Step 8: Repeat Steps 3-6 until every customer is assigned to the closest cluster center.…”
Section: Elsementioning
confidence: 99%
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“…If they do not wish to share their costs every time, even occasional sharing results in a greater improvement. Shi et al [18] proposed a method to solve the collaborative multi-carrier vehicle routing problem to reduce transportation costs and share the profit fairly with individual players. Maneengam and Udomsakdigool [19] proposed a covering model with a screening technique to reduce the initial problem size for collaborative bidirectional multi-period vehicle routing problems under profit-sharing agreements in bulk transportation.…”
Section: Introductionmentioning
confidence: 99%
“…Shapley value method is used to allocate the cost savings generated in a collaborative scenario of pickup and delivery problems (Krajewska et al (2008), Farvaresh andShahmansouri (2020)) and also in problems where order delivery is modelled as a bin packing problem ). There are also studies which look at modifying the Shapley value method by attempting to reduce computation time ( Özener (2014), Schulte et al (2019), Shi et al (2020)), incorporating additional problem parameters such as flexibility of players )…”
Section: Shapley Valuementioning
confidence: 99%