2014
DOI: 10.1007/s10878-014-9767-4
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Multi-depot vehicle routing problem with time windows under shared depot resources

Abstract: A new variant of multi-depot vehicle routing problem with time windows is studied. In the new variant, the depot where the vehicle ends is flexible, namely, it is not entirely the same as the depot that it starts from. An integer programming model is formulated with the minimum total traveling cost under the constrains of time window, capacity and route duration of the vehicle, the fleet size and the number of parking spaces of each depot. As the problem is an NP-Hard problem, a hybrid genetic algorithm with a… Show more

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Cited by 68 publications
(29 citation statements)
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References 26 publications
(30 reference statements)
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“…e time window of RC1 is [6,18]. RC2 and RC3 have the same Nondominated Sorting Algorithm-II (NSGA-II) Input: pop size , nodes, R, Rmax, Nmax, sp, cp, and mp Output: Pareto front optimal solutions (1) Initialize parameters (2) # set the population size (pop size ), number of customers (nodes), number of generation (R), maximum number of generations (Rmax), maximum number of runs (Nmax), selection probability (sp), crossover probability (cp), and mutation probability (mp) (3) For N � 1:Nmax (4) For R � 1:Rmax (5) Generate the initial population with size pop size (6) Objective function evaluation (7) # compute the objective function to minimize the total operating cost and TNV (8) Divide pop size into nondominance front and calculate the crowding distance of each individual (9) For i � 1: R (10)…”
Section: Relevant Parameter Settingmentioning
confidence: 99%
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“…e time window of RC1 is [6,18]. RC2 and RC3 have the same Nondominated Sorting Algorithm-II (NSGA-II) Input: pop size , nodes, R, Rmax, Nmax, sp, cp, and mp Output: Pareto front optimal solutions (1) Initialize parameters (2) # set the population size (pop size ), number of customers (nodes), number of generation (R), maximum number of generations (Rmax), maximum number of runs (Nmax), selection probability (sp), crossover probability (cp), and mutation probability (mp) (3) For N � 1:Nmax (4) For R � 1:Rmax (5) Generate the initial population with size pop size (6) Objective function evaluation (7) # compute the objective function to minimize the total operating cost and TNV (8) Divide pop size into nondominance front and calculate the crowding distance of each individual (9) For i � 1: R (10)…”
Section: Relevant Parameter Settingmentioning
confidence: 99%
“…e low transportation resource utilization and irrational transport operations of logistics facilities still appear and need to be addressed [7,8]. Resource sharing (RS) strategies have been proposed to optimize resource utilization and reduce operating cost in multidepot logistics networks [9]. Customers are reassigned to appropriate logistics facilities through these strategies to avoid unreasonable routing via customer information sharing [10].…”
Section: Introductionmentioning
confidence: 99%
“…Liu et al [24] established a mixed integer programming model aiming at minimizing the cost for the MDVRP with time windows based on vehicle leasing and sharing, transforming the problem into a single depot vehicle routing problem by introducing a virtual distribution depot, and proposed a hybrid genetic algorithm. Li et al [25] considered the constraints of time window, vehicle capacity, and travel time establishing an integer programming model with the minimum total travel cost, and proposed a hybrid genetic algorithm with adaptive local search to solve it. Fan et al [6] proposed a half-open MDVRP based on joint distribution mode of fresh food, considering the timeliness requirements of fresh products transportation, and constructed an optimization model aiming at minimizing the total distribution cost, and designed an ant colony algorithm to solve the optimization model.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Given that delivery should meet the time window, Afshar-Nadjafi [42] established a mixed integer-programming model and proposed a constructive heuristic algorithm to solve the MDVRPTW model, which aimed to minimize the total cost of heterogeneous fleets. Li et al [43] formulated an integer programming model and proposed a hybrid genetic algorithm with adaptive local search to study the multi-depot vehicle routing problem with time windows. Naccache et al [44] established a model based on multi-pickup and delivery problem under time window constraints, and developed a hybrid adaptive large neighborhood search to solve this problem.…”
Section: Literature Reviewmentioning
confidence: 99%