scholarly journals Program Dinamis Pada Penentuan Rute Kendaraan Dengan Time Windows

2018 ◽  
Vol 3 (2) ◽  
pp. 135-141
Author(s):  
Mirta Fera ◽  
Irwan Endrayanto

Penentuan rute armada merupakan salah satu permasalahan optimisasi kombinatorik yang memiliki pengaruh pada distribusi barang. Pengiriman barang cepat busuk (perishable good) seperti produk darah, dengan karakteristik jarak tempuh yang pendek memungkinkan untuk dilakukan dengan satu kendaraan. Terdapat kendala time windows pada pelanggan dan depot yang membatasi pengiriman. Masalah penentuan rute dalam penelitian ini dipandang sebagai single vehicle routing problem dengan time windows. Penelitian ini bertujuan untuk mendeskripsikan algoritma yang ditulis berdasarkan program dinamis untuk masalah penentuan rute kendaraan dengan time windows. Pada algoritma diterapkan tes yang bertujuan meningkatkan performa algoritma. Pada bagian akhir diberikan contoh penyelesaian masalah penentuan rute kendaraan dengan time windows menggunakan algoritma. Kata kunci: penentuan rute kendaraan; program dinamis; algoritma eksak Routing problem is kind of combinatoric optimization problem that has an influence on the distribution of goods. Delivery of perishable good such as blood products with short travel characteristics makes it possible to do with one vehicle. There are time-windows constraints on customer and depots that limit delivery. This research aims to describe algorithms written based on dynamic programs for the problem of determining vehicle routes with time windows. In the algorithm applied a test that aims to improve the performance of the algorithm. In the end, given an example of solving the problem of determining a vehicle route with time windows using an algorithm. Keywords: vehicle routing problem; dynamic programming; exact algorithm

2014 ◽  
Author(s):  
Γεώργιος Νινίκας

In this dissertation we studied the Dynamic Vehicle Routing Problem with Mixed Backhauls (DVRPMB), which seeks to assign, in the most efficient way, dynamic pick-up requests that arrive in real-time while a predefined distribution plan is being executed. We used periodic re-optimization to deal with the dynamic arrival of pick-up orders. We developed the formulation of the re-optimization problem, and re-modelled it to a form amenable to applying Branch-and-Price (B&P) for obtaining exact solutions. In order to address challenging cases (e.g. without time windows), we also proposed a novel Column Generation-based insertion heuristic that provides near-optimal solutions in an efficient manner.Using the aforementioned approach, the dissertation focused on the re-optimization process for addressing the DVRPMB, which comprises a) the re-optimization policy, i.e. when to re-plan, and b) the implementation tactic, i.e. what part of the new plan to communicate to the fleet drivers. We presented and analyzed several re-optimization strategies (combinations of policy and tactic) often met in practice by conducting an extensive series of designed experiments. We did so, by assuming initially unlimited fleet resources under a straightforward objective (i.e. minimize distance traveled). Based on the results obtained, we proposed guidelines for the selection of the appropriate re-optimization strategy with respect to various key problem characteristics (geographical distribution, time windows, degree of dynamism, etc.).Subsequently, we In this dissertation we studied the Dynamic Vehicle Routing Problem with Mixed Backhauls (DVRPMB), which seeks to assign, in the most efficient way, dynamic pick-up requests that arrive in real-time while a predefined distribution plan is being executed. We used periodic re-optimization to deal with the dynamic arrival of pick-up orders. We developed the formulation of the re-optimization problem, and re-modelled it to a form amenable to applying Branch-and-Price (B&P) for obtaining exact solutions. In order to address challenging cases (e.g. without time windows), we also proposed a novel Column Generation-based insertion heuristic that provides near-optimal solutions in an efficient manner.Using the aforementioned approach, the dissertation focused on the re-optimization process for addressing the DVRPMB, which comprises a) the re-optimization policy, i.e. when to re-plan, and b) the implementation tactic, i.e. what part of the new plan to communicate to the fleet drivers. We presented and analyzed several re-optimization strategies (combinations of policy and tactic) often met in practice by conducting an extensive series of designed experiments. We did so, by assuming initially unlimited fleet resources under a straightforward objective (i.e. minimize distance traveled). Based on the results obtained, we proposed guidelines for the selection of the appropriate re-optimization strategy with respect to various key problem characteristics (geographical distribution, time windows, degree of dynamism, etc.).Subsequently, we studied the case in which the number of available vehicles is limited and, consequently, not all orders may be served. To address this, we proposed the required modifications in both the DVRPMB model and the solution approach. By using a conventional objective that strictly maximizes service, we illustrated through appropriate experimentation that the performance of the re-optimization strategies have similar behavior as in the unlimited fleet case. Furthermore, we proposed novel objective functions that account for vehicle productivity during each re-optimization cycle and we illustrated that these objectives may offer improved customer service, especially for cases with relatively high vehicle availability and wide time windows. Moreover, we applied the proposed method to a case study of a next-day courier service provider and illustrated that the method significantly outperforms both current planning practices, as well as a sophisticated insertion-based heuristic. Finally, we investigated an interesting and novel variant of DVRPMB that allows transfer of delivery orders between vehicles during plan implementation, in order to better utilize fleet capacity and re-distribute its workload as needed in a real-time fashion. We introduced a novel mathematical formulation for the re-optimization problem with load transfers, and proposed an appropriate heuristic that is able to address cases of practical size. We illustrated through extensive experimentation under various operating scenarios that this approach offers significant savings beyond those offered by the previous approaches that do not allow order transfers. χ


Author(s):  
Hongguang Wu ◽  
Yuelin Gao ◽  
Wanting Wang ◽  
Ziyu Zhang

AbstractIn this paper, we propose a vehicle routing problem with time windows (TWVRP). In this problem, we consider a hard time constraint that the fleet can only serve customers within a specific time window. To solve this problem, a hybrid ant colony (HACO) algorithm is proposed based on ant colony algorithm and mutation operation. The HACO algorithm proposed has three innovations: the first is to update pheromones with a new method; the second is the introduction of adaptive parameters; and the third is to add the mutation operation. A famous Solomon instance is used to evaluate the performance of the proposed algorithm. Experimental results show that HACO algorithm is effective against solving the problem of vehicle routing with time windows. Besides, the proposed algorithm also has practical implications for vehicle routing problem and the results show that it is applicable and effective in practical problems.


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