Sweep And Linear Sweep Algorithm As A Vehicle Routing Problem Solution With Simultaneous Pickup And Delivery (VRSPD) Between Two Depots

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Sweep and Linear Sweep Algorithm as a Vehicle Routing Problem Solution with Simultaneous Pickup and Delivery (VRSPD) between two depots

Introduction

The Vehicle Routing Problem with Simultaneous Pickup and Delivery (VRSPD) is a complex challenge faced in logistics management, where the main goal is to determine the most efficient vehicle travel route. In this matter, the vehicle does a stop to take and send goods simultaneously. With increased complexity in route settings, the use of the right algorithm is very crucial. Two common algorithms used to complete VRSPD are sweep algorithms and linear sweep algorithms. This study aims to build a VRSPD mathematical model involving two depots and to determine the shortest route using sweep and linear sweep algorithms.

VRSPD Mathematical Model

The VRSPD mathematical model focuses on optimizing routes for vehicles that must take and deliver goods to 30 agents distributed around the depot. Some of the parameters considered in this model are the distance between the depot and agents, the distance between agents, the number of items that need to be taken and sent by each agent, as well as the capacity of the vehicle. The data used in this study is random data, which reflects the real conditions in the field. By using a sweep and linear sweep algorithm, this study aims to determine the shortest route and compare the effectiveness of the two algorithms.

Sweep and Linear Sweep Algorithm

Sweep Algorithm

The sweep algorithm works by dividing the area that must be passed by vehicles into several sectors, then vehicles are guided to cross the sectors in the most efficient way. Each sector is then assigned to one vehicle to collect and send goods. This approach makes it possible to minimize unnecessary trips, thereby reducing the total mileage. The sweep algorithm is a simple yet effective approach to solving VRSPD, as it takes into account the distance between the depot and agents, as well as the capacity of the vehicle.

Linear Sweep Algorithm

Meanwhile, the Linear Sweep algorithm introduces a more systematic approach in determining the route. This algorithm sorts the agent based on the distance from the depot and then adding these agents to the route according to the predetermined sequence. Although simple, this method often produces more optimal routes compared to more traditional methods. The Linear Sweep algorithm is a more efficient approach to solving VRSPD, as it takes into account the distance between agents and the capacity of the vehicle.

Comparison of Sweep and Linear Sweep Algorithm

The results of the study showed that the combination of sweep and linear sweep algorithm produces a better solution compared to the use of only a linear sweep algorithm. By comparing the total mileage needed by the vehicle, this combined solution can reduce the total distance that must be taken significantly. The combination of sweep and linear sweep algorithm is a more effective approach to solving VRSPD, as it takes into account the distance between the depot and agents, the distance between agents, and the capacity of the vehicle.

Advantages of Sweep and Linear Sweep Algorithm

The use of sweep and linear sweep algorithm simultaneously shows the potential to improve operational efficiency in the logistics sector, especially in the context of taking and sending goods simultaneously. In this growing world, the application of the right algorithm can help companies in managing their resources more efficiently, reduce operational costs, and improve customer service. Therefore, further research in this area is highly recommended to continue to explore the various possibilities that exist in the optimization of the vehicle route.

Conclusion

In conclusion, the sweep and linear sweep algorithm is a effective approach to solving VRSPD, as it takes into account the distance between the depot and agents, the distance between agents, and the capacity of the vehicle. The combination of sweep and linear sweep algorithm produces a better solution compared to the use of only a linear sweep algorithm. Therefore, this research makes an important contribution in the development of solutions methods for VRSPD and highlights the advantages of different algorithm approaches.

Recommendations

Based on the results of this study, the following recommendations are made:

  1. Further Research: Further research is highly recommended to continue to explore the various possibilities that exist in the optimization of the vehicle route.
  2. Implementation of Sweep and Linear Sweep Algorithm: The implementation of sweep and linear sweep algorithm in the logistics sector can help companies in managing their resources more efficiently, reduce operational costs, and improve customer service.
  3. Development of New Algorithm: The development of new algorithm that combines the advantages of sweep and linear sweep algorithm can help to improve operational efficiency in the logistics sector.

Limitations of the Study

The study has some limitations, including:

  1. Random Data: The data used in this study is random data, which may not reflect the real conditions in the field.
  2. Limited Number of Agents: The study only considers 30 agents distributed around the depot, which may not be representative of the real conditions in the field.
  3. Limited Capacity of Vehicle: The study only considers the capacity of the vehicle, which may not be representative of the real conditions in the field.

Future Research Directions

The following are some future research directions:

  1. Development of New Algorithm: The development of new algorithm that combines the advantages of sweep and linear sweep algorithm can help to improve operational efficiency in the logistics sector.
  2. Implementation of Sweep and Linear Sweep Algorithm: The implementation of sweep and linear sweep algorithm in the logistics sector can help companies in managing their resources more efficiently, reduce operational costs, and improve customer service.
  3. Further Research: Further research is highly recommended to continue to explore the various possibilities that exist in the optimization of the vehicle route.
    Q&A: Sweep and Linear Sweep Algorithm as a Vehicle Routing Problem Solution with Simultaneous Pickup and Delivery (VRSPD) between two depots

Q: What is the Vehicle Routing Problem with Simultaneous Pickup and Delivery (VRSPD)?

A: The Vehicle Routing Problem with Simultaneous Pickup and Delivery (VRSPD) is a complex challenge faced in logistics management, where the main goal is to determine the most efficient vehicle travel route. In this matter, the vehicle does a stop to take and send goods simultaneously.

Q: What are the parameters considered in the VRSPD mathematical model?

A: The parameters considered in the VRSPD mathematical model are the distance between the depot and agents, the distance between agents, the number of items that need to be taken and sent by each agent, as well as the capacity of the vehicle.

Q: What is the sweep algorithm?

A: The sweep algorithm works by dividing the area that must be passed by vehicles into several sectors, then vehicles are guided to cross the sectors in the most efficient way. Each sector is then assigned to one vehicle to collect and send goods.

Q: What is the Linear Sweep algorithm?

A: The Linear Sweep algorithm introduces a more systematic approach in determining the route. This algorithm sorts the agent based on the distance from the depot and then adding these agents to the route according to the predetermined sequence.

Q: What are the advantages of using sweep and linear sweep algorithm simultaneously?

A: The use of sweep and linear sweep algorithm simultaneously shows the potential to improve operational efficiency in the logistics sector, especially in the context of taking and sending goods simultaneously. In this growing world, the application of the right algorithm can help companies in managing their resources more efficiently, reduce operational costs, and improve customer service.

Q: What are the limitations of the study?

A: The study has some limitations, including:

  1. Random Data: The data used in this study is random data, which may not reflect the real conditions in the field.
  2. Limited Number of Agents: The study only considers 30 agents distributed around the depot, which may not be representative of the real conditions in the field.
  3. Limited Capacity of Vehicle: The study only considers the capacity of the vehicle, which may not be representative of the real conditions in the field.

Q: What are the future research directions?

A: The following are some future research directions:

  1. Development of New Algorithm: The development of new algorithm that combines the advantages of sweep and linear sweep algorithm can help to improve operational efficiency in the logistics sector.
  2. Implementation of Sweep and Linear Sweep Algorithm: The implementation of sweep and linear sweep algorithm in the logistics sector can help companies in managing their resources more efficiently, reduce operational costs, and improve customer service.
  3. Further Research: Further research is highly recommended to continue to explore the various possibilities that exist in the optimization of the vehicle route.

Q: What are the recommendations of the study?

A: Based on the results of this study, the following recommendations are made:

  1. Further Research: Further research is highly recommended to continue to explore the various possibilities that exist in the optimization of the vehicle route.
  2. Implementation of Sweep and Linear Sweep Algorithm: The implementation of sweep and linear sweep algorithm in the logistics sector can help companies in managing their resources more efficiently, reduce operational costs, and improve customer service.
  3. Development of New Algorithm: The development of new algorithm that combines the advantages of sweep and linear sweep algorithm can help to improve operational efficiency in the logistics sector.

Q: What are the implications of the study?

A: The study has several implications, including:

  1. Improved Operational Efficiency: The use of sweep and linear sweep algorithm simultaneously can help to improve operational efficiency in the logistics sector.
  2. Reduced Operational Costs: The implementation of sweep and linear sweep algorithm in the logistics sector can help companies in reducing operational costs.
  3. Improved Customer Service: The use of sweep and linear sweep algorithm simultaneously can help to improve customer service by reducing the time taken to deliver goods.