Multi-Attribute Decision Making for Energy-Efficient Public Transport Network Selection in Smart Cities
Abstract
:1. Introduction
- We designed the Public Transport-Assisted Data-Dissemination (PTDD) System in a smart city which will be equipped with wireless sensors and data centers to handle massive data using wired, wireless, and public transport networks;
- We applied a Multi-Attribute Decision making (MADM) algorithm for best network selection based upon different user requirements and different attributes;
- We applied the Capacitated Vehicle Routing Problem (CVRP) to minimize energy consumption using public transport as a data carrier. We will use buses to offload the entire set of demands of each bus stop. Our model constrains the objective by the maximum capacity of the bus;
- For the evaluation of the best network selection, different services are considered, based upon user requirements, to find the best network in the heterogeneous network. Next, a detailed comparative analysis of energy consumption is performed for traditional and public transport networks for the various demands of users.
2. Related Work
3. Public Transport-Assisted Data-Dissemination System
3.1. Multi-Attribute Decision Making
- (a)
- Alternatives: Alternatives are defined as several different options to prioritize or select. These can be called candidates, users, or networks, etc.;
- (b)
- Decision Matrix: Any MADM problem can be mathematically defined by using a decision matrix, :
- (c)
- Attribute Weight: Attribute weight is the value obtained by the decision-maker as per each attribute of the network. This weight depends upon the value assigned to the attribute. This weight is calculated by the pairwise comparison matrix;
- (d)
- Normalization: The attribute used for network selection has different measurement units. Therefore, normalization is a necessary step for this calculation.
3.1.1. Initialization Step
- Service’s Requirement: The most important aspect is the user’s requirements. For different users, they have different demands and objectives. In our proposed system, we categorize users’ requirements into three categories, such as Service 1, Service 2, and Service 3. Different services have different levels of sensitivity to the same networking attribute. For example, considering bandwidth as an attribute, if its service 1, a lower bandwidth will be used. However, if it is a large data transfer, a higher bandwidth will be used. In addition to that, it is assumed that a user can select any one service at one time. Users can select the priority of services used. They can select the urgency or non-urgency of data delivery, which relates to the data type, such as delay-tolerant or delay-sensitive, and helps the controller to make optimal network-selection decisions;
- Data Type: Data types belong to the type of application selected by users. It can be delay-tolerant or delay-sensitive. Some of the services, such as video or data type, can be categorized as a real-time or non-real-time application and can, accordingly, be delayed for some time. This is another important piece of information to consider for optimal network selection;
- Network Alternatives: In our proposed work, we are demonstrating the offloading of data from traditional networks to road networks with delay-tolerant conditions. Therefore, to choose among a list of networks, we will be considering WLAN, UMTS, and Vehicular Networks. The controller will choose the best optimal network among these networks based upon user requirements and data type. Three of these networks have different properties. The vehicular network is used for all delay-tolerant applications, such as emails, data backup, video download, and photos, which significantly contribute to energy efficiency without a negative effect on user satisfaction. We assume that all vehicles are equipped with On-Board Units (OBU) to carry data. If we compare the other two networks, WLAN networks are managed for higher bandwidths and lower delay applications, although UMTS networks are the most energy-efficient with lower bandwidth requirements and large delays.
3.1.2. Pre-MADM
- Utility function—theory-based network:Utility functions measure the level of satisfaction for each user as per different attributes of each network alternative. We design utility functions to map decision factors to the respective utility metrics in order to evaluate the decision factors of network selection. We consider user requirements as per their profile, delay-tolerant indicator (DTI), both network properties, and QoS requirements. There are generally three types of utility functions that network selection uses: (1) sigmoid; (2) monotonically increasing; (3) linearly decreasing. These functions are further categorized as beneficial or non-beneficial criteria. The sigmoid utility function is used with given minimum and maximum requirements. Bandwidth and energy efficiency are beneficial criteria and can be represented as a sigmoid function. The utility theory states that utility functions must satisfy twice differentiability, monotonicity, and concavity–convexity [37]. Therefore, we design different utility functions for different objectives. The value of the utility function lies between 0 and 1. For the most satisfied user, it is 1, and for the least satisfied user, it counts as 0.
- Utility function for Energy Efficiency EE: In this utility function, EE, as discussed, is a beneficial criterion, and the energy-efficient utility function will be modeled as a sigmoid curve. The sigmoidal utility function is defined below:
- Utility function for Network Bandwidth: Network Bandwidth is an important attribute for network selection. For three of these networks, the network bandwidth has a different value. When the network bandwidth is lower than the required bandwidth, as per different service requirements, then there is a compromise in QoS, and there will be a loss of packets. We are using the following utility function to define bandwidth requirements for different applications:
- Utility function for Delay Tolerance: Generally, incremental latency values are acceptable in a Delay-Tolerant Networks (DTN). While designing the utility function for network delay tolerance, a larger network delay value will result in a lower utility value. It is a decreasing criterion to measure network delay. Delay varies in both networks as per the data volume. u(d) is defined as a utility function for the delay, as below:
- Utility function for the Delivery Probability: Delivery probability is to be defined as the volume of data to be sent using any of the networks. We defined the utility function of delivery probability as , where , in case of successful delivery, is 1, and otherwise, for packet loss, it will be considered as 0. Otherwise, it lies between 0 and 1. is the delivery probability obtained and is the maximum delivery probability that is acceptable to the user, and is shown in Figure 8.
3.1.3. MADM
- Analytical Hierarchical ProcessThe analytical Hierarchical process (AHP) method is a multi-criteria decision-making process for network selection. It was developed at the Wharton School of Business by Thomas Saaty in the 1970s [38]. AHP works on the function of priority and rank to evaluate subjective weights to achieve the specified goals. We have used this process to select a best-featured network from the given alternatives for the given service class based on the following criteria—Energy Consumption, Bandwidth, Delay, and Delivery Probability. We have also used this process for choosing a priority of network types for each data type. Network weighing is an important factor to characterize the network performance and user’s preferences. We use the hierarchy analysis method to allocate the appropriate weight to each selection metric.We further categorize traditional networks into WLAN and UMTS networks for impartial scheming with different attributes, as shown in Figure 9. The logical flowchart of the AHP algorithm considers the hierarchical structure with the main goal, multiple criteria, and network alternatives to select. We have defined utility functions for all the attributes for a network assessment. A user’s preference will be based on multiple criteria for network selection. We assume that WLAN users have wireless access to their system, but with a fixed location—or we can say a local network—and that they use all their devices to avail the services and disseminate data to nearby RSUs for further transmission. However, they have good speed and bandwidth values. On the other hand, UMTS is a mobile cellular device and can roam around with their data plans, but with limited bandwidths and larger delays as per the delivery probability and data network’s range.
- Subdivide a problem into further sub-problems by defining an objective function, criteria, and possible alternatives. Here, the objective is our goal of achieving optimal network selection. The multiple criteria are the factors affecting the preference for selection.
- Develop the hierarchy model of all objectives along with their elements to obtain the priorities of criteria through pairwise comparison matrices.
- Construct a pairwise comparison matrix for each criterion of hierarchical structure in such a way that all associated criteria are compared with each other as per the intensity of importance [39], with respect to the scale. We believe that a pairwise comparison between alternatives helps for qualitative judgment. This qualitative pairwise comparison follows the importance scale, as shown in Table 1.
- Perform the normalization of a given matrix P, which is now denoted as :
- The contributions of each normalized metric are multiplied by the assigned importance weight wj, and can be calculated for the ith criteria, as below:
- Calculate the consistency index, where is the largest eigenvalue of , and it is determined from the eigenvalue computation of :
- In the last step, evaluate the consistency of the comparison using the Consistency Ratio (CR), defined as:In such a way, AHP helps with network selection among different networks based upon different attributes. After the selection of the public transport network, the next section will elaborate further about allocating data onto buses as per their stay-time at each bus stop.
3.2. Capacitated Vehicle Routing Problem (CVRP)
- Problem DefinitionTo offload data onto buses, there is n number of demands being fulfilled by a DC, and a nearby stop is a depot to start the bus journey and return to the same bus stop after finishing its route. B is the set of buses, CB is the capacity of the bus, D is the deadline for the message delivery, which also considers the number of trips being taken by a bus. Each DC has different demands di for different locations. We define our problem in a graph , where is a set of all nodes of the graph and E is the set of edges . Arc represents the path from node i to node j. The energy cost is calculated for each bus to carry data from the source until the destination. The minimum number of buses required to fulfill all the demands is . The controller will assign demands onto each bus as per the destination location. A CVRP can be formulated as follows:Objective: To minimizeSubjected to:
4. Numerical Analysis and Results
4.1. Case Study I
4.1.1. Service 1
4.1.2. Service 2
4.1.3. Service 3
4.2. Network Selection for Different Services
Algorithm 1 Optimal Network Selection | |
Input | : Different services as per user’s profile: energy efficient , delivery probability , delay demand , available bandwidth of both networks, available network list . |
Output | : Decision factor weight and rank of selected newtork, energy efficient weight , bandwidth weight , delivery probability weight , delay weight . |
|
4.3. Case Study II
5. Discussion
6. Conclusions and Future Work
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Preferences as per Importance | Definition |
---|---|
1 | Equal Importance |
3 | Moderate importance |
5 | Strong importance |
7 | Very strong importance |
9 | Extreme importance |
2, 4, …, 8 | Intermediate values |
N | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
RI | 0 | 0 | 0.58 | 0.9 | 1.12 | 1.24 | 1.32 | 1.41 | 1.45 | 1.49 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability |
---|---|---|---|---|
Energy Efficiency | 1 | 7 | 9 | 3 |
Bandwidth | 1/3 | 1 | 7 | 2 |
Delay Tolerance | 1/9 | 1/7 | 1 | 1/5 |
Delivery probability | 1/3 | 1/2 | 5 | 1 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability | Critera Weight |
---|---|---|---|---|---|
Energy Efficiency | 1 | 7 | 9 | 3 | 0.530345069 |
Bandwidth | 1/3 | 1 | 7 | 2 | 0.164911216 |
Delay Tolerance | 1/9 | 1/7 | 1 | 1/5 | 0.041457905 |
Delivery probability | 1/7 | 1/2 | 5 | 1 | 0.280751063 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability | Critera Weight | Priority Vector |
---|---|---|---|---|---|---|
Energy Efficiency | 1 | 3 | 9 | 7 | 0.530345069 | 0.5289 |
Bandwidth | 1/3 | 1 | 7 | 2 | 0.164911216 | 0.1582 |
Delay Tolerance | 1/9 | 1/7 | 1 | 1/5 | 0.041457905 | 0.0366 |
Delivery probability | 1/7 | 1/2 | 5 | 1 | 0.280751063 | 0.2763 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability |
---|---|---|---|---|
Energy Efficiency | 1 | 7 | 1 | 5 |
Bandwidth | 1/7 | 1 | 1/7 | 2 |
Delay Tolerance | 1 | 7 | 1 | 7 |
Delivery probability | 1/5 | 1/2 | 1/7 | 1 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability | Criteria Weight |
---|---|---|---|---|---|
Energy Efficiency | 1 | 7 | 1 | 5 | 0.42274576 |
Bandwidth | 1/7 | 1 | 1/7 | 2 | 0.08567345 |
Delay Tolerance | 1 | 7 | 1 | 7 | 0.45678945 |
Delivery probability | 1/5 | 1/2 | 1/7 | 1 | 0.06435676 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability | Critera Weight | Priority Vector |
---|---|---|---|---|---|---|
Energy Efficiency | 1 | 7 | 1 | 5 | 0.42274576 | 0.4163 |
Bandwidth | 1/7 | 1 | 1/7 | 2 | 0.08567345 | 0.0782 |
Delay Tolerance | 1 | 7 | 1 | 7 | 0.45678945 | 0.4455 |
Delivery probability | 1/5 | 1/2 | 1/7 | 1 | 0.06435676 | 0.0599 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability |
---|---|---|---|---|
Energy Efficiency | 1 | 1/6 | 1/6 | 1/7 |
Bandwidth | 6 | 1 | 3 | 1 |
Delay Tolerance | 6 | 1/3 | 1 | 1/5 |
Delivery probability | 7 | 1 | 5 | 1 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability | Criteria Weight |
---|---|---|---|---|---|
Energy Efficiency | 1 | 1/6 | 1/6 | 1/7 | 0.05355183 |
Bandwidth | 6 | 1 | 3 | 1 | 0.36439882 |
Delay Tolerance | 6 | 1/3 | 1 | 1/5 | 0.15369319 |
Delivery probability | 7 | 1 | 5 | 1 | 0.4540202 |
Attributes | Energy Efficiency | Bandwidth | Delay Tolerance | Delivery Probability | Criteria Weight | Priority Vector |
---|---|---|---|---|---|---|
Energy Efficiency | 1 | 1/6 | 1/6 | 1/7 | 0.05355183 | 0.0459 |
Bandwidth | 6 | 1 | 3 | 1 | 0.36439882 | 0.3613 |
Delay Tolerance | 6 | 1/3 | 1 | 1/5 | 0.15369319 | 0.1499 |
Delivery probability | 7 | 1 | 5 | 1 | 0.45402002 | 0.4429 |
Number of Buses per Day | Demands from Destination Stop (TB) | Distance from Depot (0) (Km) | Bus Capacity (TB) |
---|---|---|---|
1 | 10 | 5.48 | 150 |
2 | 10 | 7.76 | 150 |
3 | 20 | 6.95 | 150 |
4 | 40 | 5.82 | 150 |
5 | 20 | 2.74 | 150 |
6 | 40 | 5.02 | 150 |
7 | 80 | 1.94 | 150 |
8 | 80 | 3.08 | 150 |
9 | 10 | 1.94 | 150 |
10 | 20 | 5.36 | 150 |
11 | 10 | 5.02 | 150 |
12 | 20 | 3.88 | 150 |
13 | 40 | 3.54 | 150 |
14 | 40 | 4.68 | 150 |
15 | 80 | 7.76 | 150 |
16 | 80 | 6.62 | 150 |
Bus Number | Selected Route | Total Distance Covered During the Trip |
---|---|---|
B1 | 0-3-4-1-7-0 | 12 km |
B2 | 0-5-8-6-2-0 | 13 km |
B3 | 0-13-15-11-12-0 | 12 km |
B4 | 0-9-14-16-10-0 | 13 km |
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Munjal, R.; Liu, W.; Li, X.; Gutierrez, J.; Chong, P.H.J. Multi-Attribute Decision Making for Energy-Efficient Public Transport Network Selection in Smart Cities. Future Internet 2022, 14, 42. https://doi.org/10.3390/fi14020042
Munjal R, Liu W, Li X, Gutierrez J, Chong PHJ. Multi-Attribute Decision Making for Energy-Efficient Public Transport Network Selection in Smart Cities. Future Internet. 2022; 14(2):42. https://doi.org/10.3390/fi14020042
Chicago/Turabian StyleMunjal, Rashmi, William Liu, Xuejun Li, Jairo Gutierrez, and Peter Han Joo Chong. 2022. "Multi-Attribute Decision Making for Energy-Efficient Public Transport Network Selection in Smart Cities" Future Internet 14, no. 2: 42. https://doi.org/10.3390/fi14020042
APA StyleMunjal, R., Liu, W., Li, X., Gutierrez, J., & Chong, P. H. J. (2022). Multi-Attribute Decision Making for Energy-Efficient Public Transport Network Selection in Smart Cities. Future Internet, 14(2), 42. https://doi.org/10.3390/fi14020042