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<front>
<journal-meta>
<journal-id journal-id-type="pmc">CSSE</journal-id>
<journal-id journal-id-type="nlm-ta">CSSE</journal-id>
<journal-id journal-id-type="publisher-id">CSSE</journal-id>
<journal-title-group>
<journal-title>Computer Systems Science &#x0026; Engineering</journal-title>
</journal-title-group>
<issn pub-type="ppub">0267-6192</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">16730</article-id>
<article-id pub-id-type="doi">10.32604/csse.2022.016730</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Optimizing Traffic Signals in Smart Cities Based on Genetic Algorithm</article-title>
<alt-title alt-title-type="left-running-head">Optimizing Traffic Signals in Smart Cities Based on Genetic Algorithm</alt-title>
<alt-title alt-title-type="right-running-head">Optimizing Traffic Signals in Smart Cities Based on Genetic Algorithm</alt-title>
</title-group>
<contrib-group content-type="authors">
<contrib id="author-1" contrib-type="author" corresp="yes">
<name name-style="western">
<surname>Al-Madi</surname>
<given-names>Nagham A.</given-names>
</name>
<xref ref-type="aff" rid="aff-1"/>
<email>Nagham.a@zuj.edu.jo</email>
</contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western">
<surname>Hnaif</surname>
<given-names>Adnan A.</given-names>
</name>
<xref ref-type="aff" rid="aff-1"/>
</contrib>
<aff id="aff-1">
<institution>Al-Zaytoonah University of Jordan, Faculty of Science and Information Technology</institution>, <addr-line>Amman, 11733</addr-line>, <country>Jordan</country></aff>
</contrib-group><author-notes><corresp id="cor1">&#x002A;Corresponding Author: Nagham A. Al-Madi. Email: <email>Nagham.a@zuj.edu.jo</email></corresp></author-notes>
<pub-date pub-type="epub" date-type="pub" iso-8601-date="2021-08-12">
<day>12</day>
<month>8</month>
<year>2021</year>
</pub-date>
<volume>40</volume>
<issue>1</issue>
<fpage>65</fpage>
<lpage>74</lpage>
<history>
<date date-type="received">
<day>10</day>
<month>1</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>3</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2022 Al-Madi and Hnaif</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Al-Madi and Hnaif</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_CSSE_16730.pdf"></self-uri>
<abstract>
<p>Current traffic signals in Jordan suffer from severe congestion due to many factors, such as the considerable increase in the number of vehicles and the use of fixed timers, which still control existing traffic signals. This condition affects travel demand on the streets of Jordan. This study aims to improve an intelligent road traffic management system (IRTMS) derived from the human community-based genetic algorithm (HCBGA) to mitigate traffic signal congestion in Amman, Jordan&#x2019;s capital city. The parameters considered for IRTMS are total time and waiting time, and fixed timers are still used for control. By contrast, the enhanced system, called enhanced-IRTMS (E-IRTMS), considers additional important parameters, namely, the speed performance index (SPI), speed reduction index (SRI), road congestion index (R<sub>i</sub>), and congestion period, to enhance IRTMS decision. A significant reduction in congestion period was measured using E-IRTMS, improving by 13% compared with that measured using IRTMS. Meanwhile, the IRTMS result surpasses that of the current traffic signal system by approximately 83%. This finding demonstrates that the E-IRTMS based on HCBGA and with unfixed timers achieves shorter congestion period in terms of SPI, SRI, and R<sub>i</sub> compared with IRTMS.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Genetic algorithm</kwd>
<kwd>traffic signal congestion</kwd>
<kwd>smart cities</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>The concept of a smart city started in the early 1990s with the introduction of emerging technologies [<xref ref-type="bibr" rid="ref-1">1</xref>], such as mobile phones, wireless networks, the Global Positioning System (GPS), and the Internet of things [<xref ref-type="bibr" rid="ref-2">2</xref>]. These technologies are also examples of the core principles of an intelligent city. They were introduced to companies and government agencies to improve quality of life and ensure the effective mobility of people and goods.</p>
<p>At present, the intention of researchers and scientists has progressed to finding the best localization methods for optimizing wireless sensor networks (WSNs) due to the rapid worldwide expansion of Internet applications to nearly all aspects of life, particularly in science and technology. In general, WSNs consist of a small group of low-cost sensor nodes that communicate with one another with certain memory, energy, and processing power constraints imposed in wireless form [<xref ref-type="bibr" rid="ref-3">3</xref>].</p>
<p>WSNs are similar to wireless <italic>ad hoc</italic> networks, which are characterized by networking and an automatic network structure that transmits sensor data in wireless form [<xref ref-type="bibr" rid="ref-4">4</xref>]. In real life, WSNs are distributors of self-sufficient sensors that are capable of tracking or monitoring physical or external conditions [<xref ref-type="bibr" rid="ref-5">5</xref>]. Data can be transferred to a significant location through an array of natural phenomena, such as temperature, sound, and pressure [<xref ref-type="bibr" rid="ref-6">6</xref>]. An example of a good layout for WSNs is presented in <xref ref-type="fig" rid="fig-1">Fig. 1</xref>.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Example of a good layout for WSNs</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="CSSE_16730-fig-1.png"/>
</fig>
<p>Traffic signal congestion, which is a recent a global phenomenon, is a widespread problem that arises from high population density [<xref ref-type="bibr" rid="ref-7">7</xref>]. The number of vehicles has grown tremendously in recent years [<xref ref-type="bibr" rid="ref-8">8</xref>]. For example, the Bureau of Transportation Statistics registered more than 254 million passenger vehicles in the USA in 2017 [<xref ref-type="bibr" rid="ref-9">9</xref>]. The Hashemite Kingdom of Jordan suffers from the same problem, with the latest statistics showing that the number of registered vehicles reached more than 1.5 million in December 2017 [<xref ref-type="bibr" rid="ref-10">10</xref>].</p>
<p>Despite the availability of various applications for tracking traffic signals to minimize congestion and delays in road networks [<xref ref-type="bibr" rid="ref-11">11</xref>], none of these applications can respond to the challenges posed by traffic signaling in smart cities [<xref ref-type="bibr" rid="ref-12">12</xref>]. Thus, improving the condition of traffic signals requires additional effort to reduce travel time and traffic signal congestion [<xref ref-type="bibr" rid="ref-13">13</xref>]. These issues should be discussed comprehensively to resolve traffic signal congestion, particularly during peak times [<xref ref-type="bibr" rid="ref-14">14</xref>]. The current study improves an intelligent road traffic management system (IRTMS) [<xref ref-type="bibr" rid="ref-15">15</xref>] to reduce the congestion periods of traffic signals in Amman, the capital of Jordan.</p>
<p>The congestion of traffic signals is a major concern in transport networks [<xref ref-type="bibr" rid="ref-16">16</xref>]. Traffic congestion is a serious issue that affects the lives of thousands of people worldwide [<xref ref-type="bibr" rid="ref-17">17</xref>]. Many methods use real-time traffic information measured or obtained using video cameras to optimize break periods between traffic signals [<xref ref-type="bibr" rid="ref-18">18</xref>].</p>
<p>Several solutions have been proposed and applied to address the issue of traffic signal congestion [<xref ref-type="bibr" rid="ref-19">19</xref>]. Many of these solutions are based on complex control signals at a single intersection [<xref ref-type="bibr" rid="ref-20">20</xref>].</p>
<p>The congestion of smart cities is dependent on various factors [<xref ref-type="bibr" rid="ref-21">21</xref>], such as additional demands, signals, incidents, work sites, and weather events [<xref ref-type="bibr" rid="ref-22">22</xref>]. Two types of congestion typically exist. The first type is the recurrent congestion of traffic signals. This type may include traffic and capacity enclosure, insufficient transport services, traffic variances, and inadequate traffic control. The second type is nonrecurring traffic loads, including accidents, work sites, weather events, and other extraordinary occurrences [<xref ref-type="bibr" rid="ref-23">23</xref>].</p>
<p>Numerous congestion initiatives that consider various performance traffic parameters have been developed to calculate congestion degree [<xref ref-type="bibr" rid="ref-23">23</xref>]. Some of these traffic parameters are speed, delay, level of service, congestion indices, and federal congestion measures. These traffic parameters can vary from one country to another [<xref ref-type="bibr" rid="ref-24">24</xref>].</p>
<p>Many serious traffic accidents, fatalities, and injuries have been reported in Jordan as a result of the increase in the number of vehicles [<xref ref-type="bibr" rid="ref-24">24</xref>]. Jordan is one of the leading countries in the world in terms of traffic incidents [<xref ref-type="bibr" rid="ref-24">24</xref>]. Fixed timers are still used in existing traffic signal networks in Jordan. In particular, traffic problems and congestions are worsening on the streets of its capital, Amman. Drivers can get stuck in traffic for a long period [<xref ref-type="bibr" rid="ref-25">25</xref>]. As this problem worsens, serious measures must be implemented to address the underlying issues. The following parameters are considered in the current study.</p>
<sec id="s1_1">
<label>1.1</label>
<title>Speed</title>
<p>The speed reduction index (SRI), which refers to the relative speed ratio, varies between congested and free-flow conditions. It is given by <xref ref-type="disp-formula" rid="eqn-1">Eq. (1)</xref> [<xref ref-type="bibr" rid="ref-14">14</xref>].</p>
<p><disp-formula id="eqn-1">
<label>(1)</label>
<!--<alternatives>
<graphic mimetype="image" mime-subtype="png" xlink:href="eqn-1.png"/><tex-math id="tex-eqn-1"><![CDATA[$${\rm SRI\; } = {\rm \; }\left( {1\; - \displaystyle{{{v_{ac}}} \over {{v_{ff}}}}} \right) \times \; 10\; {\rm \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; }$$]]></tex-math>--><mml:math id="mml-eqn-1" display="block"><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">R</mml:mi><mml:mi mathvariant="normal">I</mml:mi><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow><mml:mo>&#x003D;</mml:mo><mml:mrow><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mspace width="thickmathspace"></mml:mspace><mml:mo>&#x2212;</mml:mo><mml:mstyle scriptlevel="0" displaystyle="true"><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:mspace width="thickmathspace"></mml:mspace><mml:mn>10</mml:mn><mml:mspace width="thickmathspace"></mml:mspace><mml:mrow><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow></mml:math>
<!--</alternatives>--></disp-formula></p>
<p>SRI denotes the proportion of speed decreases from free flow conditions. In general, free-flow speed refers to the average speed during the off-peak period.</p>
<p>The SRI ratio is multiplied by 10 to keep the SRI value within the range of 0 to 10. Congestion occurs when the index value exceeds 4 to 5. Values less than 4 indicate a non-congested condition. This measure represents the ratio of decline in speed from free-flow conditions. It provides an approach for comparing congestion amount in different transportation facilities. This process is achieved using a continuous scale to differentiate among different congestion levels. Under peak conditions, an index can be applied to entire roads, entire metropolitan areas, or individual highway segments.</p>
<p>The speed performance index (SPI) assesses a smart city route and measures traffic conditions in intelligent cities. It is the ratio of vehicle speed to the maximum allowable speed as indicated in <xref ref-type="disp-formula" rid="eqn-2">Eq. (2)</xref> [<xref ref-type="bibr" rid="ref-26">26</xref>].</p>
<p><disp-formula id="eqn-2">
<label>(2)</label>
<!--<alternatives>
<graphic mimetype="image" mime-subtype="png" xlink:href="eqn-2.png"/><tex-math id="tex-eqn-2"><![CDATA[$${\rm SPI\; } = {\rm \; }\left( {{v_{avg}}\; /{v_{max}}\; } \right)\; \times \; 100,{\rm \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; }$$]]></tex-math>--><mml:math id="mml-eqn-2" display="block"><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mi mathvariant="normal">I</mml:mi><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow><mml:mo>&#x003D;</mml:mo><mml:mrow><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>v</mml:mi><mml:mi>g</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mspace width="thickmathspace"></mml:mspace><mml:mrow><mml:mo>/</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mrow><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mspace width="thickmathspace"></mml:mspace><mml:mo>&#x00D7;</mml:mo><mml:mspace width="thickmathspace"></mml:mspace><mml:mn>100</mml:mn><mml:mo>,</mml:mo><mml:mrow><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace><mml:mspace width="thickmathspace"></mml:mspace></mml:mrow></mml:math>
<!--</alternatives>--></disp-formula></p>
<p>where SPI indicates speed, v<sub>avg</sub> specifies the average speed of a journey, and v<sub>max</sub> indicates the maximum allowable speed of a lane.</p>
<p>To quantify the degree of traffic congestion on the basis of this indicator, the level of traffic congestion can be defined as SPI values ranging from 0 to 100 [<xref ref-type="bibr" rid="ref-14">14</xref>] with three threshold values (25, 50, and 75). The criteria for urban traffic congestion classification are listed in <xref ref-type="table" rid="table-1">Tab. 1</xref>.</p>
<table-wrap id="table-1">
<label>Table 1</label>
<caption>
<title>SPI with traffic state [<xref ref-type="bibr" rid="ref-7">7</xref>]</title>
</caption>
<table>
<colgroup>
<col/>
<col/>
<col/>
</colgroup>
<thead>
<tr>
<th>SPI</th>
<th>Traffic congestion level</th>
<th>Description of traffic congestion level</th>
</tr>
</thead>
<tbody>
<tr>
<td>(0 to 25)</td>
<td>Heavy congestion</td>
<td>Low average speed, high congestion level</td>
</tr>
<tr>
<td>(25 to 50)</td>
<td>Mild congestion</td>
<td>Lower average speed, medium congestion level</td>
</tr>
<tr>
<td>(50 to 75)</td>
<td>Smooth</td>
<td>Higher average speed, low congestion level</td>
</tr>
<tr>
<td>(75 to 100)</td>
<td>Very smooth</td>
<td>High average speed, no congestion level</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s1_2">
<label>1.2</label>
<title>Road Congestion Indices</title>
<p>Congestion indices have two categories: the road congestion index and the congestion index of a highway segment (R<sub>i</sub>). Hnaif et al. [<xref ref-type="bibr" rid="ref-16">16</xref>] considered the congestion index for a road segment (R<sub>i</sub>).</p>
<p>Traffic wherein SPI is above 50 is classified under non-congestion state. The value of R<sub>i</sub> ranges from 0 to 1. The smaller the value of R<sub>i</sub>, the more congested a road segment [<xref ref-type="bibr" rid="ref-26">26</xref>].</p>
<p>Congested hours reflect the average amount of time in designated road sections [<xref ref-type="bibr" rid="ref-27">27</xref>]. Speeds below 90% of the weekday free-flow rate are considered congested for a weekday (06:00 to 22:00). For example, when free-flow speed is 60 mph and most vehicles drive at an average of 54 mph, then the state is considered congested [<xref ref-type="bibr" rid="ref-24">24</xref>].</p>
</sec>
</sec>
<sec id="s2">
<label>2</label>
<title>Related Work</title>
<p>This section introduces recent studies on solving the traffic signal congestion problem.</p>
<p>The key objective of a traffic monitoring signal is the transition from competing sources of traffic with an acceptable output [<xref ref-type="bibr" rid="ref-14">14</xref>]. Various experiments have presented different results in reducing traffic signal congestion.</p>
<p>In Rao et al. [<xref ref-type="bibr" rid="ref-28">28</xref>], the authors compared the performance metrics with the main case and selected a simulation approach to test congestion mitigation policies and improvements. Five mitigation scenarios, namely, base cases, traffic control, high road building, bus transportation, and dedicated bus lanes, were developed. To measure these scenarios, traffic levels, average speed, network efficiency of individual connections, delayed travel, congestion index changes, and travel time were included in the selected performance metrics. The results suggested that traffic management option works better than other solutions.</p>
<p>In Gao et al. [<xref ref-type="bibr" rid="ref-29">29</xref>], the authors proposed a substantial reinforcement algorithm. This algorithm extracts all necessary characteristics from raw real-time traffic data (machine-created features) and identifies the ideal policy for adjustable signal control. The authors retrieved knowledge and targeted network stability mechanisms. The simulation result indicated that the longest queue algorithm and the fixed time control algorithm were reduced by up to 47% and 86%, respectively, compared with two common algorithms.</p>
<p>A survey on congestion initiatives in the field of road transport was conducted on a sustainable and resilient transport system [<xref ref-type="bibr" rid="ref-7">7</xref>]. Historical data sets for the daily and weekly traffic of current indicators were compared by implementing them on daily and weekly bases. The findings of this previous study indicated major improvements in congestion conditions and a related trend in congestion. The authors offered a positive insight into creating a sustainable and resilient traffic management system. In addition, they proposed an effective model for deepening the learning of traffic signal control. The approach was evaluated on large-scale real traffic data from sensors.</p>
<p>Hnaif et al. [<xref ref-type="bibr" rid="ref-15">15</xref>] introduced a smart road traffic management framework, called IRTMS, which was derived from the human community-based genetic algorithm (HCBGA). Total time and waiting time were shorter in IRTMS compared with those in the existing traffic system in Jordan.</p>
<p>A smart traffic light management system (TLBH) and a decision support system based on the Hamiltonian routing technique were developed in Hnaif et al. [<xref ref-type="bibr" rid="ref-16">16</xref>]. This previous research developed a system that minimizes waiting time for vehicle traffic signals, which, in turn, can reduce vehicle congestion.</p>
<p>Several scenarios were established. Three of these scenarios were implemented on MATLAB programming language and applied to the framework on the basis of particular rules. The simulation results showed substantive changes in TLBH relative to the existing traffic system on the basis of sufficient testing scenarios. Compared with the current traffic structure, the proposed methodology achieves minimum total time and waiting time in all the scenarios [<xref ref-type="bibr" rid="ref-25">25</xref>].</p>
<p>In Hanbali et al. [<xref ref-type="bibr" rid="ref-27">27</xref>], examples of current practices were presented to provide a consistent system of traffic signal installations in Jordan. Traffic signals and their indications should obtain the obedience of most, if not all of the drivers, as one of the results of implementing this uniform system. That is, drivers&#x2019; compliance with traffic signal controls is achieved; moreover, the uniform system will provide a solid basis for the sound and effective enforcement of traffic signal monitoring.</p>
<p>A simple system was proposed for Jordan to count the number of vehicles on each traffic signal intersection by using an infrared sensor and to consider the length of vehicles. The proposed system aims to provide statistics and obtain the number of vehicles and their directions on a traffic signal [<xref ref-type="bibr" rid="ref-30">30</xref>].</p>
</sec>
<sec id="s3">
<label>3</label>
<title>Proposed Methodology</title>
<p>Current traffic signals in Jordan are insufficient for dealing with the issue of congestion at intersections because fixed timers are still used. Moreover, a road is divided into three lanes. This condition is inflexible, and it triggers traffic problems when it is combined with the use of fixed timers. Therefore, enhanced-IRTMS (E-IRTMS), is proposed in the current study to deal with the congestion of traffic signals in Amman, Jordan.</p>
<p>Various parameters have been used to calculate congestion level in accordance with the result requirements. E-IRTMS is improved by considering three major parameters: SRI, SPI, and R<sub>i</sub>. The steps of E-IRTMS are described as follows.</p>
<table-wrap id="table-2">
<table>
<colgroup>
<col/>
</colgroup>
<thead>
<tr>
<th>E-IRTMS steps</th>
</tr>
</thead>
<tbody>
<tr>
<td>Step 1: Traffic data are collected using sensors.</td>
</tr>
<tr>
<td>Step 2: HCBGA receives the collected data</td>
</tr>
<tr>
<td>Step 3: HCBGA calculates SRI, SPI, and R<sub>i</sub>.</td>
</tr>
<tr>
<td>Step 4: SRI, SPI, and R<sub>i</sub> are added to the following parameters: intersection ID and vehicle number to the chromosome.</td>
</tr>
<tr>
<td>Step 5: For the same intersection ID, check the following values of the chromosome:</td>
</tr>
<tr>
<td>&#x2003;&#x2003;&#x2003;&#x2003;if (SRI &#x003E; 6) or (SPI &#x003C; 50) or (R<sub>i</sub> reaches 0), then apply 5.1; ELSE apply 5.2.</td>
</tr>
<tr>
<td>&#x2003;&#x2003;5.1 HCBGA makes the appropriate decision (i.e., change a traffic signal between intersections from red to green) in the fitness value of the chromosome as follows:</td>
</tr>
<tr>
<td>&#x2003;&#x2003;&#x2003;&#x2003;&#x2003;fitness value &#x003D; &#x201C;GREEN&#x201D;</td>
</tr>
<tr>
<td>&#x2003;&#x2003;&#x2003;&#x2003;&#x2003;Return to Step 3.</td>
</tr>
<tr>
<td>&#x2003;&#x2003;5.2 Check the following values of the chromosome:</td>
</tr>
<tr>
<td>&#x2003;&#x2003;&#x2003;&#x2003;if (SRI &#x2264; 6) or (SPI &#x2265; 50) or (R<sub>i</sub> reaches 1)</td>
</tr>
<tr>
<td>&#x2003;&#x2003;&#x2003;&#x2003;&#x2003;fitness value &#x003D; &#x201C;RED&#x201D;</td>
</tr>
<tr>
<td>&#x2003;&#x2003;&#x2003;&#x2003;&#x2003;Return to Step 1.</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>A sensor collects the following parameters at each intersection: intersection ID, number of vehicles, congestion time, average speed, and the time of each vehicle observed. The collected data for a traffic signal are forwarded to HCBGA, which accepts the input and measures SRI, SPI, and R<sub>i</sub>.</p>
<p>Subsequently, the population&#x2019;s chromosome initialization will begin. Each chromosome comprises an intersection ID, a vehicle number, SRI, SPI, R<sub>i</sub>, and a measured individual fitness value.</p>
<p>Then, HCBGA changes a traffic signal between intersections from red to green on the basis of the previous criteria. If SRI &#x003E; 6, SPI &#x003C; 50, or R<sub>i</sub> &#x003E; 0, then a traffic signal intersection remains congested. Therefore, the decision is to keep this crossroad green until one of the previous constraints varies.</p>
<sec id="s3_1">
<label>3.1</label>
<title>Test Data Sets</title>
<p>As previously stated, measures were evaluated using real-time traffic data sets to determine the robustness and accuracy of each measure in a traffic situation.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Data Set Description</title>
<p>A congestion assessment that included SRI, SPI, and R<sub>i</sub> was conducted. The current study observed and documented vehicles at the Al-Assaf traffic signal intersection/Khalda from December 1, 2020 to December 31, 2020.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Benchmark</title>
<p>To assess the efficiency of E-IRTMS, various tests were conducted in comparison with IRTMS to measure the processing time required to change the traffic light to green for vehicles.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>System Requirements</title>
<p>The subsequent section presents the setting of the experiment of the proposed E-IRTMS and its implementation. All the experiments were performed on an HP laptop with Intel<sup>&#x00AE;</sup> Core&#x2122; i5 (2.40 GHz).</p>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Experimental Results and Analysis</title>
<p>The genetic algorithm chooses the fittest (best) chromosome from a randomly generated population [<xref ref-type="bibr" rid="ref-31">31</xref>,<xref ref-type="bibr" rid="ref-32">32</xref>]. The most suitable option for moving between intersections from red to green is the best priority in accordance with traffic signal congestion. That is, HCBGA [<xref ref-type="bibr" rid="ref-33">33</xref>] determines the green period during which traffic signals are provided.</p>
<p>The representation of chromosomes includes intersection ID, SRI, SPI, traffic density, R<sub>i</sub>, congestion time, and fitness value [<xref ref-type="bibr" rid="ref-34">34</xref>]. During off-peak hours, a driver generally takes only 2 min to cross the road [<xref ref-type="bibr" rid="ref-35">35</xref>]. In peak hours, however, a driver is estimated to require 4&#x2013;5 min to travel the same road section depending on the congestion level [<xref ref-type="bibr" rid="ref-36">36</xref>&#x2013;<xref ref-type="bibr" rid="ref-38">38</xref>]. Various comparisons were made to demonstrate the effect of the improved E-IRTMS on the reduction of road signals.</p>
<p>The SRI results for IRTMS and E-IRTMS are presented in <xref ref-type="fig" rid="fig-2">Fig. 2</xref>. The SRI of E-IRTMS is better than that of IRTMS. The former is less than that of the latter, and thus, traffic congestion is less in E-IRTMS than in IRTMS.</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>SRI results of E-IRTMS and IRTMS</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="CSSE_16730-fig-2.png"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="fig-3">Fig. 3</xref>, the SPI of E-IRTMS decreases more than that of IRTMS. The results obtained indicate that E-IRTMS is more competitive than IRTMS. Peak time congestion in E-IRTMS occurs during weekdays from 06:00 to 08:00 and from 18:00 to 20:00.</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>SPI results of E-IRTMS and IRTMS</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="CSSE_16730-fig-3.png"/>
</fig>
<p>Peak time in IRTMS exceeds peak time in E-IRTMS over the same time span, indicating that E-IRTMS outperforms IRTMS.</p>
<p>As mentioned in Afrin et al. [<xref ref-type="bibr" rid="ref-7">7</xref>], SPI is calculated on the basis of three threshold values (25, 50, and 75). The lower the threshold value, the higher the level of traffic signal congestion [<xref ref-type="bibr" rid="ref-37">37</xref>].</p>
<p>As shown in <xref ref-type="fig" rid="fig-4">Fig. 4</xref>, the R<sub>i</sub> of E-IRTMS is higher than that of IRTMS, leading to lower congestion in E-IRTMS than that in IRTMS. Furthermore, the R<sub>i</sub> of E-IRTMS reaches approximately 1 in this case, indicating less traffic signal congestion than that of IRTMS, whose R<sub>i</sub> reaches approximately 0 (<xref ref-type="fig" rid="fig-4">Fig. 4</xref>). As suggested in Afrin et al. [<xref ref-type="bibr" rid="ref-7">7</xref>], traffic congestion increases when R<sub>i</sub> reaches approximately 0 [<xref ref-type="bibr" rid="ref-38">38</xref>].</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>R<sub>i</sub> results of E-IRTMS and IRTMS</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="CSSE_16730-fig-4.png"/>
</fig>
<p>Accordingly, a conclusion can be drawn that E-IRTMS is better than IRTMS. R<sub>i</sub> has higher values, resulting in less E-IRTMS traffic congestion. By contrast, the R<sub>i</sub> of IRTMS reaches the minimum value. During weekends from 12:00 to 14:00, peak time congestion reaches a high value in E-IRTMS. This finding can be attributed to people coming out of mosques after attending Friday prayers.</p>
<p>In addition to the R<sub>i</sub> of IRTMS, the peak value of working time is between 16:00 and 18:00. Other congestion rates reach the highest value over the period of 12:00&#x2013;14:00 because various businesses end their working hours.</p>
<p>The relation of congestion time between E-IRTMS and IRTMS is illustrated in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>. The peak times of E-IRTMS and IRTMS are nearly the same. This finding is attributed to people going to school, university, and work at 16:00&#x2013;18:00. Meanwhile, the time when people leave school, university, and work is known as rush hour.</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>Performance in terms of congestion period of E-IRTMS and IRTMS</title>
</caption>
<graphic mimetype="image" mime-subtype="png" xlink:href="CSSE_16730-fig-5.png"/>
</fig>
<p>During weekends, peak times differ from 12:00 to 14:00 due to the time when Friday prayers end in mosques. Another peak time is from 14:00 to 20:00 because most people go on holidays, visit relatives and friends, go shopping, or hang out at coffee shops or restaurants. In addition, the period of 22:00&#x2013;00:00 is another peak time because people are coming back home.</p>
<p>Despite the peak times being nearly the same in E-IRTMS and IRTMS, the E-IRTMS period is less congested than the IRTMS period. This finding indicates that the performance of E-IRTMS is better than that of IRTMS in mitigating traffic congestion by approximately 23%.</p>
</sec>
<sec id="s5">
<label>5</label>
<title>Conclusions</title>
<p>The contribution of the E-IRTMS based on HCBGA is the use of traffic signals with unfixed timers. E-IRTMS also substantially reduces congested traffic signals compared with IRTMS. Data are passed on to a genetic algorithm, which transmits the parameters to a chromosome. HCBGA determines the priority for changing to green light between intersections in accordance with the chromosome&#x2019;s fittest value. The results obtained via E-IRTMS are more effective than those obtained via IRTMS by approximately 23%.</p>
<p>This study also determines that in addition to R<sub>i</sub> being approximately 1, E-IRTMS exhibits the highest SPI, with an SRI of less than 4. Furthermore, E-IRTMS is essential for an actual traffic system. E-IRMS is more successful than IRTMS. On the basis of the aforementioned findings, E-IRTMS can help drivers mitigate traffic signal congestion.</p>
</sec>
</body>
<back>
<ack>
<p>The authors would like to thank AL-Zaytoonah University of Jordan for its support to this research.</p>
</ack><fn-group>
<fn fn-type="other">
<p><bold>Funding Statement:</bold> The author(s) received no specific funding for this study.</p>
</fn>
<fn fn-type="conflict">
<p><bold>Conflicts of Interest:</bold> The authors declare that they have no conflict of interests to report regarding the present study.</p>
</fn>
</fn-group>
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