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    <sec id="heading-33589b81004f9da84d9c5d001e6093f5">
      <title> Introduction </title>
      <p id="heading-bc4b7d4ac3bf48f5621d94d096fc524b">Over the years, various risk factors of construction delays in the construction industry have been reviewed from many articles <xref id="xref-e2a8cd4ac783ac90a43cd0554987c37d" ref-type="bibr" rid="conference-paper-ref-243b4bf8919d0e39e9c67359f671baf2 journal-article-ref-dcca7ad3fa5c2882fd0dca32211d67fe journal-article-ref-71f5bc5d409780eabe55c15373d2b70a journal-article-ref-b14c86622b2ce0d782ba5c4840713888 journal-article-ref-e6b2d833303e90522cf181b27486bbeb journal-article-ref-7f18a6069d54bd2cc95e88bd6429d896 journal-article-ref-64793c9ed98e1ac053b7fc82492cbac5 journal-article-ref-e43f3233c9098c8227a92d28636e22ba journal-article-ref-54ed8fe566903c20431a02c5ca7c7eb1 journal-article-ref-18f6888c96633fd56252be73a42b9dcd journal-article-ref-9218485d20e78abc9654fcdd324e2adc">[1-11]</xref>. An assessment of risk in conservation refurbishment projects in a deterministic model was conducted <xref id="xref-f47dcc9c97c111a0357b361eea6f3586" ref-type="bibr" rid="journal-article-ref-01c7ca025c496c9fd113be9eeb86564f">[12]</xref> . The refurbishment of the oil tank project activities contains complicated activities such as dismantling the existing structures then constructing the new ones which are performed in a small narrow area. </p>
      <p id="paragraph-1ac7ca1e7d3010fbd10305a1b25c22a4">Limited articles have simulated the risk assessment for the crude oil tank refurbishment projects in the light of qualitative and stochastic approaches using risk analyses application packages <xref id="xref-b7008cdaf40686885e0228d661fca58c" ref-type="bibr" rid="journal-article-ref-25e3bd1494a3ca9abef76005196e6fb6 journal-article-ref-01c7ca025c496c9fd113be9eeb86564f">[12,13]</xref>. Hence, it is a challenge to identify, assess and simulate risks of delays in the oil tank refurbishment projects based on the stochastic methods for better understanding managing of risks in the area of the oil industry around the world. The simulation of stochastic models was developed for estimating and predicting a range of output values under certain operational conditions suits to industrial purposes under uncertainty <xref id="xref-1d79bea1f3dfe035ccde44dca5c3adb7" ref-type="bibr" rid="journal-article-ref-a3ef7cfc3840ea558542e65ad96ec7f2">[14]</xref>.</p>
      <p id="paragraph-5c336230952735e8ad1213ed2382a28e">These article objectives were to; (i) identify risk factors causing project delay, (ii) establish a list of risk indexes, and (iii) simulate the risks using Monte Carlo simulations as well as the sensitivity risks. </p>
      <p id="paragraph-2">The refurbishment of the existing crude oil tank project or Free Water Knock out (FWKO) project in Duri oil gathering station, Sumatra Island, Indonesia was taken as a case study in this article. There were more than 50 similar crude oil tanks in need to be repaired and replaced shortly in Indonesia <xref id="xref-4f0fd151a11d5840ad12a99be972a130" ref-type="bibr" rid="report-ref-07bf621b45c58e9fd98577c00de85381">[15]</xref>. This article is expected may assist the project owner and constructors in developing a strategic decision (during project planning phase) for analyses risks in the similar FWKO projects in the future.</p>
      <p id="paragraph-3"> This study performed risk analyses procedures as follow; (i) risk identification for establishing a risks list, (ii) risk assessment for quantifying risks, and (iii) risk analyses <xref id="xref-737d9d36e43959931a10c8f056cfde77" ref-type="fig" rid="figure-panel-e6edc6292ae24755a7b74f0e89684f99">Figure 1</xref> <xref id="xref-b236af3630eb68243493b6a1329de561" ref-type="bibr" rid="book-ref-40f4ee046f281b7e2ff18904e3602d39">[16]</xref>.</p>
      <p id="paragraph-2460da4d9b872a9678b46b37ec4160e0"/>
      <fig id="figure-panel-e6edc6292ae24755a7b74f0e89684f99">
        <label>Figure 1</label>
        <caption>
          <title><bold id="bold-cdeaaf97206a9f6c44c4e0567a676058">Figure 1.</bold> Three Stages of Risk Analyses Procedure</title>
          <p id="paragraph-7d37ce6822ce49422581f3d9618363a5"/>
        </caption>
        <graphic id="graphic-f5d3d12850470acf5ed4cb4da2f0ee2c" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/56/60/680"/>
      </fig>
      <p id="paragraph-26e4fe53b435a6ec5d3961f9f5e86401"/>
      <p id="paragraph-dacea792397fe63c658631fad12bf1eb">The risk identification was performed by distributing a list of questioners to the FWKO stakeholders. The lists of questionnaires were then analyzed utilizing Likert scales for measuring the probability magnitude of; (i) the risk frequencies, and (ii) risk impacts <xref id="xref-47116578d3ad71a0a972d3cfd74dacdb" ref-type="bibr" rid="journal-article-ref-98afbfeaa2e2f306f943fd14f9ef7681">[17]</xref>. It is not necessary the frequency directly proportional to the impact, for example, the impact of lack of work safety procedures during construction was relatively high, but the frequency to occur was relatively so-so. The risk frequency and impact scales were also summarized in <xref id="xref-45dce6c711bc8759c49b747e03eabfb9" ref-type="table" rid="table-figure-508b96ef92d42880798a667644a874a8">Table 1</xref>.</p>
      <p id="paragraph-0eb7047b4d15879f49f0a67fdcd4854d"/>
      <table-wrap id="table-figure-508b96ef92d42880798a667644a874a8">
        <label>Table 1</label>
        <caption>
          <title><bold id="bold-3bdb575526a1601dc7eef8e3c62f0505">Table 1</bold>. Risk Frequency and Impact</title>
          <p id="paragraph-12dc559cb602492bc27fc4ff8a44091a"/>
        </caption>
        <table id="table-c665bfb31b947fbc9edadb1fcb8017e1">
          <tbody>
            <tr id="table-row-b3de1196b09cdded6e22831b8acf28af">
              <td id="table-cell-7dde36e1dc82571911651d5b32c23699">Scale</td>
              <td id="table-cell-ab2f20ee2d5de88060eaaa77ec657745">Value</td>
              <td id="table-cell-a6b8bc78fa40ad24b652a39cf0f2b5a3">Frequency (A)</td>
              <td id="table-cell-227f7677c90b426f81e084cb8208f28f">Impact (B)</td>
            </tr>
            <tr id="table-row-c9c4b0c00bd452099d79b605ae97d37c">
              <td id="table-cell-8e6a22900123bc6e3ca6eaa9e95fe523">1</td>
              <td id="table-cell-ef41e47b1a60e71a1269f8d5d341dd9a">0.00</td>
              <td id="table-cell-2469bc8a9df815ee05b792c769770ded">Never occur</td>
              <td id="table-cell-85596a1a274f01d68ef49279d73c8978">Very low</td>
            </tr>
            <tr id="table-row-07286b2b0dfe92b74176485c58641904">
              <td id="table-cell-a26e1482cadf8a9fd5928b0a1e79209c">2</td>
              <td id="table-cell-81681ee00970f5c924cf3a47440cd298">0.25</td>
              <td id="table-cell-3d08f557e8ad2adfb8ea2bad4161c691">Rarely</td>
              <td id="table-cell-07738c9a568ec467cdc37a2351cbf9ed">Low</td>
            </tr>
            <tr id="table-row-97e60560c7c74fafb127d9c97a62f3f4">
              <td id="table-cell-fb7ec8575ea3b19f872d874833dc8e9b">3</td>
              <td id="table-cell-6584a1490ba6e0cecbbabddcf2615af5">0.50</td>
              <td id="table-cell-843862d79f67aff76c10ba87d183a108">Frequent</td>
              <td id="table-cell-273657c1fd91de9e0b141a31aeda1be5">Moderate</td>
            </tr>
            <tr id="table-row-8f617d0595241bb518cef6dd25384cad">
              <td id="table-cell-9f959061590600fe10209e45dd4c57e8">4</td>
              <td id="table-cell-7ce4bb5e05087fb82480ed6ef4cfad94">0.75</td>
              <td id="table-cell-e1d17c1c9570ed8f50285d192eee0e9c">Very frequent</td>
              <td id="table-cell-5a7762cb6b43b0b20c69d08610a2e7ff">High</td>
            </tr>
            <tr id="table-row-206310d44c015dbb1bafa4b695b57d77">
              <td id="table-cell-308652e10adf9053fc9fe336dddf7fd3">5</td>
              <td id="table-cell-d15043a4db423533ec06020abbd56206">1.00</td>
              <td id="table-cell-fbff0cb2f456aeb56ddcb5d8fd105203">Absolutely occur</td>
              <td id="table-cell-739852a4077c9daefbbd8e913191e474">Very high</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p id="paragraph-3518b43528bfa7e31bb656f6657dba9f"/>
      <p id="paragraph-0c3a924b5ac5133f759ba8b71e2d1298">Then, risk assessment were performed to classified risk according to their index. The risk index was classified into three simple main categories <xref id="xref-d4874f6f52f04b683fa0fdf0e2b2dc06" ref-type="bibr" rid="journal-article-ref-36b5059fb46ba95bbf23c5e6f88b4238">[18]</xref>, as follow:</p>
      <p id="paragraph-0c3896e9ba828e843378d62cb49af02a">· The low-risk category was calculated as a very low to low relative risk importance index (Figure 8). The low risk is considered insignificant to cause project delay. This is because the frequency of the risk occurrences was relatively low and so does the impact.</p>
      <p id="paragraph-f79eed0b5e25b9167bf49cffc1f9a513">· The medium-risk category is considered as either its frequency or impact is relatively moderate or high. It is considered to take any necessary plans for controlling the risks (as long as there are adequate resources provided for mitigating the risks); and</p>
      <p id="paragraph-4">· The high-risk category is calculated as the frequency of the risk occurrence and the impacts are relatively high or very high. It is recommended to perform risk mitigation procedures for minimizing the potential risk occurrences <xref id="xref-f66d558204cfde9ddc58365be4bb2906" ref-type="bibr" rid="book-ref-40f4ee046f281b7e2ff18904e3602d39">[16]</xref>. </p>
      <p id="paragraph-5"> A sensitivity risk analysis was also performed to describe uncertainties in the output model which were affected by the different uncertainties in the input model in the form of tornado diagram <xref id="xref-ec696adf407ceda22947f001e99dcc9d" ref-type="bibr" rid="book-ref-e8c58413fa3c4341aaef778d7329a543 book-ref-00a78b165d983c9e77431e6cd003819c">[19,20]</xref>. The sensitivity analyses are commonly performed for estimating a range of probable project schedules or revenue generations, and other feasibility study parameters <xref id="xref-9eb55657708ee4e78813cbcad969cced" ref-type="bibr" rid="journal-article-ref-39c6d9208c2d704043de373342439597">[21]</xref>. </p>
      <p id="paragraph-6"> The application of @risk is an add-in to Microsoft Excel was utilized for simulating this case study. This application could simulate and analyze risk using Monte Carlo simulation which presents graphically all possible outcomes of the designated results (for example project durations, and costs) <xref id="xref-ef16bcaba3813436718423f7c723d848" ref-type="bibr" rid="book-ref-9c6b80cfbf3988c1d42185cf40604356 book-ref-5ec99d30888d599e3009a961814b85d4">[22,23]</xref>. </p>
      <p id="paragraph-baba1c28e980b77d4cf3630e981d41bc">Monte Carlo simulations are one of the risk analysis methods relying on the repeated random sampling using statistical analysis to yield probable results <xref id="xref-63075b9ebc3761da6b43c3808479e227" ref-type="bibr" rid="journal-article-ref-eefca32fe08afa67e84909f2207a9fa2">[24]</xref>. A Monte Carlo simulation is also well known as “what-if analysis” <xref id="xref-6e63ef6a3b359e596ad063d7f3e4092b" ref-type="bibr" rid="conference-paper-ref-38955316fdbc78edcfc44aec5d4188e9 chapter-ref-268a328311642d67f9a617e5aca0be4e">[25,26]</xref> . </p>
      <p id="paragraph-c4e5855e3687194a2c57ee39c46490a9"> The advantages of using Monte Caro simulations compared to the deterministic model were that the input variables for the models depend on the variation of the external and internal conditions <xref id="xref-622e7a7e7b225a40ad9b73456cc647fd" ref-type="bibr" rid="journal-article-ref-282bfe7df32ae7b25de83cd0d9d21334 conference-paper-ref-38955316fdbc78edcfc44aec5d4188e9">[25,27]</xref> . The probability risk analyses may also dynamic and may yield different results for the different inputs model, once the model is simulated <xref id="xref-7072fe6464512b4e9cf2b59298cf4a9d" ref-type="bibr" rid="journal-article-ref-8aff9f44742c202202e3850a86e12f35 conference-paper-ref-38955316fdbc78edcfc44aec5d4188e9">[25,28]</xref>. </p>
      <p id="paragraph-7688414a1e920f761ca6bbf2489cbaac"/>
      <fig id="figure-panel-9b51c11f435a2f0e0566a9bfa8ec25ff">
        <label>Figure 2</label>
        <caption>
          <title><bold id="bold-9aabc6fca599e5e4c1a2880bc7d6d0ba">Figure 2.</bold> Case-based models (Samik Raychaudhuri, 2008)</title>
          <p id="paragraph-e2b30b46f9e973c06005fb4ad24e9db5"/>
        </caption>
        <graphic id="graphic-33d499ee8564ecd54df7bbc172c6a9c8" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/56/60/681"/>
      </fig>
      <p id="paragraph-1adb6a165f439c21a3360485fceb74b8"/>
      <p id="paragraph-2b9f73ce90ee56de6cdde4e19f7f9f9f">Based on literature reviews the utilization of this Monte Carlo simulation has improved quantitative project analysis for developing decisions <xref id="xref-0a5374f5df5f2e85b880a7dc55db1087" ref-type="bibr" rid="journal-article-ref-deedf27ed8d7200fe757b73c9044e578 conference-paper-ref-38955316fdbc78edcfc44aec5d4188e9 chapter-ref-268a328311642d67f9a617e5aca0be4e">[25,26,29]</xref> .</p>
    </sec>
    <sec id="heading-3c9a32d25e5c43c8da5444740b5cb538">
      <title>Methods</title>
      <p id="heading-f6f933eddffd74272069fdb195f863f8">The methods applied in this study are following these 3 steps ; (i) Establishing questioner surveys to identify a list of risk factors that may occur in this project, (ii) assessing for quantifying the risk frequency and its impact causing the project delays by conducting qualitative risk analyses procedures, and (iii) performing a sensitivity risk analysis ( <xref id="xref-a20a2e219f41c85ac8daeb78a84adcae" ref-type="fig" rid="figure-panel-e6edc6292ae24755a7b74f0e89684f99">Figure 1</xref> ).</p>
      <sec id="heading-332a2325b032ce2670fd029915a176df">
        <title>Conductiong Survey</title>
        <p id="paragraph-b039d31c510f2ae896d549bbe5507f1e">In order to identify a list of risk factors, this study conducted a field questioner survey from several project stakeholders <xref id="xref-8136a1439b6a7be838de539aacdde397" ref-type="bibr" rid="journal-article-ref-d822b99875cf128543dc8eeeb649c93d">[30]</xref>. This study conducted 1<sup id="superscript-db15f1b48e89ca02e9d9b3df70094ed8">st</sup> questioner survey by interviewing 25 respondents consisted of 1 respondent from the project owner, 12 respondents from the supervisory consultant, and 12 respondents from the project contractor. This research applied Disproportional Stratified Random Sampling (DSRS). The Disproportional Stratified Random Sampling divided the population into strata and selecting a simple random sample from each stratum. The sample represents the characteristics of the total population <xref id="xref-801e636728f5a89cde6f8b4969cb5971" ref-type="bibr" rid="journal-article-ref-eefca32fe08afa67e84909f2207a9fa2">[24]</xref>. </p>
      </sec>
      <sec id="heading-36f3448fcf141a69e6f3d0f8e394d33a">
        <title>Performing Risk Assessment</title>
        <p id="heading-b2ecf5419d4377348afda38a13f57a5a">A Qualitative Risk Assessment was performed by conducting a questioner survey. The questioners were designed to quantify risk frequency and its impact causing project delays (by conducting 2<sup id="superscript-1">nd</sup> Questioner Survey), and the collected data were analyzed using qualitative analyses <xref id="xref-31d3299a3a634ca0efab20b545e74a7b" ref-type="bibr" rid="journal-article-ref-26817189d1783975e16820dc202443a0 journal-article-ref-8b2dc7673aeb9e4c3ca342904c13007f journal-article-ref-1046393600e9dabe2ec48b9aff145955 journal-article-ref-af5646635b232de6016b0f60e54e256e">[31-34]</xref> . This 2<sup id="superscript-2">nd</sup> questioner survey was also conducted to validate a list of risk factors based on a Lickert scale using 1 to 5 scales. </p>
      </sec>
      <sec id="heading-ba0bfbb8f92cd1dadfed596a0ee5330a">
        <title>Performing Risk Analyses</title>
        <p id="paragraph-48d9a47c00ccbf7d63c950cc9cc456c2">Risk analyses were performed by simulating the existing input data using “what it is scenario”. The risk simulation results were presented in the form of Probability Distribution Function (PDF) and Cumulative of Distribution Function (CDF) graphs. The results would be conducted after running 1000 times iterations. </p>
        <p id="paragraph-3cfd0863d14f9868db43ef819fc4983f">In this article, a spider graph diagram was used to illustrate the sensitivity of the project delay over the project activities. The final results were drawn in the form of probability distributions graphs using Monte Carlo simulation utilizing @risk software <xref id="xref-520527d8ef7f669918cba1a6a64c3d8d" ref-type="bibr" rid="book-ref-9c6b80cfbf3988c1d42185cf40604356 book-ref-5ec99d30888d599e3009a961814b85d4">[22,23]</xref>. </p>
      </sec>
      <sec id="heading-b012501874df2664b74d4f3d98445c6d">
        <title>Refurbishment of Oil Tank Projects</title>
        <p id="heading-9830bf1df9f73e6d923a9cb3c968c8a8">A refurbishment of the oil tank project is defined as a partial or an overall replacement activity package related to the tank structures and facilities <xref id="xref-3aa5fa052aaad27a1bef8e2ca85b8928" ref-type="bibr" rid="thesis-ref-baf7b32d095134537e5437dfd18ea32e">[35]</xref>. The refurbishment project may encompass various activities, with a high degree of complexity, and uncertainty including integrative demolition of the existing tank, and construction of the new one within a small and narrow working area <xref id="xref-aa3996f72c53cab2ed63c1a9eab8c9e6" ref-type="bibr" rid="report-ref-9b2ae0bfe768c9ad183097b2e9c5cbc2 report-ref-07bf621b45c58e9fd98577c00de85381 conference-paper-ref-6e33dc9543d457f7628d28a3384b3d1a">[15,36,37]</xref> It was reported that the existing tanks within the Duri oil field were operated for more than 40 years and in urgent need to be repaired as there has been corrosion and thinning undergone inside and outside the tank plates. In this case study, the tank’s diameter dimension was 22 m in height was 9.6 m with a tank capacity of 21.9 thousand barrels of crude oil ( <xref id="xref-587125f6e7245aee9e85ff3831af1182" ref-type="fig" rid="figure-panel-d1941182a009fc2767600b991eec0e47">Figure 3</xref> (b, c)). Again the results of this case study may be a reference for the oil industry stakeholders in managing the risk of delay in this tank oil refurbishment project soon. The location of the FWKO project and the condition of the existing tank were presented in <xref id="xref-ad034ebc03995523a041b4b479efd34c" ref-type="fig" rid="figure-panel-d1941182a009fc2767600b991eec0e47">Figure 3</xref> (a). </p>
        <p id="paragraph-b91892a86809994a050b7e8fe35b48e9"/>
        <fig id="figure-panel-d1941182a009fc2767600b991eec0e47">
          <label>Figure 3</label>
          <caption>
            <title>Figure 3. (a) project location, (b) crude oil tank refurbishment in progress, (c) crude oil final construction</title>
            <p id="paragraph-224704fafe85d8f981b6fcd463232f9f"/>
          </caption>
          <graphic id="graphic-f7e5bd02df2be0762df256b17d98bed9" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/56/60/682"/>
        </fig>
        <p id="paragraph-0dcf09ae4be6a353ad2c597bd6edaa4e"/>
      </sec>
    </sec>
    <sec id="heading-dc9ebda3f6b740aeece61cb1daa7a2d5">
      <title>Results and Discussions</title>
      <sec id="heading-4e3ef150dc3f2217609c0c9d3e2d3691">
        <title>Free Water Knock Out (FWKO) Refurbishment Project</title>
        <p id="paragraph-8a3ac6e149ece16f65176620628bcfaa">The refurbishment FWKO activities in Duri consisted of at least 4 main packages encompass; (i) tank cleaning activities, (ii) dismantling of ring wall and tank bottom plat, (iii) installation of tank bottom plate and shell, and (iv) installation of the center column and tank roof. The total number of FWKO sub-activities (level 3) may include 54 activities <xref id="xref-268abf07bcb5d42339f280452957c5a4" ref-type="bibr" rid="report-ref-07bf621b45c58e9fd98577c00de85381">[15]</xref>. </p>
      </sec>
      <sec id="heading-741eabf8217aa8e201d826914c007d21">
        <title>Stage 1. Risks identification and Brainstorming of the Project Schedule</title>
        <p id="paragraph-8175be65b6fb5bb6395ed3b4d7982f87">It was identified, 16 main activities existed in the critical path of the FWKO project.</p>
        <p id="paragraph-80ddbfa58812a81848150042a6346f51">The initial schedule for accomplishing this project was designated for 180 days. During the construction phase, it was calculated that the actual duration became 437 days (delayed for 257 days or almost 250% from the initial project duration) In this paper, the terminology of working days, later on, will be defined as “days” only.</p>
        <p id="paragraph-db3c608bcc90526f9efc7fdb8b1bd051">Based on the literature review, it was identified that there were approximately 30 to 49 risk factors inherent in the type of oil project <xref id="xref-e2798ad372b27f8e9f2e7194f50ddba3" ref-type="bibr" rid="journal-article-ref-1303f5ce8ec47e04ca4b09ebc12560d7 journal-article-ref-7f18a6069d54bd2cc95e88bd6429d896 journal-article-ref-36b5059fb46ba95bbf23c5e6f88b4238 book-ref-40f4ee046f281b7e2ff18904e3602d39 conference-paper-ref-ccbd71b574a1e68a5b6bb32b2be09c5d">[6,16,18,38,39]</xref>. </p>
        <p id="paragraph-435f5986a0caf5fd579371d0c28025a2"> This study conducted deep questioner surveys to the oil stakeholders in the restricted oil industry areas for identification of a range of risk input for conducting risk analyses using the Monte Carlo simulations <xref id="xref-bc058f08fef1fbb3ccbfd2f66b56688c" ref-type="bibr" rid="chapter-ref-268a328311642d67f9a617e5aca0be4e report-ref-9b2ae0bfe768c9ad183097b2e9c5cbc2">[26,36]</xref> . </p>
        <p id="paragraph-e604c877eebc7648a7fa025ad7a7f329"> To obtain a list of risk factors, the identified risk frequencies and risk impacts were then multiplied. The results of the multiplication of risk frequencies and impacts = risk index. The risk index can be seen in Table 3 and Figure 7. The risk analysis was then listed based on the Risk Index <xref id="xref-2070da81bb7276b41cc13757ec3655a8" ref-type="bibr" rid="book-ref-40f4ee046f281b7e2ff18904e3602d39 journal-article-ref-44d23ca60b0d6aae51856f578cca7439 report-ref-b376aa038b699508e5f407abc5619ea1 conference-paper-ref-ccbd71b574a1e68a5b6bb32b2be09c5d journal-article-ref-1046393600e9dabe2ec48b9aff145955 journal-article-ref-8aff9f44742c202202e3850a86e12f35">[16,28,33,39-41]</xref>. This index is presented as follow <xref id="xref-27660d2f5937afc64cf05714a3863d34" ref-type="bibr" rid="book-ref-40f4ee046f281b7e2ff18904e3602d39">[16]</xref> : <bold id="bold-c5090df6d76efa7dca76adad5f90f2e9"/></p>
        <p><inline-formula id="block-formula-cdac29eb25d57aabbae28dd5d54e5ee1" content-type="math/tex">
          
          <tex-math>\begin{equation} R=I \times P \tag{1} \end{equation}</tex-math>
        </inline-formula></p>
        <p id="paragraph-429dc6f402f8127a729c93743369087f">where, R = Risk index, I = Risk probability (frequency), and P = Risk impact.</p>
        <p id="paragraph-29b2483549891361ac347538dd0ef925">The 2<sup id="superscript-48aa85c3f7b27f788154b45110c9eefd">nd</sup> questioner survey data were analyzed using the SPSS application package to perform the validation test. Based on the phase II questionnaire survey data, then the multiplication between the frequency of risk events and the impact of the risks that occur for each single risk index for the delay was calculated and validated. </p>
        <p id="paragraph-8e971aaf1e1c069e9a6a079d4bdd4bdb">This article illustrated 9 the highest list of the risk indexes causing the delays (based on their total correlations). These risk indexes encompass; (i) poor coordination among the project parties (X8), (ii) Lack of experienced human resources (X15), (iii) Lack of supervisors quality (X16), (iv) inadequate work safety procedures during construction (X17), (v) Lack of construction equipment (X20), (vi) limited and narrow working area (X21), (vii) design changes during construction (X24), (viii) the difficulty in obtaining daily work permits (X26), and (ix) A complicated inter-dependencies critical path activities (X27).</p>
        <p id="paragraph-38045b42b2ff380c07cf861b7e9c13bc">The risks were then indexed into 3 simple levels (encompassing minimum, medium, and maximum). The maximum risk index level was 0.568, and the minimum average value was 0.178, and the range value = 0.390. </p>
        <p id="paragraph-aa5db931f87d270503dd45e4f143601e">The average distance of the value is 0.390/3=0.130 (as there was assumed that the risk index would be classified into 3 categories; low, medium, and high). This low risk range value = 0.178+0.130= 0.308, medium=0.308+0.130=0.438, and high = 0.438 + 0.130 = 0.568 ( <xref id="xref-81daddbd7df6bd9ddcd2fb6abd2623f8" ref-type="fig" rid="figure-panel-143de0966625798ca9a9a787d5975380">Figure 4</xref> ).</p>
        <p id="paragraph-04fece593563215d4275310c64caaaff"/>
        <fig id="figure-panel-143de0966625798ca9a9a787d5975380">
          <label>Figure 4</label>
          <caption>
            <title><bold id="bold-5a702f8382405879a28f859668d8886a">Figure 4</bold>. Level of Risk</title>
            <p id="paragraph-e945e1322a08abb5c01e518cc474e9ed"/>
          </caption>
          <graphic id="graphic-cf90139ba3914cd2f57d76e6767f99f4" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/56/60/683"/>
        </fig>
        <p id="paragraph-98d3b1f4072b22d5442f130abe1a248b"/>
      </sec>
      <sec id="heading-187aa4767a7457f9c64017a3847816ee">
        <title>Stage 3. Simulating Risks by Conducting Risk Analyses and Sensitivity Analyses</title>
        <p id="heading-6edbc9598cbce23d8ce59aa8b8930f97">In this article the risk simulations were implemented by conducting; (i) risks analyses, and (ii) sensitivity analyses.</p>
        <sec id="heading-7dd1b134d20f5eea2d2f7bf91c561cbf">
          <title>Risk Analyses (What it is Scenario)</title>
          <p id="heading-bb343e635c800b21db3e2cb52ab3427c">Risk analyses were performed using the distribution of the input values of the project risks which were obtained from the 2<sup id="superscript-79107c16f1babf5f110763c411f22586">nd</sup> survey data. </p>
          <p id="paragraph-5d4f26dc0a215e1dfbedf737bd2df3b5">A Monte Carlo simulation using Pert Distribution was applied for calculating the duration of project activities (with a minimum duration of 165 days, most likely to be 180 days and a maximum of 437 days). </p>
          <p id="paragraph-ae243c8714c949bab5cb2209fef064b7">For example, historically based on the initial project planning the duration for installation of water column activities was estimated 24 days (most likely duration), in practice, these activities were conducted in 38 days (maximum one) and the minimum duration for performing these activities would be 24 days x (100%- a base value of the minimum risk of 17.8%) = 20 days (<xref id="xref-9acf2453d816eabc84f349a88513b33c" ref-type="table" rid="table-figure-ba78bc94c8b0a6291296025cc2f27894">Table 2</xref>). Based on 3rd surveys the delay was identified as the cause of various risk factors such as; poor coordination among the project parties in the construction of water column (X8), lack of supervisor quality in managing the activities (X16), inadequate construction equipment within the project location (X20), narrow working area (X21). </p>
          <p id="paragraph-be15961bdcbd7a49ac8d747a99025de2"/>
          <table-wrap id="table-figure-ba78bc94c8b0a6291296025cc2f27894">
            <label>Table 2</label>
            <caption>
              <title><bold id="bold-3f3ef94ef09ecb854b2486bf6232b403">Table 2.</bold> Three estimated durations before conducting mitigation process</title>
              <p id="paragraph-3ee36d3b96e96ab82a0fb0c79c26b4a6"/>
            </caption>
            <table id="table-a141097af0d5161350fc72041cdaa0ca">
              <tbody>
                <tr id="table-row-445213daeadacfd9349af43f1d12ad80">
                  <td id="table-cell-8e8759433f1d1a085be081dc34f44659">Activities</td>
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                  <td id="table-cell-f965f42c1683592545b83b52bd53790c"/>
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                  <td id="table-cell-2c8088d38dbab43854267099ff1a7b90"/>
                  <td id="table-cell-15dfe6280a5226be600545d05c79969f">Minimum</td>
                  <td id="table-cell-04fff4c00c6de7ef4bd965ecb1959176">Most Likely</td>
                  <td id="table-cell-485ad0267a0a98424a009719ebb0d18e">Maximum</td>
                  <td id="table-cell-d4740780ab66946b2e9ea81690030341">Minimum</td>
                  <td id="table-cell-f2d8548a2878900a1e60dcef4dd427a4">Most Likely</td>
                  <td id="table-cell-52058947ed1d8a73679ef3f315b5bcb5">Maximum</td>
                </tr>
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            </table>
          </table-wrap>
          <p id="paragraph-26c1251921f41eeac1863c6b49154b05"/>
          <p id="paragraph-ec72b837c1d580eab0646d5d50ed9c1f"><xref id="xref-8ed5f631f3b4c7a18167af689d86a11f" ref-type="table" rid="table-figure-ba78bc94c8b0a6291296025cc2f27894">Table 2</xref> shows that there were 3 main columns encompass, initial planning duration (days), a 3-point estimate before conducting risk mitigation procedures (in percentage), and a 3-point estimate before conducting risk mitigation procedures (days). </p>
          <p id="paragraph-78453ae24af7fe41b1100000c17f415a">After performing simulation for scenario 1 using Palisade Decision Tool @risk application package utilizing Table 2 data, with 1000 iterations, it was identified that there was a 90% probability the total duration of the project would be accomplished in the range of 227 days to 260 days. There was also an 80% probability the project could be accomplished in 250 days (<xref id="xref-677ab72e72e97ffd337e539ef5213992" ref-type="fig" rid="figure-panel-313007842a14c46f3bf2cc28dc661e67">Figure 5</xref>). However, the total maximum duration would be 437 days ( <xref id="xref-4eff862dad20a8665155b9faac99a802" ref-type="table" rid="table-figure-ba78bc94c8b0a6291296025cc2f27894">Table 2</xref> ).</p>
          <p id="paragraph-bca56765bb0ce0ee9f55c7e273eaefa4"/>
          <fig id="figure-panel-313007842a14c46f3bf2cc28dc661e67">
            <label>Figure 5</label>
            <caption>
              <title><bold id="bold-cecaf3936204d864070aa53e9a6a3571">Figure 5.</bold> Probability Distribution Function Graph (PDF) and Cumulative of Distribution Function (CDF) Graph of the total duration activities Before Mitigation</title>
              <p id="paragraph-1b1f861868b943407b4565686462b27c"/>
            </caption>
            <graphic id="graphic-bd3e5959b7ed3c2af4568151dc796f23" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/56/60/684"/>
          </fig>
          <p id="paragraph-a4ed833e1b4456268dac3ad05f3aab53"/>
          <p id="paragraph-059cafd2c6ee61397c0897158ccf088c">The initial project duration was 180 days. There was the possibility of this project would experience delays from 47 days to 80 days (126%-144%). And there was a 0% probability for accomplishing the project duration (at 180 days) under those identified project risk and uncertainty conditions. Hence, based on these findings the project owner and managers may evaluate their schedule and working process for performing tank refurbishment projects in the future systematically achieving the project objectives. </p>
          <p id="paragraph-40597d6e0c87977ac0fb49d6443c8d82"/>
          <table-wrap id="table-figure-820e9fb5325fc085c0f685b7a622d79f">
            <label>Table 3</label>
            <caption>
              <title><bold id="bold-4d0056d55234dbfd49113612908972d6">Table 3</bold>. Head to head of estimated project durations in 3 conditions (initial plan schedule, actual schedule and simulation schedule) </title>
              <p id="paragraph-24207d062e4a5f0a5f3760d5d029de79"/>
            </caption>
            <table id="table-c478e0ffe70193b7fe0c7b37bc020913">
              <tbody>
                <tr id="table-row-f7778649974de6ddbee9e0e72a5a3479">
                  <td id="table-cell-3cc078ce1065c7cd80a5024d21621e88">No</td>
                  <td id="table-cell-79caec68542919e011d8ba9827d17725">Conditions</td>
                  <td id="table-cell-46a048e8cb68cc5e6436bdaea55008c3">Completion Duration</td>
                  <td id="table-cell-aef1dd689c7431c814de344202d1ef90">Notes</td>
                </tr>
                <tr id="table-row-49ad81fe4c49b42aa3969490e1b15d70">
                  <td id="table-cell-33c189099a9ca124baea175131ffd3d5">1</td>
                  <td id="table-cell-4058864add87b577da76592b86623e93">Initial plan</td>
                  <td id="table-cell-9fc88fe76cc8b361ee3d180b39f8c1ed">180 days</td>
                  <td id="table-cell-28bdcf0f9ce49a5d2444715f509754f1">Determined the estimated project duration without predicting and identification of any risks inherent in the project.</td>
                </tr>
                <tr id="table-row-f9f0aec9468443e619869d80c9911b7c">
                  <td id="table-cell-3e46b59af5dd3857c6f35c5643b7a77b">2</td>
                  <td id="table-cell-6917206390afba486285975e1dce1ab4">Actual </td>
                  <td id="table-cell-3a0f7b4ac667a9d559e452a750046dae">437 days</td>
                  <td id="table-cell-c3f37f5e7f5269cd696d12233929aed0">Implementing the project without conducting any simulation of the probability of the project delay and risks.</td>
                </tr>
                <tr id="table-row-44696dcd9a7c8eef928cc79d8bcc94c3">
                  <td id="table-cell-e2e6e64d6bc29e4a481f10f7e41cbfee">3</td>
                  <td id="table-cell-cf5f796206fc5b2a50b95bb7f447a5bf">Simulation (90% probability)</td>
                  <td id="table-cell-35cef3b25329d5c5e76fb48e4b02b953">at the range of 227 days to 260 days</td>
                  <td id="table-cell-f9a418ac0b4e916bb95bdc358a310177">Simulating the project duration using Monte Carlo and considering the uncertainty as well as project risks. </td>
                </tr>
              </tbody>
            </table>
          </table-wrap>
          <p id="paragraph-76cc8f02965edf6a7b0d44fdc32c7c23"/>
          <p id="paragraph-b19e93c0f6ea90b149894b0f4fed5bf3"><xref id="xref-3a9e80e3023b03795a81e6a1f491884a" ref-type="table" rid="table-figure-820e9fb5325fc085c0f685b7a622d79f">Table 3</xref> shows that there were 3 different results for completing project schedule. At the initial plan, there was estimated that the project would be accomplished in 180 days using deterministic analyses without considering any risks inherent in the FWKO project. In fact, the project had been finished in 473 days. Hence, it is necessary to calculate the project duration using simulations in order to yield a comprehensive result. Based on the implementation of Monte Carlo simulations running on @risk application package it was calculated that the project duration would be at the range of 227 days to 260 days. </p>
        </sec>
        <sec id="heading-3f0b84d956bd630352f725466df57959">
          <title>Developing Sensitivity Risk Analyses</title>
          <p id="heading-354337bcda9eff8f29c2087871658fb2">The important roles of sensitivity analysis in the technical and economic perspectives was highlighted <xref id="xref-e6ba999132e7f851607bdac6d7f4d7ca" ref-type="bibr" rid="journal-article-ref-54ed8fe566903c20431a02c5ca7c7eb1">[9]</xref>. After conducting simulation utilizing table 2 data using @risk application, it was identified 8 main activities contributing significantly to the project delays such as; installation of the existing spools activity, installing water leg, installing roof platform, etc. (<xref id="xref-755447f0577ca4dfdd026cc7ed9f1808" ref-type="fig" rid="figure-panel-799b35b6ac3cffb7dc5f1a8c92939fb9">Figure 6</xref>). The more sensitive the activity, the more its effect to change output results (causing project delay). For example, the change in the duration for installing all the existing spools activity at 35% may affect to increase the total project delay up to 10%, and the additional duration in removing and installing rib rafter 25% will contribute to 9% of the total project delay. </p>
          <p id="paragraph-84919e02fe458a6163cab6deec3e8b34"/>
          <fig id="figure-panel-799b35b6ac3cffb7dc5f1a8c92939fb9">
            <label>Figure 6</label>
            <caption>
              <title><bold id="bold-dedc15c05f8e40d5dd9dbfc62bd55e14">Figure 6.</bold> Spider graph before conducting risk mitigation</title>
              <p id="paragraph-19f0dd371e4fe8d48d82351e13196a1c"/>
            </caption>
            <graphic id="graphic-85d3aeb04af9c7d7967df04e4ad6ed12" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/56/60/685"/>
          </fig>
          <p id="paragraph-daa141418e607edecc9813553e46f7e2"/>
          <p id="paragraph-6dcfa2aa3099cdca3dfad680d0b53145">The list of sensitive activities in this article highlights the most sensitive activities that affect project delay. The list of activities was as the following order; install all existing spools, remove and install rib rafter, install water leg, install roof platform, install the center column and rafter, install water leg box, install (safety in design) SID equipment, install the roof, and internal tank (<xref id="xref-0a5836072f9764b746486030c05e1d9a" ref-type="fig" rid="figure-panel-799b35b6ac3cffb7dc5f1a8c92939fb9">Figure 6</xref>). Thus, it is important to pay attention for evaluating and mitigating these 8 sensitive activities for controlling and reducing the risk impacts in the future.</p>
        </sec>
      </sec>
    </sec>
    <sec id="heading-f5b1aab3275ad1a12d1faf9ee941e19e">
      <title>Conclusion</title>
      <p id="heading-92f847558cec3c866c2ee5838c318500">Based on the Monte Carlo simulations, there was a 90% probability total duration for completing the project was at the range of 124%-144% from the total initial project schedule. It stated that there was no chance for completing the project schedule within 180 days (the initial project planning). Hence, it proves that by implementing the project simulation using @risk application package using the Monte Carlo risk analyses yielded a range of estimated output values (of the project delay) under the uncertainties. These results become a basis of the project owner and managers prior to developing a comprehensive strategic planning for the refurbishment of oil tanks in the future.</p>
    </sec>
    <sec id="heading-9d3d2a83e1f236c5c0b8439a1ec6fe4d">
      <title>Acknowledgment<bold id="bold-2"/></title>
      <p id="heading-380689aad729dc5a319bc0f16809ee83">The author would like to thank the PT Chevron Pacific Indonesia, the Civil Engineering Department University of Riau, Rizki Ramadhan Husain, and the team for assisting the author in supporting this research study.</p>
      <p id="paragraph-43baf5f4197339a520a7de53a95b0a39"/>
    </sec>
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