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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Doctoral Consortium, September</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Enhancing the Cost Dimension in Process Mining through its Application to the Mining Industry</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Ignacio Velásquez</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Science, Pontificia Universidad Católica de Chile</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>1</volume>
      <fpage>1</fpage>
      <lpage>15</lpage>
      <abstract>
        <p>Process Mining is a discipline for the discovery, monitoring, and improvement of processes by extracting knowledge from event logs. In the discovery stage, models are often used to analyze the process performance. The time dimension is often analyzed, but there has been little research on other dimensions. For the cost dimension, the focus has been on costs annotation in event logs, but not on strategies for their analysis. Opportunities can be observed by considering costs jointly with other dimensions, such as time and resources, allowing insights like cost-aware resource allocation or identifying trade-ofs between costs and time. This research aims to enhance the analysis of costs through Process Mining, by devising methods for their analysis and operational support jointly with other dimensions. To achieve this, a partnership with companies from the mining industry is proposed, as they possess the records required for analyzing the cost dimension. Moreover, this industry is appealing as there is potential in analyzing its processes through Process Mining. Following a design science methodology, methods for jointly analyzing costs with other dimensions are devised, which will be validated by applying them to instances of processes from the mining industry. The devised methods are expected to facilitate costs-oriented decision-making in the mining industry, by addressing existing design problems in it.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Process Mining</kwd>
        <kwd>Process Discovery</kwd>
        <kwd>Performance Analysis</kwd>
        <kwd>Operational Support</kwd>
        <kwd>Cost Dimension</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Background and Motivation</title>
      <p>
        Process Mining (PM) is a discipline that allows the discovery, monitoring, and improvement
of processes by extracting knowledge from event logs containing records of actual process
executions [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]. When used for discovery, PM aims to construct a process model based on
the behavior observed in the event log [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Two mainstream approaches are then followed
for analyzing these models: verification, which is concerned with process correctness, and
performance analysis, which focuses on analyzing key performance indicators based on the
dimension of interest [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Performance analysis research has generally focused on the time
dimension, and there has been scarce research on others, such as costs [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ].
      </p>
      <p>
        The first work focusing on the cost dimension is [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], which proposes the creation and
utilization of cost models from management accounting to annotate event logs with cost
information. This work is later complemented with a strategy for cost prediction [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] and a
transition system decorated with costs [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Related to this research line, cost-annotated event
logs are also used for business process improvement [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>
        Later research maintains the idea of annotating costs in event logs through cost models.
[
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] proposes a framework for including cost and quality information in event logs from the
manufacturing industry, and their visualization. A series of conference papers [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref15">10, 11, 12, 13, 14,
15</xref>
        ] propose improvements over [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] by defining a costs-extended metamodel and the utilization
of classification algorithms to improve the definition of cost models. More recent publications
use PM to leverage information for the calculation of costs in costing strategies [
        <xref ref-type="bibr" rid="ref16">16, 17</xref>
        ].
      </p>
      <p>
        In summary, research has focused on obtaining and annotating cost information in event
logs [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], as well as visualizing them on process models, with a similar approach to the time
dimension [
        <xref ref-type="bibr" rid="ref10 ref4 ref8">4, 8, 10</xref>
        ]. However, current research has not focused on designing strategies for
the analysis of costs, other than designing simple visualizations that replicate those for the
time dimension. There is a need for further researching the analysis of costs and not only their
visualization. In this regard, research opportunities can be observed by considering the analysis
of the cost dimension jointly with other PM elements, such as the time dimension and resource
utilization. Insights that could not be observable by analyzing the above dimensions individually,
can emerge when jointly analyzing them. For example, resources could be allocated while
considering the costs associated with these allocations [18, 19, 20], or trade-ofs between costs
and time when executing processes could be identified. Moreover, by using the insights obtained
from the analyses, operational support could be provided for improving the operational aspects
of processes. Operational support refers to the utilization of PM techniques on running cases
of a process [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Possible operational support tasks of interest are prediction (anticipating the
outcomes of a case [21], e.g., its expected total cost) and recommendation (given the partial
execution of a case, suggest what to do next [22], e.g., to minimize its total cost).
      </p>
      <p>As costs are part of the sensitive data of companies [23], they are not readily available in
public event logs, This implies the necessity to partner up with companies that possess this
kind of data to research the topic. In this context, the appeal of partnering with companies from
the mining industry is observed. This industry revolves around the extraction, processing, and
transportation of minerals from mining sites to the marketplace [24]. Mining operations are
capital-intensive and often undertaken in geographically remote and isolated areas [25].</p>
      <p>A recent review indicates that, until 2019, PM has been seldom used within the mining
industry [26]. The same research group has focused on generating and analyzing event logs
based on sensor data from mining machinery [27, 28, 29, 30, 31, 32]. This shows the utility of PM
for analyzing the functioning of machines in mining operations, but only two publications have
researched the application of PM over actual processes of the industry. Concretely, [33] uses
PM to improve an emergency rescue process in Chinese coal mines, and [34] simulates event
logs for the LHD (Load, Haul, Dump) loaders maintenance process to determine bottlenecks.
This shows a latent potential for applying PM to analyze the actual processes of this industry.</p>
      <p>
        In addition to the above, existing research highlights that the mining industry has commonly
made use of costing strategies. These strategies allow addressing the underlying premise
that companies face limited information about true cost behavior, by defining cost models that
provide answers to common costing questions [35]. Two costing strategies have been researched
within the mining industry: Activity-Based Costing (ABC), which considers activities as the
driver for determining costs)[36, 37], and Life Cycle Costing (LCC), which calculates costs
over the life cycle of products and services [38]. ABC has been utilized to cost underground
coal mining systems [39, 40], for continuous improvement in copper mines [41], and for cost
modeling of the product mix in aggregate mining [42, 43]. LCC has been applied for the selection
of equipment and technology [44], and for equipment performance optimization [45, 46].
These costing strategies facilitate decision-making by modeling expected costs. However,
the utilization of PM would allow for analyzing the actual costs of executing processes. These
two approaches are complementary, as costing strategies can be used for defining the cost
models to annotate event logs [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], whereas PM would allow evaluating the predictions from the
costing strategies by comparing them to the actual process executions.
      </p>
      <p>As Chile is the leading copper producer, the mining industry has been the most important
driver of its economy [47]. This leverages the possibility of partnering up with several mining
companies in the country.</p>
      <p>Based on the above, the objective of this research is to enhance the state-of-the-art regarding
the analysis of costs through PM, by devising methods that allow the analysis of this dimension
jointly with other PM elements, such as time and resources, and to apply these methods in
event logs of real processes from the mining industry, to address their needs.</p>
      <p>The remainder of this work is structured as follows: Section 2 elaborates on the addressed
research questions and the followed research methodology. Work currently in progress is
presented in Section 3, coupled with the expected contribution of this research.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Research Methodology</title>
      <p>This research follows the Design Science (DS) methodology [48]. DS is a paradigm for conducting
and communicating applied research whose goal is to produce prescriptive knowledge in a
discipline and to share empirical insights from the application of these prescriptions [49]. This
is done by iterating over two activities: designing an artifact that improves something for
stakeholders and empirically investigating the performance of the artifact in a context [48].</p>
      <p>As an applied methodology, DS works with two kinds of research problems [48]: (i) Design
Problems (DP), which correspond to the need of designing artifacts for contributing to the
achievement of stakeholder goals; and (ii) knowledge questions (KQ), which refer to the
obtainable knowledge from researching the application context of the artifacts. In this research,
the partners from the mining industry are the stakeholders, whereas the artifacts are the PM
methods that will be devised throughout the research. These methods will be detailed steps on
how to undertake the analysis of the cost dimension jointly with other dimensions, and how to
perform operational support considering these dimensions. To facilitate these analyses, it is
expected that it will be necessary to generate code compatible with PM libraries, like pm4py
or bupaR, and/or to outline the steps for their realization in existing PM tools, like Celonis.
The development of simple independent tools that provide ad-hoc solutions for the proposed
methods is also considered. All the above correspond to artifacts that will be made publicly
available. Nevertheless, the conceptual definition of the methods will be platform-agnostic.</p>
      <p>The KQ addressed in this work seek to identify the benefits of analyzing the cost dimension
jointly with other dimensions and ascertaining whether this joint analysis improves
decisionmaking, and how it can be adapted for operational support. Similarly, DP contemplate improving
cost analysis and operational support of mining processes, by extracting historical data of their
executions and defining PM methods for analyzing the cost dimension jointly with other
dimensions, to facilitate the identification of improvement opportunities and decision-making.</p>
      <p>DS research is performed through a design cycle [48], which considers three activities: (i)
researching the problem at hand, (ii) designing one or more artifacts for treating the problem,
and (iii) validating the capability of these artifacts.</p>
      <p>Following the above, Figure 1 shows the outline of this research. On one hand, conventional
PM methods will be applied to processes in the mining industry. These methods are process
discovery and performance analysis of individual perspectives. This will allow getting to
know the specifics of the industry, the limitations of current methods, and opportunities
for jointly analyzing costs with other dimensions. On the other hand, the realization of a
Systematic Literature Review (SLR) focusing on ascertaining the state-of-the-art regarding the
cost dimension is considered. This SLR provides knowledge regarding existing methods used
for analyzing costs, as well as the identification of research gaps that should be addressed.
Subsequently, using the acquired practical experience and academic knowledge, several PM
methods for the joint analysis and operational support of costs with other dimensions will
be devised. The feasibility of these methods will be verified through their application on
simulated data, and their utility will then be validated by applying them to historical executions
of processes from the mining industry.</p>
      <p>The limitations of this research can be described based on the validity of its results. First, as
the devised methods will be validated in a specific industry, this afects their external validity in
other industries. Second, the internal validity will be dependent on the data provided by the
companies from the mining industry and the processes that are of interest to the stakeholders. It
will also be necessary to assert that historical data is representative of current process executions.
Finally, it must be mentioned that the devised methods will be validated in an academic context.
Their evaluation for implementation in real-world settings will be necessary.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Work in Progress and Expected Contribution</title>
      <p>Work in progress can be grouped by the three stages shown in the outline of Figure 1. Regarding
the application of conventional PM, this stage has seen delay due to the need of signing
nondisclosure agreements with the mining companies. So far, this has been the major problem
threatening the realization of this research. However, conversations with the mining companies
are ongoing, and there has been contact with interested companies from other industries, which
will help to address the external validity of the methods.</p>
      <p>As the acquisition of practical experience has been on hold, the research has focused on
obtaining the necessary academic knowledge. This has been achieved through a SLR that
researched the existence of methods for analyzing the cost dimension and dimensions that have
been considered jointly with it, within the context of PM and other disciplines where a process
perspective is relevant, such as Business Process Management and Operations Research.</p>
      <p>Using the academic knowledge from the SLR, the following methods, which address some of
the identified research gaps, have been devised so far:
• Analysis of process variants based on average costs and their standard deviation. Demo
available at https://bit.ly/variant_cost_stdev.
• Analysis of the Devil’s Quadrangle dimensions (costs, time, quality, flexibility) of process
instances through the filtering capabilities of PM. The Devil’s Quadrangle is a framework
that describes the inherent trade-ofs of performance dimensions [ 50]. Demo available at
https://bit.ly/dq_dashboard.
• Visualization of all process variants through a single Directed Rooted Tree, whose leaves
are the end states of variants. The tree is decorated with cost information for quickly
comparing the cost of diferent variants. Tool available at https://bit.ly/drt-variant-costs.</p>
      <p>The feasibility of the methods was verified by applying them over simulated executions of the
blasting process of a Chilean copper mine [51]. Blasting is one of the main methods of the mining
industry to fragment hard rock minerals [52]. Two versions of the simulated log are available at
https://bit.ly/blasting_with_rework_log and https://bit.ly/blasting_with_incomplete_cases_log.
Subsequently, the utility of the methods must be validated by applying them to real data.</p>
      <p>Looking forward, the realization of the SLR and the currently devised methods have provided
some insights regarding the roadmap for the remainder of the research. Initially, the envisioned
planning of the research consisted of a linear approach where every stage focused on jointly
analyzing costs and another specific dimension (i.e., time or resources), and a final stage where
all dimensions will be combined for process analysis and operational support. However, based
on the state-of-the-art and the characteristics of the currently devised methods, the need for
a more flexible approach, which addresses current PM limitations and research gaps, was
observed. Thus, based on stakeholder needs, methods will be devised for the joint analysis
and/or operational support of costs and any number of other dimensions.</p>
      <p>Following the above roadmap, it is expected that the devised methods will help, from an
academic perspective, towards expanding the current state-of-the-art in PM, by allowing an
enriched analysis of the cost dimension through its combination with other dimensions. Moreover,
the methods will also be of utility for stakeholders of the mining industry, as their application
will allow supporting cost-oriented decision-making in distinct mining processes.</p>
      <p>In addition to the above, it is also expected that, through further research, it will be possible
to validate the utility of the devised methods within contexts other than the mining industry.</p>
    </sec>
    <sec id="sec-4">
      <title>Acknowledgments</title>
      <p>This work was funded by the Agencia Nacional de Investigación y Desarrollo de Chile. Grant
number ANID-Subdirección de Capital Humano/Doctorado Nacional/2021-21210022.</p>
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