Mathematical Modeling and Discrete Firefly Algorithm to Optimize Scheduling Problem with Release Date, Sequence-Dependent Setup Time, and Periodic Maintenance

<figure class="figure-group responsive"><div class="sub-figure" id="a"><object data="https://static.hindawi.com/articles/mpe/volume-2019/8028759/figures/8028759.fig.0010a.svgz" name="8028759.fig.0010a" type="image/svg+xml"></object><div class="fig-label"><b>(a) </b>Setup time (s)</div></div><div class="sub-figure" id="b"><object data="https://static.hindawi.com/articles/mpe/volume-2019/8028759/figures/8028759.fig.0010b.svgz" name="8028759.fig.0010b" type="image/svg+xml"></object><div class="fig-label"><b>(b) </b>Number of Jobs (n)</div></div><div class="sub-figure" id="c"><object data="https://static.hindawi.com/articles/mpe/volume-2019/8028759/figures/8028759.fig.0010c.svgz" name="8028759.fig.0010c" type="image/svg+xml"></object><div class="fig-label"><b>(c) </b>Maintenance interval (T)</div></div><div class="sub-figure" id="d"><object data="https://static.hindawi.com/articles/mpe/volume-2019/8028759/figures/8028759.fig.0010d.svgz" name="8028759.fig.0010d" type="image/svg+xml"></object><div class="fig-label"><b>(d) </b>Maintenance time (M)</div></div><div class="sub-figure" id="e"><object data="https://static.hindawi.com/articles/mpe/volume-2019/8028759/figures/8028759.fig.0010e.svgz" name="8028759.fig.0010e" type="image/svg+xml"></object><div class="fig-label"><b>(e) </b>Release Dates (r)</div></div></figure>

<p>Box plot of the RPD for large-scaled instances with different parameters.</p>

Mathematical Problems in Engineering

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Figure 10

Figure 10: Mathematical Modeling and Discrete Firefly Algorithm to Optimize Scheduling Problem with Release Date, Sequence-Dependent Setup Time, and Periodic Maintenance 

Figure 10 | Mathematical Modeling and Discrete Firefly Algorithm to Optimize Scheduling Problem with Release Date, Sequence-Dependent Setup Time, and Periodic Maintenance 