Supervisor Reconfiguration for Deadlock Prevention by Resources Reallocation

<table>(a) An ordinary M-net <svg height="16.4125" id="M474" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 57.137501 16.4125" width="57.137501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> and (b) controlled system <svg height="18.725" id="M475" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 73.137497 18.725" width="73.137497" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,15.775)"><path d="M300 -147l-18 -23q-106 71 -159 185.5t-53 254.5v1q0 139 53 252.5t159 186.5l18 -24q-74 -62 -115.5 -173.5t-41.5 -242.5q0 -130 41.5 -242.5t115.5 -174.5z" id="x28"></path></g><g transform="matrix(.017,-0,0,-.017,5.944,15.775)"><path d="M857 650l-6 -28q-44 -4 -61.5 -16.5t-29.5 -48.5q-11 -32 -37 -166l-78 -399h-29l-351 537h-4l-56 -276q-24 -120 -24 -164q0 -35 17.5 -46t75.5 -15l-6 -28h-245l7 28q41 2 62 14t31 44q10 30 41 171l53 245q8 44 6.5 60.5t-14.5 33.5q-10 15 -27 19.5t-64 6.5l6 28h153
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</svg>.</table>

Journal of Applied Mathematics

fig4

Figure 4

Figure 4: Supervisor Reconfiguration for Deadlock Prevention by Resources Reallocation 