Performance Analysis of a Manufacturing Line Operated under Optimal Surplus-Based Production Control

<table>Outputs <svg height="20.5375" id="M176" style="vertical-align:-5.76984pt" version="1.1" viewbox="0 0 37.0625 20.5375" width="37.0625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.625,12.725)"><path d="M556 393q0 -39 -36 -106q-42 -78 -185 -279q-47 -66 -81 -108t-117 -135l-112 -26l-8 22q150 90 251 219q-6 136 -39 340q-8 53 -21 53q-6 0 -27 -19.5t-38 -42.5l-16 26q80 111 127 111q23 0 35 -28t20 -90q18 -137 27 -263h2q142 200 142 279q0 24 -14 48q-4 7 5 26
q13 28 43 28q18 0 30 -15.5t12 -39.5z" id="x1D466"></path></g>
<g transform="matrix(.012,-0,0,-.012,10.462,16.8)"><use xlink:href="#x1D457"></use></g>
<g transform="matrix(.017,-0,0,-.017,16.125,12.725)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,22.007,12.725)"><use xlink:href="#x1D458"></use></g><g transform="matrix(.017,-0,0,-.017,30.557,12.725)"><use xlink:href="#x29"></use></g>
</svg> versus demand <svg height="17.7875" id="M177" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 40.837502 17.7875" width="40.837502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.625,12.725)"><use xlink:href="#x1D466"></use></g><g transform="matrix(.017,-0,0,-.017,10.467,12.725)"><path d="M530 686q-79 -330 -126 -595q-5 -24 4 -24q22 0 77 53l16 -24q-42 -49 -88 -78.5t-72 -29.5q-37 0 -19 83l21 99h-2q-62 -83 -153 -141q-65 -41 -97 -41q-28 0 -48 31.5t-20 91.5q0 71 32.5 144t88.5 118q36 30 94 52.5t94 22.5q38 0 68 -13l29 158q7 40 2 47.5t-38 7.5
h-35l1 26q39 4 76 13.5t58.5 17t27.5 7.5q16 0 9 -26zM387 375q-11 11 -38.5 20t-51.5 9q-45 0 -79 -23q-46 -32 -77.5 -107.5t-31.5 -143.5q0 -40 9.5 -58.5t23.5 -18.5q40 0 113.5 70t99.5 118z" id="x1D451"></path></g><g transform="matrix(.017,-0,0,-.017,19.902,12.725)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,25.783,12.725)"><use xlink:href="#x1D458"></use></g><g transform="matrix(.017,-0,0,-.017,34.334,12.725)"><use xlink:href="#x29"></use></g>
</svg>.</table>

Mathematical Problems in Engineering

fig4

Figure 4

Figure 4: Performance Analysis of a Manufacturing Line Operated under Optimal Surplus-Based Production Control 