Optimal Acquisition and Inventory Control for a Remanufacturing System

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left">Demands of remanufactured<br/>products <svg height="15.25" id="M90" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 20.112499 15.25" width="20.112499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><path d="M780 372q0 -191 -178 -297q-128 -75 -335 -75h-250l7 27q61 7 77 22t28 76l77 398q11 62 0 76.5t-77 22.5l6 28h292q164 0 258.5 -67.5t94.5 -210.5zM678 375q0 119 -73 180.5t-201 61.5q-62 0 -82 -13q-17 -7 -25 -53l-80 -427q-8 -47 -4 -62t26 -20q24 -6 80 -6
q166 0 262.5 95t96.5 244z" id="x1D437"></path></g>
<g transform="matrix(.012,-0,0,-.012,13.712,15.187)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg></td><td align="center">1</td><td align="center">2</td><td align="center">3</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">Distribution <svg height="18.375" id="M91" style="vertical-align:-3.84924pt" version="1.1" viewbox="0 0 46.837502 18.375" width="46.837502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,13.525)"><path d="M619 482q0 -69 -40.5 -119t-96 -72.5t-118.5 -26.5h-44l-70 20l-31 -151q-14 -67 0.5 -83t89.5 -22l-5 -28h-287l8 28q65 7 81.5 22t29.5 83l79 398q12 56 0.5 70.5t-78.5 20.5l7 28h255q108 0 164 -43t56 -125zM524 478q0 141 -146 141q-25 0 -47 -8q-16 -6 -20.5 -13.5
t-10.5 -39.5l-43 -241q37 -13 83 -13q67 0 125.5 45t58.5 129z" id="x1D443"></path></g><g transform="matrix(.017,-0,0,-.017,13.712,13.8)"><path d="M332 -241l-20 -25q-120 87 -179 226.5t-59 310.5v1q0 170 59 308.5t179 227.5l20 -25q-86 -76 -134.5 -213.5t-48.5 -298.5q0 -160 48.5 -297.5t134.5 -214.5z" id="xF6021"></path></g><g transform="matrix(.017,-0,0,-.017,20.25,13.525)"><path d="M780 372q0 -191 -178 -297q-128 -75 -335 -75h-250l7 27q61 7 77 22t28 76l77 398q11 62 0 76.5t-77 22.5l6 28h292q164 0 258.5 -67.5t94.5 -210.5zM678 375q0 119 -73 180.5t-201 61.5q-62 0 -82 -13q-17 -7 -25 -53l-80 -427q-8 -47 -4 -62t26 -20q24 -6 80 -6
q166 0 262.5 95t96.5 244z" id="x1D437"></path></g>
<g transform="matrix(.012,-0,0,-.012,33.9,17.6)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
<g transform="matrix(.017,-0,0,-.017,40.238,13.8)"><path d="M311 271q0 -171 -59 -310.5t-179 -226.5l-20 25q86 77 134.5 214.5t48.5 297.5q0 161 -48.5 298.5t-134.5 213.5l20 25q120 -89 179 -227.5t59 -308.5v-1z" id="xF6031"></path></g>
</svg></td><td align="center">0.4</td><td align="center">0.4</td><td align="center">0.2</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The distribution of the demands of remanufactured products in stage 1.

Discrete Dynamics in Nature and Society

tab3

Table 3

Table 3: Optimal Acquisition and Inventory Control for a Remanufacturing System 