2) and the schedule needs to be decided. Let t1 be the time required to perform show 1 and let t2 be the time required to perform show 2. These times include not only performing the show, but getting...


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2)<br>and the schedule needs to be decided. Let t1 be the time required to perform show 1 and<br>let t2 be the time required to perform show 2. These times include not only performing<br>the show, but getting the theatre clean for any showing being performed afterwards. Let us<br>define decision variable s; as the start time for show i, i = 1,2. All the times are given in<br>hours, which means that 0 < $1, 82, t1, t2 24.<br>Two different shows must be performed at the same theatre on the same night<br>We can write si + t1 < s2 if show 1 is to be scheduled before show 2. Or we can write<br>$2 + t2 < $1 if we wish to impose that show 2 is performed before show 1.<br>However, as we do not have any preference, you must model the following requirement<br>without using nonlinear expressions:

Extracted text: 2) and the schedule needs to be decided. Let t1 be the time required to perform show 1 and let t2 be the time required to perform show 2. These times include not only performing the show, but getting the theatre clean for any showing being performed afterwards. Let us define decision variable s; as the start time for show i, i = 1,2. All the times are given in hours, which means that 0 < $1,="" 82,="" t1,="" t2="" 24.="" two="" different="" shows="" must="" be="" performed="" at="" the="" same="" theatre="" on="" the="" same="" night="" we="" can="" write="" si="" +="" t1="">< s2="" if="" show="" 1="" is="" to="" be="" scheduled="" before="" show="" 2.="" or="" we="" can="" write="" $2="" +="" t2="">< $1="" if="" we="" wish="" to="" impose="" that="" show="" 2="" is="" performed="" before="" show="" 1.="" however,="" as="" we="" do="" not="" have="" any="" preference,="" you="" must="" model="" the="" following="" requirement="" without="" using="" nonlinear="" expressions:="" "either="" show="" 1="" is="" performed="" before="" show="" 2,="" or="" show="" 2="" is="" performed="" before="" show="" 1."="" you="" are="" not="" asked="" to="" write="" a="" full="" integer="" programming="" formulation,="" just="" the="" constraints="" that="" are="" required="" to="" model="" the="" previous="">

Jun 09, 2022
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