Project duration closes only after instrument count and runs per day produce an exact daily readout budget. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Daily output sets days

The target is fixed. The scan changes instrument count and runs per day, then checks bases per day before dividing into days.

Nday=NiNrNrunN_{\text{day}}=N_i\cdot N_r\cdot N_{\text{run}}
Indexed throughputIndexed measurements become exact count budgets.run outputday outputindexed readout

More instruments and more runs shorten the schedule

The target column stays fixed. Each row first computes the daily physical readout, then divides the target by that daily amount.

NrunNinstNrun/dayNbase/dayNtargetdays2000124000240006200022800024000320002312000240002\begin{array}{c|c|c|c|c|c}N_{\text{run}}&N_{\text{inst}}&N_{\text{run/day}}&N_{\text{base/day}}&N_{\text{target}}&\text{days}\\2000&1&2&4000&24000&6\\2000&2&2&8000&24000&3\\2000&2&3&12000&24000&2\\\end{array}
Indexed throughputIndexed measurements become exact count budgets.run outputday outputindexed readout

The fastest row closes by exact division

The fastest row produces 12000 bases per day against a 24000 base target, so the exact duration is 2 days.

days=2400012000=2\text{days}=\frac{24000}{12000}=2
Indexed throughputIndexed measurements become exact count budgets.run outputday outputindexed readout