Sentence examples for machine j is from inspiring English sources
ρ j Utilization factor for machine j (the value of ρ indicates the probability in which machine j is busy).
Y jk = 1 if machine j is assigned to cell k 0 otherwise Open image in new window.
The following are the decision variables: X ik = 1 if part i is assigned to cell k 0 otherwise Open image in new window Y jk = 1 if machine j is assigned to cell k 0 otherwise Open image in new window ρ j Utilization factor for machine j (the value of ρ indicates the probability in which machine j is busy).
Constraint 4 defines that if machine (j) is assigned to cell (k), each operation of part (i) can be processed on machine (j) by tool (t) in route (r) in cell (k).
(Z_{jk}): 1 if machine (j) is assigned to cell (k); 0 otherwise (X_{sirjkt}) : 1 if operation (s) of part (i) in route (r) is processed on machine (j) in cell (k) by tool (t); 0 otherwise (R_{ir}) : 1 if route (r) is selected for part (i); 0 otherwise.
The number of various tools for different machines is known and finite when a tool changing on machine (j) is done that operation (s) from part (i) on machine (j) in cell (k) with tool (t) is done and operation (s + 1) from the same part (i) on the same machine (j) in the same cell (k) with tool (t^{prime}) is done.
nplusp jt = a means that a duplicates of machine type j are returned from machine depot to cells in period t.
Moreover, machine failure cost (B_{j}) for each machine (j) can be included fixed and variable cost of repair in addition to the machine breakdown opportunity.
As described in the figure, the empirical expectation of v i ( l ) v i ( l ′ ) scales as O ( n − 2 ) for 10 ≤ n ≤ 1000 ; over this range the empirical expectation of v i ( l ) v j ( l ′ ), i ≠ j, is within machine error (≤10−19) of zero.
SU, system unbalance V; TH, throughput ({l, if operation 0 of job j is assigned on machine m).
This is the standard cosine similarity measure from machine learning theory (the value of ψ j is the cosine of the angle between the two vectors).
