The authors also presented a second definition where the uncertainty is modeled into the constraints which restrict the variation of the original objective functions to their means.
-Weight capacity constraints which restrict remaining weight on board each ship after discharge of all cargoes at end event g ∈ G so that it does not exceed ship dwt capacity, given by: {W}_i^kge {W}^k,iin D,kern0.5em mathrm{and} kin S,kern0.5em mathrm{sumre}kern0.75em {sum}_{z=3,4}{x}_{igz}^k=1,gin G, (13).
-TEU capacity constraints which restrict remaining TEU on board each container ship after discharge of all cargoes at end event g ∈ G so that it does not exceed ship TEU capacity, given by: {N}_i^kge {N}^k,iin D,mathrm{and} kin S,mathrm{where} {sum}_{z=3,4}{x}_{igz}^k=1,gin G, (15).
Subject to: Using the above-mentioned denotations, the flow constraints can be formulated as follows: -The flow constraints which restrict the flow of transport links for each ship originating from open event to only one link at most, given by: {sum}_{jin Eg}{sum}_{zin Z}{x}_{fjz}^kle 1,kin S, (2).
-Flow constraints which restrict the flow of transport links for each ship towards event e ∈ E to be equal to the flow of transport links outward from this event, given by: {sum}_{iin Ef}{sum}_{zin Z}{x}_{iez}^k={sum}_{jin Eg}{sum}_{zin Z}{x}_{ejz}^k,ein E,mathrm{and} kin S, (3).
-Volume capacity constraints which restrict remaining volume on board each non-container ship after discharge of all cargoes at end event g ∈ G so that it does not exceed ship volume capacity, given by: {V}_i^kge {V}^k,iin D,mathrm{and} kin S,mathrm{where}kern0.75em {sum}_{z=3,4}{x}_{igz}^k=1,gin G, (14).
-Laden-or-ballast load position constraints which restricts ship load position to either laden or ballast.
In our algorithm, this deficiency is overcome by defining a new constraint, which restrict that the distances between geometric centers of all the ligands (for one binding site) in the same cluster should be less than a certain threshold (cluster radius).
In contrast to hard constraints (Mathews et al., 2004), which restrict the folding space on the level of the generating function, soft constraints leave the structure ensemble intact.
The sequential execution of these computations fails to cope with the real-time constraints which further restrict the usefulness of Real-Time Simulation (RTS) in a Virtual Reality (VR) environment.
According to above definitions, qualitative constraints constitute a QDE, which restricts the generation of possible qualitative states.
