Assignment constraints

Since every batch is manufactured only once in each cycle, it will appear exactly once in the first position and exactly once in the second position in the pairs of batches that are produced during a production cycle. Therefore, the following two assignment constraints must apply ... 

The assignment constraint is aimed at ensuring that only one task is conducted in a unit at any time point. It is, therefore, apparent that the assignment constraint is only necessary if more than one task can be performed in a given unit. Otherwise, it is also redundant. 

As mentioned earlier, the fact that reactors 1 and 2 involve more than one task render the assignment constraint (constraint (2.19)) necessary so as to ensure that at any given time point only one task can commence. This is shown below. 

The assignment constraints ensures that only one task takes place in a given unit at a given point in time. 

Distance geometry was used to sample possible binding models in a single run by assigning constraints to ... 

It is, however, fundamental to preprocess the constraints to remove all useless variables and constraints, and insert the maximum number of bounds, thereby hopefully reducing their distance, and exploiting all the information contained in the assigned constraints. 

Kalagnanam, J. R., Davenport, A. J., and Lee, H. S. (2000). Computational aspects of clearing continuous call double auctions with assignment constraints and indivisible demand. Technical Report IBM Research Report RC21660(97613), IBM T. J. Watson Research Center, Yorktown Heights, NY... 

Kalagnanam, J., Devenport, A.J. and H.S. Lee, Computational Aspects of Clearing Continuous Call Double Auctions with Assignment Constraints and Indivisible Demand , Electronic Commerce Journal, 1, 3-15, 2001. 

Constraint 1 (Literal Level Assignment Constraint) Let te el(lj) denote the level of the... 

Constraint 2 (Communicating Literals Level Assignment Constraint) Let... 

Constraint 3 (AECs Level Assignment Constraint) Let level(c ) denote the level of AECA in an AH. For allc jC, cQ where k k, ifc, >0, then level c ) > level(ci.,) to avoid backtracking. 

A is a set of axioms for assigning constraint C to variables through the Be observation channel. 

Constraint (1) is the main assignment constraint and enforces the condition that not more than one task can be processed in a unit at any time. Constraint (2) enforces the condition that all tasks that start must finish, while constrsaints (3) and (4) enforce the condition that not more than one task can start or finish on a specific unit at any time ... 

Assignment constraints for stages with parallel processors jeJ... 

Equation (9.10) is the material balance applied at each time interval (tk). Notice that this equation is very similar to the mass balance in the planning formulation [Eq. (9.1)]. The basic assignment constraint is enforced by Eq.(9.11). 

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