By H.J. Greenberg

Modeling by way of Object-Driven Linear Elemental kinfolk (MODLER) is a working laptop or computer language for representing linear programming types, thoroughly break free circumstances outlined by means of information realizations. it is usually representations of binary variables and logical constraints, which come up evidently in large-scale making plans and operational determination help. the fundamental enter to MODLER is a version dossier, and its simple output is a matrix dossier that's in a typical (MPS) layout for many optimizers and for learn and RANDMOD. MODLER may also generate a syntax dossier for study to permit computerized translation of actions and constraints into English for clever research aid. The publication is observed by way of a DOS model of MODLER on 3.5 inch diskettes and *A Laboratory guide for instructing Linear Programming* is out there upon request.

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**Additional info for Modeling by Object-Driven Linear Elemental Relations: A User’s Guide for MODLER(c)**

**Example text**

In figure 3-10, the schema form is displayed. MODlER ... lIST MODEL Minimize COST Subject to: Model TRANSGEN General Transportation Model with uniform gain COST = TRANCOST(MT,SR,DR)*T(MT,SR,DR) + PRODCOST(MT,SR)*P(MT,SR) - REVENUE(MT,DR)*C(MT,DR) S(MT,SR) = P(MT,SR) - T(MT,SR,DR) >=-SUPPlY(MT,SR) D(MT,DR) = GAIN*T(MT,SR,DR) - C(MT,DR) >= DEMAND(MT,DR) Decision variables: o <= P o <= T <= CAPACITY o <= C Figure 3-9. Listing the Model HaDLER ... SCHEMA DISPLAY TABLE : : : : : : : : : : : : : : : :: BLOCK SCHEMA :::::::::::::::::: P(MT,SR) T(MT,SR,DR) C(MT,DR) 1 - 1 >=-SUPPlY S(MT,SR) - 1 >=DEMAND GAIN D(MT,DR) -REVENUE ...

S) T(m,s,j) for all m,sE(MT,SR), where J(m,s) = (jEDR: T(m,s,j) is generated}. d) GAIN*T(m, i ,d) - C(m,d) for all m,dE(MT,DR), where I(m,d) = (sESR: T(m,s,j) is generated}. d)eC REVENUE(m,d)*C(m,d), where T = ((m,s,d): T(m,s,d) is generated}, P = ((m,s): P(m,s) is generated}, C = ((m,d): C(m,d) is generated}. MODLER . Page 3-15 In figure 3-7 we first read in the model file shown in figure 3-6. Then, liST EQU is the command to list its equations. We see the three equation classes listed, as they were defined in the model file.

The source of each explicit set is the name of the data file. MODLER . Page 4-10 MODlER ... DAT 1, ... DAT Figure 4-6. listing the Sets of an Instance of the Product Distribution Model A value of 3 is assigned to NUMPROC in the data file, and this caused set p to become defined as shown. Notice the syntax created by MODLER. The word process is inherited from the set meaning; the modifiers, 1st, 2nd, and 3rd, were added by MODLER. Figure 4-7 shows the block schema view. The cell entries describe the coefficients in the LP matrix.