A Computer-Assisted Analysis System for Mathematical by H.J. Greenberg PDF

By H.J. Greenberg

Welcome to research, designed to supply laptop information for studying linear courses and their ideas. bankruptcy 1 supplies an summary of research and the way to put in it. It additionally describes tips on how to start and the way to procure additional documentation and aid online. bankruptcy 2 studies the kinds of linear programming types and describes the syntax of a version. one of many regimen, yet vital, services of research is to allow handy entry to rows and columns within the matrix via conditional delineation. bankruptcy three illustrates easy queries, like demonstrate, checklist, and imagine. This bankruptcy additionally introduces the SUBMAT command point to outline any submatrix through an arbitrary series of additives, deletions and reversals. Syntactic causes and a schema view also are illustrated. bankruptcy four is going via a few ordinary routines to illustrate desktop­ assisted research and introduce extra conventions of the study language. along with easy queries, it demonstrates the INTERPRT command, which automates the research procedure and provides English motives of effects. The final 2 workouts are diagnoses of ordinary infeasible circumstances of a selected version. bankruptcy five progresses to a couple complicated makes use of of examine. the 1st is obstructing to procure macro perspectives of the version and for locating embedded substructures, like a netform. the second one is exhibiting charges of substitution defined by way of the elemental equations. Then, using the decrease and foundation instructions are illustrated for various functions, together with resolution research, infeasibility prognosis, and redundancy detection.

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Additional info for A Computer-Assisted Analysis System for Mathematical Programming Models and Solutions: A User’s Guide for ANALYZE(c)

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000 - 1. 000 - 1. 0 0 U=* 0=0 Factor - 1. 000 0 Figure 3-12. Using SHOW COL to see Activity Information: Rim, Solution, Matrix Coefficients, and Reduced Cost Factors The columns shown are those whose reduced costs are zero and whose name begins with TMO and ends with DE, leaving characters 4&5 free. The factors are the parts of the reduced cost: -PiAij, where Pi is the price of the i-th row and Aij is the matrix coefficient. By convention, i = 0 corresponds to the objective row, which is COST in WOODNET.

Submatrix is set Figure 4-2. Beginning an Analysis to Explain the $73 Price of Row DMOCH Then, we picture the resulting submatrix, shown in figure 4-3. In this case, the 3x3 submatrix shows the COST and a flow from the supply activity SMOSEI, shipped by the transportation activity TMOSECH, and finally consumed by the demand activity, DMOCHl. ANALYZE ... PI DS T MMM 000 CSS HE E 11C Picture of submatrix H COST DMOCH SMOSE + + = MIN += 0 + - = 0 Figure 4-3. Picturing the Submatrix Found by TRACE ANALYZE.

Before we do so, enter EXEC WOODNET at the ANALYZE prompt. Your screen should appear as in figure 4-1. ANALYZE ... EXEC WOODNET WOODNET ..... an optimal network model Analyze the properties, beginning with model attributes. Then, try using the TRACE and RATEOF commands. Try to explain what you learn about the model, using the EXPLAIN and SYNTAX commands to put your explanation in English. In particular, explain the marginal prices of the supply and demand rows. Figure 4-1. Executing WOODNET (Reads in LP Packed and Syntax files) Referring back to figure 3-4, we want to explain the price of $73 for the first demand row (DMOCH).

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