By H.J. Greenberg
Welcome to investigate, designed to supply machine suggestions for examining linear courses and their options. bankruptcy 1 provides an outline of research and the way to put in it. It additionally describes how you can start and the way to acquire extra documentation and aid online. bankruptcy 2 stories the varieties of linear programming types and describes the syntax of a version. one of many regimen, yet vital, services of examine is to allow handy entry to rows and columns within the matrix by means of conditional delineation. bankruptcy three illustrates basic queries, like show, record, 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 effortless workouts to illustrate computing device assisted research and introduce extra conventions of the learn language. in addition to basic queries, it demonstrates the INTERPRT command, which automates the research technique and offers English causes of effects. The final 2 routines are diagnoses of uncomplicated infeasible circumstances of a selected version. bankruptcy five progresses to a few complex makes use of of learn. the 1st is obstructing to acquire macro perspectives of the version and for locating embedded substructures, like a netform. the second one is displaying premiums of substitution defined via the fundamental equations. Then, using the lessen and foundation instructions are illustrated for quite a few purposes, together with answer research, infeasibility analysis, 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)
0 R 4 Rows are in submatrix. ROW STAT LEVEL (Y) LO BOUND DMODE L 0 0 DMOLA L 0 0 OMOSE L 0 0 SMOSF L 0 a ANALYZE ... 0 C 7 Columns are in submatrix. 000 71. 000 0 a a Figure 4-10. Displaying Rows and Columns in Submatrix At this point, it helps to know what the rows and columns mean. Figure 4-11 gives their syntax with the EXPLAIN command. We purposely did not LIST COST right after the displays in figure 4-10 because to do so changes the submatrix, and we first want to explain its rows and columns.
L 0 = DMOCH 0 = DMODE 0 = DMOLA 0 = DMOSE 0 = DMOSF = 0 0 0 0 0 DMOCHI DMODEI DMOLAI DMOSEl DMOSFl Figure 3-6. A Picture and List of the Sub matrix The default form of the list output is an equation listing, which is an algebraic view - that is, the equations for the submatrix. We can obtain other forms, such as the tabular listing in figure 3-7. The use of the COLUMN parameter (delimited by I I) lists the nonzeroes sorted by columns. ) The equations, in figure 3-6, show most clearly that each fixed demand column is really a right-hand side.
Column TMOSFDE transports mahogany from San Francisco to Denver. Column TMOSFLA transports mahogany from San Francisco to Los Angeles. Column TMOSFSE transports mahogany from San Francisco to Seattle. Figure 4-11. Explaining the Syntax of the Rows and Columns Now we want to see the costs, which we list (with row tabular form) in figure 412. This tells us the delivered costs to Denver, LA and Seattle. That is, we already know the supply cost in San Francisco is $45. Now the TRACE and the earlier EXPLAINs tell us that there are 3 activities with zero reduced cost.
A Computer-Assisted Analysis System for Mathematical Programming Models and Solutions: A User’s Guide for ANALYZE(c) by H.J. Greenberg