By Dr. Saul I. Gass
Exciting, nontechnical advent covers easy techniques of linear programming and its dating to operations study; geometric interpretation and challenge fixing, answer thoughts, community difficulties, even more. Appendix deals particular statements of definitions, theorems, and strategies, extra computational approaches. merely high-school algebra wanted. Bibliography.
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Extra info for An Illustrated Guide to Linear Programming
In order to proceed with the formulation of the mathematical model, we rearrange the given information in a tableau: The blank triangles correspond to the unknown number of refrigerators to be shipped from the corresponding factory and store. To demonstrate that an experienced—or even inexperienced—shipping clerk (or vice-president in charge of shipping refrigerators) has no difficulty in coming up with a solution, we exhibit two possible solutions: The reader will not have any difficulty writing down others.
Operations research or management science. OPERATIONS RESEARCH AND MODELS When we mean to build, We first survey the plot, then draw the model; And when we see the figure of the house, Then must we rate the cost of the erection. SHAKESPEARE Definitions of operations research (OR), like advice to the lovelorn, have always been in demand and are plentiful. ” For our needs, we consider OR to be the application of scientific techniques to decision problems. What interests us most, however, is not what OR claims to be, but its methodology.
This is not the case for the general linear-programming problem. For the transportation problem, it is due to the special structure of the equations of the corresponding mathematical model. Although we described this linear-programming model in terms of factories, stores, and refrigerators, it is quite important to recognize that we could have cast the discussion into a more general format dealing with origins (factories), destinations (stores), homogeneous units to be shipped (refrigerators), and some measure to be minimized (total transportation cost).
An Illustrated Guide to Linear Programming by Dr. Saul I. Gass