By Dr. Saul I. Gass
Pleasing, nontechnical advent covers simple thoughts of linear programming and its courting to operations examine; geometric interpretation and challenge fixing, resolution innovations, community difficulties, even more. Appendix bargains distinct statements of definitions, theorems, and methods, extra computational approaches. simply high-school algebra wanted. Bibliography.
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Additional resources for An Illustrated Guide to Linear Programming
The predicted production, which is used to plan transportation, storage, and related needs, is based on assumed or measured processing rates, availability of manpower, resources, etc. If the model is a “reasonable” mathematical representation of the real problem, the plans based on the predicted production have not led us too far astray and, in fact, have allowed us to plan the operation in a more efficient and, thus, a more profitable manner. In developing the formulation of problems in terms of a linearprogramming model, we must guard against being accused of having a tool for a job and, if the tool does not fit, reshaping the job to fit the tool.
1 My purpose here is to have the reader become adroit in recognizing the essential features of linear programming and not to become proficient in solving such problems. Thus, computational discussions will be rudimentary in nature and are relegated to the next chapter and the Appendix. THE DIET PROBLEM The proof of the pudding is in the eating. CERVANTES Anyone attempting to live within a budget has a number of alternative ways to allocate his limited funds. A budget-minded housewife has to set aside so much for rent, clothes, food, entertainment, transportation, and so on.
We can argue about this assumption based on real-world experience. If it costs $100 to hire a truck to deliver one refrigerator, the unit cost for two refrigerators (excluding handling costs) would be $50, for three it would be $33—a nonlinear cost relationship. 80 gift from Atlantic City have the following table: The graph of these rates versus mileage illustrates the nonlinearity of the postal rates, Figure 4. We see that the graph is not continuous in that it is made up of vertical and disconnected segments.
An Illustrated Guide to Linear Programming by Dr. Saul I. Gass