By Robert Creese
Geometric programming is used for layout and price optimization, the improvement of generalized layout relationships, rate ratios for particular difficulties, and revenue maximization. The early pioneers of the method - Zener, Duffin, Peterson, Beightler, Wilde, and Phillips -- performed vital roles within the improvement of geometric programming. There are 3 significant parts: 1) advent, background, and Theoretical basics, 2) functions with 0 levels of trouble, and three) purposes with confident levels of trouble. The primal-dual relationships are used to demonstrate the best way to make sure the primal variables from the twin resolution and the way to figure out extra twin equations while the levels of hassle are confident. a brand new procedure for identifying extra equations for the twin, Dimensional research, is tested. a few of the resolution concepts of the limited spinoff strategy, the condensation of phrases, and dimensional research are illustrated with instance difficulties. The target of this paintings is to have readers strengthen extra case reports to extra the appliance of this fascinating software. desk of Contents: advent / short historical past of Geometric Programming / Theoretical concerns / The optimum field layout Case learn / Trash Can Case learn / The Open shipment transport field Case examine / steel Casting Cylindrical Riser Case learn / stock version Case learn / method Furnace layout Case learn / gasoline Transmission Pipeline Case examine / revenue Maximization Case learn / fabric Removal/Metal slicing Economics Case learn / magazine Bearing layout Case learn / steel Casting Hemispherical best Cylindrical part Riser\\Case research / Liquefied Petroleum gasoline (LPG) Cylinders Case examine / fabric Removal/Metal slicing Economics with Constraints / The Open shipment transport field with Skids / revenue Maximization contemplating lowering price capabilities of stock coverage / precis and destiny instructions / Thesis and Dissertations on Geometric Programming
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Extra resources for Geometric programming for design and cost optimization
What is the new total cost, the new box dimensions, and the number of ferry trips required to transport the 400 cubic yards of gravel? 2. 06. What is the new total cost, the new box dimensions, and the number of ferry trips required to transport the 400 cubic yards of gravel. REFERENCES 25 3. A cover must be added to the box and it is made having the same costs as the box bottom. Determine the new total cost, the new box dimensions, and the number of ferry trips required to transport the 400 cubic yards of gravel.
4. 6 − 115x2−1 x3−1 − 2x3 . (a) Solve for the dual variables and the dual objective function. (b) Solve for the primal variables and the primal objective function. (c) Show that the cost terms (negative functions) of the primal are in the same ratio as the dual variables. ) 50 11. PROFIT MAXIMIZATION CASE STUDY REFERENCES  Shiang-Tai Liu,“A Geometric Programming Approach to Profit Maximization”, Applied Mathematics and Computation, 182, (2006), pp 1093–1097. 47  M. Wesenbeck,“Equilibrium Selection in Games; the Mollifier Method”, Journal of Mathematical Economics, 41, (2005), pp 285–301.
B. Determine the average total cost per pump. c. What is the number of set-ups per year? d. What is the total inventory carrying cost for the year? 2. The demand for the pumps increased dramatically to 3,000 because of the oil spill in the Gulf. D Cu C S = Annual Demand (pieces/year) = Item Unit Cost ($/piece) = Inventory Carrying Cost ($/piece-yr) = Set-up Cost ($/set-up) = 3,000/yr = $ 300/piece = $ 20/piece-year = $ 500/set-up a. Determine the total cost for the 3,000 pumps during the year. b.
Geometric programming for design and cost optimization by Robert Creese