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A I I E Transactions Volume 13, 1981 - Issue 3
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Original Articles

Optimization of the Second-Order Logarithmic Machining Economics Problem by Extended Geometric Programming Part II: Posynomial Constraints

Clarence L. Hough Jr. Mechanical Engineering Department, Texas A&M University, College Station, Texas, 77843
&
Ramon E. Goforth Mechanical Engineering Department, Texas A&M University, College Station, Texas, 77843
Pages 234-242 | Received 01 Mar 1980, Published online: 06 Jul 2007

Citations (16)

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Read on this site (8)

Jun Wang, Qiang Zhang & Philip Mathew. (2011) OPTIMIZATION OF CUTTING CONDITIONS IN DRILLING OPERATIONS WITH PLANE RAKE FACED TWIST DRILLS. Machining Science and Technology 15:1, pages 91-109.
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J. Wang & E. J. A. Armarego. (2001) COMPUTER-AIDED OPTIMIZATION OF MULTIPLE CONSTRAINT SINGLE PASS FACE MILLING OPERATIONS. Machining Science and Technology 5:1, pages 77-99.
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Yoonsang Chang & Myeong-Woo Cho. (2001) Flexible optimization of machining variables using constrained R-T characteristic curve. International Journal of Production Research 39:17, pages 4065-4075.
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C. H. Scott, T. R. Jefferson & A. Lee. (1996) Stochastic tool management via composite geometric programming. Optimization 36:1, pages 59-74.
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CHRISTOS KOULAMAS. (1994) A NOTE ON INCORPORATING TOOL LIFE VARIABILITY IN THE GEOMETRIC PROGRAMMING FORMULATION OF MACHINING ECONOMICS PROBLEMS. IIE Transactions 26:4, pages 87-90.
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E. J. A. ARMAREGO, A. J. R. SMITH & J. WANG. (1993) Constrained optimization strategies and CAM software for single-pass peripheral milling. International Journal of Production Research 31:9, pages 2139-2160.
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CHRISTOSP. KOULAMAS. (1991) Simultaneous determination of optimal machining conditions and tool replacement policies in constrained machining economics problems by geometric programming. International Journal of Production Research 29:12, pages 2407-2421.
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Yun‐Kung Chung. (1983) Generalized geometric programming with both equality and inequality constraints. Journal of the Chinese Institute of Engineers 6:4, pages 269-276.
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Articles from other publishers (8)

David Stephenson & John Agapiou. 2016. Metal Cutting Theory and Practice, Third Edition. Metal Cutting Theory and Practice, Third Edition 751 782 .
M.N. Cheng, C.F. Cheung, W.B. Lee, S. To & L.B. Kong. (2008) Theoretical and experimental analysis of nano-surface generation in ultra-precision raster milling. International Journal of Machine Tools and Manufacture 48:10, pages 1090-1102.
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J. Wang, T. Kuriyagawa, X.P. Wei & D.M. Guo. (2002) Optimization of cutting conditions for single pass turning operations using a deterministic approach. International Journal of Machine Tools and Manufacture 42:9, pages 1023-1033.
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Jun Wang. (1998) Development of drilling optimization strategies for CAM applications. Journal of Materials Processing Technology 84:1-3, pages 181-188.
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J. Wang. (1998) Computer-aided economic optimization of end-milling operations. International Journal of Production Economics 54:3, pages 307-320.
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C. L. HoughJr.Jr. & Y. Chang. (1998) Constrained Cutting Rate-Tool Life Characteristic Curve, Part 2: Convex Programs. Journal of Manufacturing Science and Engineering 120:1, pages 160-165.
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C. L. HoughJr.Jr. & Y. Chang. (1998) Constrained Cutting Rate-Tool Life Characteristic Curve, Part 1: Theory and General Case. Journal of Manufacturing Science and Engineering 120:1, pages 156-159.
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S. C. Fang & J. R. Rajasekera. (1987) A perturbation approach to the main duality theorem of quadratic geometric programming. Zeitschrift f�r Operations Research 31:3, pages A103-A118.
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