PPT-Optimization : The min and max of a function

Michael Sedivy Daniel Eiland Introduction Given a function Fx how do we determine the location of a local extreme min or max value Two standard methods exist Fx with global minimum D and local minima B and F. 2 02 02 02 Flash point TOC F T 79 100 150 150 150 Distillation test T 78 Distillate percentage by volume of tota l distillate to 680F to 437F 25 10 to 500F 40 70 15 55 35 15 to 600F 75 93 60 87 45 80 15 75 Residue from distillation volume Cue soft triangle X. Wang, B. Golden, and E. . Wasil. INFORMS. San . Francisco. November 2014 . Introduction: Min-max objective. In the Multi-Depot VRP, the objective is to minimize the total distance traveled by all vehicles. Min.-Max. CFM200 - 390200 - 290Min.-Max. Sones TM C INTERNAL BLOWERSTANDARDINTERNAL BLOWER withAIRFLOW CONTROL TECHNOLOGY™ ACT™ is an exclusive feature built into specic Zephyr hoods which !max mge2!T+2max mge!Tmax mg0(13)x0+_x0 !+max mge2!T2max mge!T+max mg0(14)Ifweassumetheworst-case,T=Tmax,thentheinequalitiesfromabovebecomemax mg(e!Tmax1)2x0+_x0 !++max mg(e!Tma Approximate Algorithms. Alessandro Farinelli. Approximate Algorithms: outline. No guarantees. DSA-1, MGM-1 (exchange individual assignments). Max-Sum (exchange functions). Off-Line guarantees. K-optimality and extensions. submodular. . objectives: . continuous extensions . &. . dependent . randomized . rounding. Chandra . Chekuri. Univ. of Illinois, Urbana-Champaign. Combinatorial Optimization. N. a finite ground set. Collin . Bezrouk. 2-24-2015. Discussion Reference. Some of this material comes from . Spacecraft Trajectory Optimization. (Ch. 7) by Bruce Conway.. Optimization Problem Setup. Optimization problems require the following:. Presented by. : . Samia. . Abid. Student: MS(CS). Supervised by: Dr. . Nadeem. . Javaid. Associate Professor, Department of Computer Science, . COMSATS Institute of Information . Technology, 44000, Islamabad, Pakistan.. Qifeng. Chen. Stanford University. Vladlen. . Koltun. Intel Labs. Optical flow. Motion field between two image frames. Optical flow. Motion field between two image frames. Image 1. Image 2. optical flow. 1. PIM is a two-player game:. 12 marbles are arranged in a line.. Players take turns to remove marbles from the right end (i.e. you must remove the marbles with the lowest number(s) ). Players can remove 1, 2 or 3 marbles . Linda . M. Collins, Ph.D.. The Methodology Center and. Department of Human Development & Family . Studies. Penn State. Presented at Grand Rounds. Yale Center for Implementation Science. co-sponsor: Center for Methods of Implementation and Prevention Science. Objectives. Study the basic components of an . optimization problem. .. Formulation of design problems as mathematical programming problems. . Define . stationary points . Necessary and sufficient conditions for the relative maximum of a function of a single variable and for a function of two variables. . Michael Kantor. CEO and Founder . Promotion Optimization Institute (POI). First Name. Last Name. Company. Title. Denny. Belcastro. Kimberly-Clark. VP Industry Affairs. Pam. Brown. Del Monte. Director, IT Governance & PMO.