Bài giảng tối ưu hóa Bài 1 Giới thiệu Ph.D Lê Minh TâmHUFI

Design of experiments Tâm Minh Lê, Ph.D Faculty of Food Technology, HUFI 1.01 Introduction Tâm Minh Lê Design of experiment When was the last time you ran an experiment ? Tâm Minh Lê Design of experiment What is “Running experiment” ?  We it all the time Tâm Minh Lê Design of experiment What is “Running experiment” ?  We it all the time Tâm Minh Lê Design of experiment What is “Running experiment” (RE) ?  RE: to understand a system by disturbing its factors  RE efficiently: doing the least amount of works and getting the most amount of information  RE at work (R&D staff): money and time consuming, we have to run experiment correctly at the first time Tâm Minh Lê Design of experiment Running experiments in industrial contexts  Boiling water: pick the setting that uses the lowest total energy  Heating setting: low vs high  Type of pot: metal vs glass  Making use of lid: with vs without Tâm Minh Lê Design of experiment Running experiments in industrial contexts  Planting mushroom  Light intensity: low vs high  Watering/Humidity: low vs high  Type of soil: A vs B  Fertilize: C vs D  etc Tâm Minh Lê Design of experiment 10 Summary: why we have to run experiments ?  To improve an objective  To improve an objective, we must understand its system  To understand the system, we might adjust multiple factors (a lot of work)  Running experiment allows us to the least amount of works and getting the most amount of information Tâm Minh Lê Design of experiment 11 Exercise  How about your context ? Tâm Minh Lê Design of experiment 12 Analyzing the data Price effect 370 450 490 570  At low level of Dimmer factor: 370 − 490 = −120 Price + ‒ ‒ Tâm Minh Lê Dimmer + Design of experiment 36 Analyzing the data Price effect 370 450 Price + ‒ 490 ‒ Tâm Minh Lê  At low level of Dimmer factor: 370 − 490 = −120 $  At high level of Dimmer factor: 450 − 570 = −120 $ 570 Dimmer + Design of experiment 37 Analyzing the data Price effect 370 450 Price + ‒ 490 ‒ Tâm Minh Lê 570 Dimmer +  At low level of Dimmer factor: 370 − 490 = −120 $  At high level of Dimmer factor: 450 − 570 = −120 $  Average Pricing effect decreases Profit by : 120+120 = 120 $ Design of experiment 38 Summary 370 450 Dimmer effect:  + 80$ profit for 25% increases on the dimmer setting Price + Price effect:  – 120$ profit for a 70 cents increases in the price ‒ ‒ Tâm Minh Lê Dimmer + Design of experiment 39 Discussion  What if one day we have a bad weather ?  What if we re-run the experiment, will we have the same results ? Tâm Minh Lê Design of experiment 40 1.04 DICUSSION ON OFAT Tâm Minh Lê Design of experiment 41 Context – Profit of a selling store  Outcome: profit of every Monday in a selling store  Objective: maximize the profit ()  Factors  Factor A – the amount of light (dimmer): 50% or 75%  Factor B – the price: 7.79 c or 8.49 c Tâm Minh Lê Design of experiment 42 Light effect 370 ‒ At keeping Price factor at low level: 570 − 490 = 80  At keeping Price factor at high level: 450 − 370 = 80 450 Price +  Price effect (Effect of factor B) 490 ‒ Tâm Minh Lê  At keeping Dimmer factor at low level: 370 − 490 = −120 $  At keeping Dimmer factor at high level: 450 − 570 = −120 $ 570 Dimmer + Design of experiment 43 Light effect (Effect of factor A) ‒ Price (–): ❶ & ❷  Price (+) : ❸ & ❹ 370 450 Price +  Price effect (Effect of factor B) 490 Tâm Minh Lê Dimmer (–): ❶ & ❸  Dimmer (+): ❷ & ❹ 570 ‒  Dimmer + Design of experiment 44 (OFAT) Light effect 370  Price (–) : ❶ & ❷  Price (+) Price + Price effect  Dimmer (–): ❶ & ❸ ‒ 490 570 ‒ Tâm Minh Lê Dimmer  Dimmer (+) + Design of experiment 45 Think about your own experiments  pop corn  pan cake  black garlic  etc Tâm Minh Lê Design of experiment 46 Group working Tâm Minh Lê  Summarize your today lesson and  Do the following exercises Design of experiment 47 Exercise Tâm Minh Lê Design of experiment 48 Exercise Tâm Minh Lê Design of experiment 49 Exercise To investigate this Rishat has considered the following two factors: S = Quantity of sugar in vase water, low level was g/ml, and high level was g/ml  V = Quantity of vodka in vase water: low level was g/ml, and high level was g/ml  Tâm Minh Lê Exp number Design of experiment S V 3 0 3 y = Life of flowers (Days) 12 13 50 ... of information Tâm Minh Lê Design of experiment 11 Exercise  How about your context ? Tâm Minh Lê Design of experiment 12 1. 02 Terminology Tâm Minh Lê Design of experiment 13 Outcome = Response.. .1. 01 Introduction Tâm Minh Lê Design of experiment When was the last time you ran an experiment ? Tâm Minh Lê Design of experiment What is “Running experiment” ?  We it all the time Tâm Minh. .. the same objective Tâm Minh Lê Design of experiment outcome 16 Example  What are the outcome(s), factors and objective in this experiment ? Tâm Minh Lê Design of experiment 17 Outcomes  Various