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SYSE 515 6.3 Addressing Complexity

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There are many things that I learned this week and I would like to use this opportunity to review the simplex method (maximization with problem constraints) that I studied with an example question.  There can be several methods to solve these kind of questions including the traditional ways of solving the problems by hand with equations and graphs. I find this way is also quite useful when approaching the problem. I have attached my note that I made while I was studying the problem and solution. Studying the question with the handwritten solution greatly helped me to understand the concept of the simplex method. Question Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; Component B requires 3 hours of fabrication and 1 hour of assembly; and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 1000 labor-hours for fabrication and 800 labor hours of as...

SYSE 515 4.3 Statistics in Action

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 The past 2 modules were full of essential factors that are necessary in statistics. I would like to take my blog post today as an opportunity to review some of these essential factors. Bernoulli trial The Bernoulli trial is also called the binomial distribution function and it is used to analyse discrete random variables. The basic assumptions of the Bernoulli trial are that: (1) each trial has only two outcomes, either occurrecne or nonoccurrence. (2) the probability of occurrence of any one trial is p, which is the same for all trials. (3) the trials are statistically independent. One of the easy examples is flipping coins. For the example, since the success rate and non success rate are 0.5 and it meets all the conditions that is listed above, the Bernoulli trial can be applied here. However, in a case where there are human drug trials, some may assume that Bernoulli trials can be applied because on the surface it sounds like a binary problem with success or failure as the two ...