Optimization Essays

Optimization is a scientific approach to solve for the best solution for a problem. Its applications emerge in many different areas is real-life. For instance, you need to minimize the labor cost in a business or to maximize the profit of a product. On the other hand, in an airline company, you need to minimize the flight time of a plane or the fuel cost. In basic words, in an optimization issue, you need to either minimize or maximize the result (the objective or cost function). Of course, you can't

Mathematics is a discipline whose basic ingredients are numbers, shapes, and algebraic relationships. Logical reasoning is used to study the properties of these objects and develop connections between them. The results can be used to understand and analyze a vast array of phenomena arising in all of the sciences, engineering and everyday life. For this reason, mathematics is often called the "language of science.” We support mathematics achievement for all learners by providing guidance and technical

Question 1 i) Unknowns x = number of lamps L1 y = number of lamps L2 ii) Function f(x, y) = 15x + 10y iii) Conversion of time from minutes to hours 20 min = 1/3 h 30 min = 1/2 h 10 min = 1/6 h L1 L2 Time(h) Manual 1/3 1/2 100 Machine 1/3 1/6 80 iv) Constraints as a system of inequalities 1/3x + 1/2y ≤ 100 1/3x + 1/6y ≤ 80 x ≥ 0 y ≥ 0 v) Solutions that graphically represent the constraints As x ≥ 0 and y ≥ 0, it lies on the first quadrant 1/3 x + 1/2 y ≤ 100 1/3 • 0 + 1/2 • 0 ≤ 100

Note that in the above equations, the $R_{sp}(b_j)$, $\forall b_j \in B$, $RB^M(u_i)$, $\forall u_i \in U$, and $RB^S(u_i)$, $\forall u_i \in U$, are unknown variables. The objective function of the above formulation is to maximize the estimated total amount of data, i.e., to maximize the network throughput. The constraint C1 restricts the split data rate $R_{sp}(b_j)$, $\forall b_j \in B^C$, should be less than $b_j$'s input data rate $R_{in}(b_j)$. The C2 demands that the $D^M_p(u_i)$ cannot be

ABSTRACT : The methodology for the analysis of capacity at unsignalized intersections has been established where identical traffic conditions are depending upon the present traffic scenario. There are several attempts made to develop different approaches for the analysis of unsignalized intersections under Mixed, Major and Minor traffic conditions. Conflict technique is a recent development, which is based on practically simplified concept, considering interaction and impact between flows at

where $x_i,i=1,2, cdots ,n$ are the states, $underline{x}_i=[x_1,cdots,x_i]^{T} in{R}^i$, $i=1,2, cdots ,n $, $uin {R}$ is the input, and $f_i(cdot)$,$i=1,2, cdots ,n $ are the unknown smooth nonlinear functions which satisfy the global Lipschitz condition. It is assumed that the output $y(cdot)$ is sampled at instants $t_k,k=1,2, cdots ,n$, which represent the sampling instants. $T=t_{k+1}-t_k$ is the sampling interval which is a positive constant. The output signal is available for the observer

Value Chain Analysis The value chain analysis identifies how ECCO can gain competitive advantage and create value in the company by separating the business system into a series of value-generating activities (NetMBA.com). ECCO is one of the world’s leading shoe manufacturers controlling 80% (Nielsen, Pedersen, & Pyndt 2008) of its entire supply chain and is considered to be a fully integrated vertical value chain. In ECCO’s case, this gives them the opportunity to manage all their production and

NOT function is a logical function in Excel. It returns the opposite value of a given logical value in the formula. This function helps to check that one value is equal to another value or not. If we put TRUE in this function it returns False, it we put False then it returns True. We can use either TRUE or FLASE value in this function at a time. Not function can be used to check if the certain condition is met or not. Formula and Explanation There is only one parameter in the NOT function that is

When I “Think Win-Win” in the workplace I think about the Value Optimization System (VOS). As a nurse with Mountain States Health Alliance, I have had the opportunity to work with VOS program on several occasions. This system is a way to solve problems and develop solutions that everyone can live with. Covey (2005) states, Win/Win means that agreements or solutions are mutually beneficial, mutually satisfying. With a Win/Win solution, all parties feel good about the decision and feel committed to

Search engine optimization services may be one of the very Best SEO Company in Australia marketing strategies that's mostly using today for growing rank of the website. Varied Search engine optimization is the greatest local internet search marketing firm that's available that will help you. There are various SEO Company au having a strong history of achievements. Search engine optimization services may be one of the very Best SEO Company in Australia marketing strategies that's mostly using today

Search engine optimization is at the forefront of online marketing. In order to improve a website's Google ranking, it is vital to implement both organic and paid strategies. Search engines regularly tweak their algorithms which makes it difficult for marketers to follow a certain path. However, there are some fundamental strategies that help build a strong SEO foundation for every digital business. Here are top 7 organic SEO tips for small businesses. Keyword list - Having a well-defined keyword

powered by deep machine learning. It gets its behavior modified with the environment and the lessons, it learns on the way with the gathered data. The artificial intelligence along with Google Cloud machine learning services is going to change SEO optimization process in 2018. It will go along with RankBrain as it continues to gain confidence and power. This will affect the ranking scale. Google is by far the best provider of search results than any other search engine, although, it has been constantly

Responsive Design Regardless of your website's goals or the audience that you are serving, your website will assuredly benefit from incorporating a web design that works across different screen sizes and on various devices. Not all websites are the same. Many websites serve very different purposes and therefore require various features to be added that are crucial to their success. For example, a website that sells products might need some sort of inventory control feature to make sure that the

Online Web Directories A Look in the Past of Web Directories Online directories, whether offering globally or locally based business listing, have been one of the important part of website marketing campaigns since the birth of search engine optimization and other internet marketing methods. However, due to the abuse of website owners to get as many backlinks from web directories as they could, search engines like Google has limited the weight of such links. This did not discourage website optimizers

Search engine optimization is the marketing practice of placing industry relevant keywords in the content on your website pages. When your target market audience uses these same keywords in a search engine, your website appears towards the top of the search results page. It is a beneficial, inexpensive marketing practice for many businesses. There is another emerging type of SEO practice and that is local SEO that helps increase your brand awareness within your local geographical area. Here are the

The most coveted goal for AdWords advertisers is clicks. Because clicks mean traffic and the more traffic you generate the higher your chance of converting this traffic into shoppers. However, before you can optimize for clicks, you first need search volume; to be awaring on those SERP pages. The issue is: if you’re a niche store, the chances of you having to deal with keywords that yield lower traffic is much higher. This is because the more niche your store is or the more unique your product

your web pages will be found on the search result pages when a search is made on Google using your choice of keyword. It's important you are familiar with the Google ranking factors to ensure your web pages are in accordance with the Google's best optimization practices. It can be time consuming and stressful optimizing your page with the over 200 Google's ranking factors so the below list are among the most important factors to get you started. You can improve the performance of your page using these

To many websites, webmasters discover that major sources of website traffic come from search engines. Therefore, they are all keen on gaining top search engine placements through search engine optimization. Based on our several years of SEO experience, we point out some common mistakes and shed some lights to correct it. 1. Cannot Get Indexed by Search Engines, Really? A garment ERP software solution provider came to me and asked a question: "I have established a new website for 1 year, and found

Landing Page Best Practices for Financial Services Landing pages for financial services are an efficient and effective way of providing value to visitors in exchange for their information. Once integrated with other digital marketing strategies, they give you the ability to increase conversion rates and funnel efficiency. Here’s how you can optimize your landing page to convert more than the average two percent: Understand Your Visitor’s Frame of Mind. As a financial services marketer, you want

Graph coloring has been one of the most popular areas of graph theory and is a topic that relates to a variety of real-life examples. The origin of graph coloring can be traced back to the famous \textit{Four Color Problem},~\cite{gary08} posed more than 150 years ago, relating to the coloring of maps. It all started in the year 1952 when a British mathematician named Francis Guthrie, while coloring the countries of a map of England, observed that he could color them with four colors, and later