According to Joe Malkevitch of York College and the American Mathematical Society, the traveling salesman problem can be solved using algorithms. However, attempts to find a simple algorithm to answer the traveling salesman problem have failed.
Know MoreAccording to Joe Malkevitch, the traveling salesman problem involves a hypothetical salesman starting from his home, making his rounds to sell his goods and then returning home. The problem for the salesman is to take the route that costs the least, called the minimal cost tour or the optimal tour. The traveling salesman problem appeared in mathematics as early as 1832, when it was referenced as a practical problem in a German book. Karl Menger is credited with popularizing the problem in the European mathematical community in the 1920s, and Merrill Flood popularized it in the United States. Flood also introduced the problem to the Rand Corporation, which was involved in operations research; the Rand Corporation attempted to solve the problem with operations research.
The traveling salesman problem is relevant to modern business, according to Malkevitch. Just like a salesman trying to find the optimal route to take, companies attempt to find the cheapest and easiest routes by which to sell their products. A company that manufactures computer chips could save money using an optimal route.
Learn more about Data GraphsA hyperbola grapher is an online resource or calculator that graphs the hyperbola from the given function. Online hyperbola graphers allow students to enter the values of x, y, a and b to generate the graph. Students do not have to graph the hyperbola themselves.
Full Answer >To find the mean, range and mode on a bar graph, analyze both the x- and y-axis. The mode on a bar graph is the value that has the highest bar while the range refers to the difference between the highest and lowest value on the x-axis. The mean can be calculated by multiplying each x-value by its quantity, summing all the results and dividing by the total quantity.
Full Answer >Use the titles of the vertical and horizontal axes of a line graph to understand the plotted points on it. The horizontal axis reflects an independent variable, such as time elapsed or occurrences of an event, while the vertical axis reflects the effect of that variable on a different factor.
Full Answer >A segmented bar graph is similar to regular bar graph except the bars are made of different segments that are represented visually through colored sections. A segmented bar graph is sometimes known as a stacked bar graph, and it offers greater detail about data sets.
Full Answer >