Astronomy: star mapping, math, Marketing Management

Assignment Help:
Two nights ago, an astronomer took a picture of a small portion of the sky containing 10,000
stars. Last night, the astronomer took a picture of the same portion of sky (containing the same
10,000 stars). The stars have all moved, and by measuring the distance they have moved the
astronomer can estimate their speed.
Unfortunately, it’s not quite that easy. Because the astronomer does not know the speed (or
direction of motion) of the stars beforehand, all she sees are two pictures with 10,000 dots on
them. There is no way for her to be sure which dot in the second picture is the same star as a
certain dot in the first picture!
Although the astronomer can’t be sure which dot is which, she can make some educated
guesses. Based on the size and brightness of each dot, she can estimate the probability pij that
star i in the first picture is the same as star j in the second picture. (Assume that all
probabilities are independent.) Using these probabilities, she would like to make her best guess
as to which star is which.
a. Draw this scenario as a network problem.
b. Specify the costs on each arc. (Hint: Remember from your probability classes that the
joint probability is the product of each probability, not the sum. One way to minimize the
product of some numbers is to minimize the sum of their logs.)
c. If it is a special type of network problem, specify what type it is.

Related Discussions:- Astronomy: star mapping, math

Explain about the middlemen consideration, Explain about the Middlemen Cons...

Explain about the Middlemen Consideration If right kind of middlemen having necessary experience, contacts, financial strength and integrity are available, their use is pref

What techniques and devices are included in sales promotion, What technique...

What techniques and devices are included in sales promotion? Techniques or devices used within sales promotion comprises: • Samples, • Quantity Deals, • Premiums, •

Explain the term- fast-moving consumer goods, Explain the term- fast-moving...

Explain the term- fast-moving consumer goods Marketing communications which are undertaken by organisations within these systems can be regarded as a series of communication ep

Factors affecting pricing decisions, Factors affecting pricing decisions: ...

Factors affecting pricing decisions: the pricing decisions are influenced by the many factors. The price policies should be consistent with the pricing objectives. The influence f

Supply and demand framework, The market for labor can be studied use a supp...

The market for labor can be studied use a supply and demand framework.  The demand for labor is from employers who use labor to produce goods and services.  The supply of labor is

Effect on standard of living in aspect of advertising, Q. Effect on Standar...

Q. Effect on Standard of Living in aspect of advertising? Advertising has decrease the cost of distribution, production, promoted competition and thus resulted in price reducti

What points are really matters while doing marketing, What points are reall...

What points are really matters while doing marketing? Whether online or offline, there are only two objects that important: “Buying and Selling”. Fundamentally to simplify, thi

Third barrier of exchange in channels distribution, Explain the working of ...

Explain the working of third barrier of exchange in channels distribution. The third barrier arises through the variation in quantities and assortment demanded. Manufacturers u

Market segmentation, A new technology mobile which get auto charge while us...

A new technology mobile which get auto charge while using.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd