A computer service company needs to establish communications between five cities. An analysis of various media...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A computer service company needs to establish communications between five cities. An analysis of various media has determined that the monthly cost of connecting a pair of cities i and / with a link is c as shown in the accompanying matrix. The connection allows communications in both directions. There is a cost of establishing interconnection facilities at each city that depends on the number of links incident to the city. Note that these are node costs rather than are costs. • If one link touches the city the cost is d. . The second link touching the city adds the cost d . The third link touching the city adds the cost d.. These costs are related as: d₁>d;> d. Formulate a 0-1 integer linear programming model that incorporates the following information. (i) The objective is to minimize monthly cost. (ii) Each city must be touched by at least one connection. (iii) The links selected must form a tree. (iv) No more than three links can touch a city. (v) d.-5, d. 3, d=1 Hint: A variable must be defined for each potential link between city pairs. The constraints will assure that at least one link touches each city. Variables must be included for the second and third link *) If you solve the problem after formulating it, you will receive 5 extra credits. A computer service company needs to establish communications between five cities. An analysis of various media has determined that the monthly cost of connecting a pair of cities i and / with a link is c as shown in the accompanying matrix. The connection allows communications in both directions. There is a cost of establishing interconnection facilities at each city that depends on the number of links incident to the city. Note that these are node costs rather than are costs. • If one link touches the city the cost is d. . The second link touching the city adds the cost d . The third link touching the city adds the cost d.. These costs are related as: d₁>d;> d. Formulate a 0-1 integer linear programming model that incorporates the following information. (i) The objective is to minimize monthly cost. (ii) Each city must be touched by at least one connection. (iii) The links selected must form a tree. (iv) No more than three links can touch a city. (v) d.-5, d. 3, d=1 Hint: A variable must be defined for each potential link between city pairs. The constraints will assure that at least one link touches each city. Variables must be included for the second and third link *) If you solve the problem after formulating it, you will receive 5 extra credits.
Expert Answer:
Answer rating: 100% (QA)
To formulate the 01 integer linear programming model for establishing communi... View the full answer
Related Book For
Statistics Principles and Methods
ISBN: 978-0470904114
7th edition
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
Posted Date:
Students also viewed these accounting questions
-
A store manager has determined that the monthly profit y realized from selling a particular brand of car battery is given by y = l0x - 155 where x denotes the number of these batteries sold in a...
-
A store manager has determined that the monthly profit y realized from selling a particular brand of car battery is given by y = 12x - 75 where x denotes the number of these batteries sold in a...
-
An electronic manufacturing company has determined that the monthly cost of producing x units of its newest stereo is C(x) = 2500 10x , and the monthly demand equation for this cost function is p =...
-
Find the eccentricity of the hyperbola. Then find and graph the hyperbolas foci and directrices. x 2 - y 2 = 1
-
What is the quantity of pesticide produced if no one owns the lake and what is the efficient quantity of pesticide? When factories produce pesticide, they also create waste, which they dump into a...
-
Describe the process of declaring and paying a cash dividend, including information about the declaration date, date of record, and payment date. Discuss.
-
What is DT&E?
-
1. How would you classify L.L.Bean in terms of competitive position? Why? 2. Is L.L.Bean a market-centered company? Support your answer. 3. Evaluate L.L.Bean according to Treacy and Wiersema's value...
-
Discuss the influence of civil religion in the United States on Americans' concept of morality. Use specific examples (such as symbols, holidays (holy days), documents) to support your answer. Please...
-
Convert 1250 millimeters to meters.
-
Write a paper on Social Institutions in Homelessness and discuss these two steps: Step One What role does politics and the economy play in your social problem? Step Two Review the key pieces from the...
-
Comment on the importance of value creation product strategies for transactional, consultative, and strategic alliance buyers.
-
Who are the primary users of financial accounting information?
-
What are the four steps in the cost allocation process?
-
What is the most important effect of labor productivity in a cost-push inflation scenario? A. Rising productivity indicates a strong economy and a bias toward inflation. B. The productivity level...
-
From a series of verbal and nonverbal clues, you recognize that your sales presentation has gone really well. You know you can utilize a number of confident closing techniques to close the sale....
-
D Inc.'s income for the current year consists of interest income of $6,000, a taxable capital gain of $20,000 and a business loss of $30,000. D Inc. has net capital losses of $25,000 incurred two...
-
Imagine you are the HR manager at a company, and a female employee came to you upset because she felt a male coworker was creating a hostile work environment by repeatedly asking her out on dates...
-
Refer to Example 6 and the data on hours of sleep. (a) Obtain the five-number summary: minimum, Ql Q2' Q3, and maximum. (b) Make a boxplot of the hours of sleep.
-
For samples collected concerning the following pairs of variables, decide whether you should make a scatter plot or create a contingency table. (a) The amount earned and the number of weeks worked...
-
The following predicted values and residuals are obtained in an experiment conducted to determine the degree to which the yield of an important chemical in the manufacture of penicillin is dependent...
-
Determine the fundamental frequency of a uniform fixed-fixed beam carrying a mass \(M\) at the middle by applying Rayleigh's method. Use the static deflection curve for \(W(x)\).
-
Applying Rayleigh's method, determine the fundamental frequency of a cantilever beam (fixed at \(x=l\) ) whose cross-sectional area \(A(x)\) and moment of inertia \(I(x)\) vary as \(A(x)=A_{0} x /...
-
Using Rayleigh's method, estimate the fundamental frequency for the lateral vibration of a uniform beam fixed at both the ends. Assume the deflection curve to be \[W(x)=c_{1}\left(1-\cos \frac{2 \pi...
Study smarter with the SolutionInn App