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o Network is the interconnection of devices such that they can communicate one another, The university network is designed to link campus so that they have one Data center( ICT Center).

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math notesLecture 1: Optimization ModelsGoal:- Mathematical modeling. Standard formulation of optimization problems. Feasible set. 1OptimizationThe general procedure to solve a practical problemProblem ?MathematicalModeling variablesobjectiveconstraints?Algorithm:convergence, efficiency?Implementation:Hardware/SoftwareExample 1. Suppose that your friends are coming to visit you from another city and you plan to take them a LA tour during the weekend. How to make this tour plan assuming that your budget is $200 and you are only free for two days, e.g., 20 hours?Solution. We could start to solve this problem by taking the following steps one by one: 1. Collect all information about LA attractions assuming that you found n places. For the ith place of interest, it is known: the average time ti , the ticket price pi , Yelp rating ri , etc. List a table of all possible activities and information regarding each activity. - Set up variables (known or unknown). Choose decision variables: Let xi represent the binary variable indicating whether the ith place is chosen or not.2. Determine the objective and express it in terms of the decision variables, e.g., maximize the quality of this tour, maximize ni=1 ri xi .3. Specify limitations and relationships among variables. Write down all equality/inequality constraints. 4. Rewrite the problem in a standard optimization form:nri ximaximizei=1nsubject toi=1ni=1pi xi ? 200ti xi ? 20

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