It is said that the Dynamic Programming based solution to Knapsack problem always gives the optimal solution. How far do you agree? Justify.

Both the Principle of Optimality (Optimal Substructure) and Insufficient Overlapping Subproblems are valid inputs for dynamic programming. To see how difficult it is to meet these two criteria, consider the case of All-Pairs Shortest Paths.

Hi , is it possible for someone to insert in this genetic algorithm in matlab equations, values, equations of constraints and values ​​in order to be able to have a code that can adapt to mine please? King regards % Define decision variables, objectives, and constraintsnvars = 5; % number of decision variablesnobj = 8; % number of objectivesncon = 20; % number of constraints % Set up genetic algorithm optionsoptions = optimoptions('ga', ...    'PopulationSize', 100, ...    'MaxGenerations', 100, ...    'MutationFcn', {@mutationuniform, 0.05}, ...    'CrossoverFcn', @crossoverarithmetic); % Define objective and constraint evaluation functionsobjfun = @(x) [obj1(x), obj2(x), obj3(x), obj4(x), -obj5(x), -obj6(x), -obj7(x), -obj8(x)];confun = @(x) deal(con1(x), con2(x), ..., con20(x)); % Run genetic algorithm[x, fval, exitflag, output, population, scores] = ga(objfun, nvars, [], [], [], [], [], [], confun, options); % Plot Pareto frontpareto(fval(:,1:nobj/2),…

It clarifies dynamic programming optimality?

A school is creating class schedules for its students. The students submit their requested courses and then a program will be designed to find the optimal schedule for all students. The school has determined that finding the absolute best schedule cannot be solved in a reasonable time. Instead they have decided to use a simpler algorithm that produces a good but non-optimal schedule in a more reasonable amount of time. Which principle does this decision best demonstrate?

Describe each of the four layers of the TCP/IP abstraction stack.

How does duality help in the study of convex optimization problems?

Classes are scheduled at a school. Once students have submitted their course requests, a computer algorithm can determine the optimal schedule for everyone.   The school has concluded that it will take too long to determine the best schedule. Instead, they resort to a less sophisticated method that produces a serviceable if not ideal timetable.   Which guiding concept is represented here?