Some other policies for fairness in congestion control are: Addit Additive Decrease (AIAD), Multiplicative Increase Additive Decrease (MIAD), and Multiplicative Increase Multiplicative Decrease (MIMD. Discuss these thre policies in terms of convergence and stability.
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- How exactly would I be able to paraphrase this pseudo-code so that it can make a bit more sense? 1.Initialtzation: generate a random solution X ← RandomSolution() 2. Solve the traffic assignment problem at equilibrium for each link: (flow, cost) ← NonLinearComplementary(X) 3. Evaluate the objective value for the current solution: f (X) ← EvaluateObj Val (f low, cost) 4. T ← Tmax 5 while (T > Tmin) do 6 I ← 1 7 while (t < ltermax)do 8 X' ← FindNeighborSolution(X) 9 (flow,cost) ← NonLinearComplementary(X') 10 f(X') ← EvaluateObf Val (f low, Cost) 11 Δ ←(f(x) - f(x')) 12 if(Δ<0)then 13 BoltzmannValue ← exp(-Δ/T) 14 if (BoltzmannValue < Random (0,1)) then 15 Accept the new solution: X ← X' 16 end If 17 Else I8 Accept the new solution: X ← X' 19 end if 20 i ← i+1 21 end while 22 T ←T ∞ 23 end while ________c) In a call center with call queueing the number of operators is 60, and the applied traffic intensity is 58E, and the mean service time for customer is 6 mins. i) Use the Heavy Traffic formulas to estimate the probability that any customer has to wait. ii) How can we act to reduce the probability that any customer has to wait? What are the advantages and disadvantages of taking this action?Given a graph G (N, A) on which each arc (i, j) E A has an associated value rij, which is a real number in the range of 0 ≤ rij ≤ 1 that represents the reliability of a communication channel from node i to node j. We interpret rij as the probability that the channel from node i to node j will not fail, and we assume that these probabilities are independent. Please formulate this problem as a shortest path problem and solve it using the Dijkstra's algorithm. 1 0.8 0.8 2 3 نیا 0.5 0.6 1 0.8 0.9 5 0.9 0.7
- Consider the following snapshot of a system: Allocation Маx Available Process ABCD АВСD АВСD 2001 4212 332 1 PO P1 3121 5252 P2 2103 2316 P3 1312 1424 P4 1432 3665 Answer the following questions using the banker's algorithm: 1. How many instances of resources are present in the system under each type of a resource? 2. What is the content of the matrix Need? و ترغعب في أن يظهر منا.1 lingعمهاطل تخنسم اشرما مبريافحضلا نمر بياليا انتسي 3. Is the system in a safe state? (explain your answer) 4. If a request from process P1 arrives for (1,1,0,0), can the request be granted immediately? (explain your answer)Please answer the following question in detail and explain all the proofs and assumptions for all parts. The question has three parts, (a), (b) and (c). Iterative lengthening search is an iterative analogue of uniform-cost search. The basic idea is to use increasing limits on path cost. If a node is generated whose path cost exceeds the current limit, it is immediately discarded. For each new iteration, the limit is set to the lowest path cost of any node discarded in the previous iteration. (a) Show that this algorithm is optimal for general path costs. You may assume that all costs are integers (this is not a loss of generality if the search space is finite). You may wish to consider the minimal path cost C; what happens when we set the path cost to be some limit l < C? (b) Consider a uniform tree with branching factor b, solution depth d, and unit step costs (each action costs one unit). How many iterations will iterative lengthening require? (c) (7 points) Now consider the…Given a graph G (N, A) on which each arc (i, j) € A has an associated value rij, which is a real number in the range of 0 ≤ y ≤ 1 that represents the reliability of a communication channel from node i to node j. We interpret rij as the probability that the channel from node i to node j will not fail, and we assume that these probabilities are independent. Please formulate this problem as a shortest path problem and solve it using the Dijkstra's algorithm. 0.8 0.8 0.5 0.6 0.8 0.9 0.9 0.7
- Considering Dijkstra's Algorithm (for Single Source Shortest Path (using only one attribute as "path weight") as discussed in class: 1. How would you modify the dynamic programing table structure to capture: a. Multiple-Source/Multiple-Target Shortest Path?Let a network be given by nodes V = {S, A, B,C, D,T} and arcs, capacities e and a flow f according to the table: SA SC AB Bт АC DC BD DT AT CT 3 ? 4 1 1 ? 3 4 3 5 ? 3 9. 3 5 1 1 (a) Complete f and e such that f is an admissible flow from S to T. Justify your answer. What is the value of the flow?Consider an network trained with n patterns for me epochs. (a) What is the space complexity in this problem? (Consider both the storage of network parameters as well as the storage of patterns, but not the program itself.) (b) Suppose the network is trained in stochastic mode. What is the time complexity? Since this is dominated by the number of multiply-accumulations, use this as a measure of the time complexity. (c) Suppose the network is trained in batch mode. What is the time complexity?
- Assume the problem given below. In an apartment the there are 12 gates for parking and 3 users use one gate in common and there are 26 users. In present scenario there are 2 gate keepers open the gate for the car entry and exit. There is need to automate this process to eliminate the need for gate keepers. Analyse the problem and give a solution. Illustrate your solution using a schematic. Who are all the stake holders in this and how do you convince all stake holders. Discuss on components required, cost and technological challenges.In the diagram attached, a flow network has been depicted. Perform the following tasks using the Push Re-label Algorithm: - Optimize the maximum flow between S1 to t2 S2 to t1 S1 & S2 to t2 S1 & S2 to t1 Evaluate your final results for any shortcomings, and propose changes to solve them. 12 14 34 33 16 18 30 Note: Please assign the values (individual digits - one digit per edge) from your mobile number (0967910053) to the unmarked edges. 10 unmarked edges will be given with 10 digits in your mobile number and any 'O digit should be replaced with value '10'Let a network be given by nodes V = {S, A, B,C, D,T} and ares, capacities e and a flow f according to the table: SA SC AB вТ АС DC BD DT AT CT 3 4 1 0 3 5 1 1 ? ? 1 3 ? 2 3 4 3 5 9 (a) Complete f and e such that f is an admissible flow from S to T. Justify your answer. What is the value of the flow? (b) Determine a maximal flow from S to T and a minimal cut with its capacity by the augmenting path method starting by the flow f from (a). (c) What is the relation between each admissible flow and each cut? (d) What is the relation between the maximum flow and the minimum cut?