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Design And Analysis Of Algorithms Homework Help |

Design And Analysis Of Algorithms Assignment Help

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Q. 1)    A factory uses robots controlled by an embedded system to manufacture goods. Each robot must perform tasks like picking up objects, welding, or painting in a specific order, with each task requiring a known amount of time. Design a scheduling algorithm to ensure that tasks are completed with minimal idle time, adhering to precedence constraints and task deadlines. Discuss how your algorithm handles priority inversion and resource sharing

Q. 2)    • A delivery company operates in a large urban area, delivering packages to numerous locations daily. Using the Traveling Salesman Problem (TSP), create an algorithm to determine the shortest route for each delivery van while accounting for real-time traffic updates and road closures. Discuss how to handle changes in route priorities dynamically.

Q. 3)    Consider a data center where multiple clients upload and download files over shared network connections. Design an online algorithm that allocates bandwidth to ensure fair access while maximizing total throughput. Explain how your algorithm dynamically adjusts bandwidth allocation when new clients join or leave the network.

Q. 4)    A bank processes millions of transactions daily. Create a pattern-matching algorithm that identifies potentially fraudulent transactions based on historical data, ensuring results in real-time. Discuss how your solution balances precision and recall while handling the continuous influx of transaction data.

Q. 5)    • An e-commerce company uses autonomous robots in its warehouse to pick and deliver items. These robots must navigate without collisions and optimize their paths to minimize retrieval time. Design a multi-agent pathfinding algorithm that dynamically updates paths when new tasks are added or obstacles are encountered.

Q. 6)    A streaming service compresses video frames before broadcasting to users. Design an algorithm that ensures high compression rates while maintaining quality and minimizing latency. Discuss the trade-offs in time complexity and quality when working with high-definition, real-time video streams.

Q. 7)    A company wants to implement a dynamic pricing algorithm for its products. Prices should be adjusted in real time based on demand, competitor pricing, and stock levels. The goal is to maximize revenue while ensuring inventory is not overstocked or understocked. Design an algorithm to achieve this, incorporating machine learning techniques for demand prediction and real-time constraints for price updates.

Q. 8)    In a post-disaster scenario, relief supplies need to be distributed to affected regions with varying levels of urgency. Some areas are inaccessible by regular transportation, while others have high population density. Design an algorithm that determines the optimal distribution routes and prioritizes delivery based on the urgency level and population size. Discuss how the algorithm handles incomplete or changing data, such as new road closures or updated region needs.

Q. 9)    Self-driving cars must navigate through a city while avoiding collisions, following traffic rules, and minimizing travel time. Develop a real-time path-planning algorithm that uses a combination of Dijkstra’s or A* for shortest paths and a dynamic collision-avoidance strategy. Discuss the handling of multi-vehicle interactions and changing traffic conditions.

Q. 10)    A financial firm needs an algorithm to analyze real-time stock market data and identify patterns that suggest significant market movements. The algorithm should process streaming data efficiently, detect anomalies, and suggest trading opportunities while adhering to time constraints. Include how it handles noisy or incomplete data.

Q. 11)    Design a friend-recommendation system for a social network platform. The system should identify potential connections based on shared interests, mutual friends, and geographical proximity while ensuring diversity in recommendations. Discuss the use of graph traversal algorithms, such as BFS or DFS, and the efficiency of your approach in large-scale social graphs.

Q. 12)    Smart homes use IoT devices to automate energy consumption. Create a scheduling algorithm for appliances, such as washing machines or air conditioners, to minimize electricity bills while maintaining user comfort. Factor in electricity pricing based on time-of-day tariffs and appliance usage patterns.

Q. 13)    Design an algorithm to synchronize traffic lights across a city to minimize congestion and average travel time. Incorporate real-time traffic data and ensure fairness among vehicles coming from different directions. Discuss how your approach scales with city size and varying traffic patterns.

Q. 14)    8. Sort the list E, X, A, M, P, L, and E in alphabetical order by selection sort. /n11. Sort the list E, X, A, M, P, L, and E in alphabetical order by bubble sort.

Q. 15)    Find the number of comparisons made by the sentinel version of sequential search a. in the worst case. b. in the average case if the probability of a successful search is p (0 ≤ p ≤ 1).

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