Marco Dorigo developed Ant Colony Optimization (ACO) algorithm and this algorithm is used to solve many case studies. Let's say, you are using ACO to solve Travelling Repairman Problem (TRP). Describe the process on how ACO implemented in TRP case study. State if there are any improvisation you would like to make in ACO to improve the implementation in TRP case study. Following Figure 2 shows the definition of the case study. Also, include which algorithm, PSO or ACO, is better used for solving TRP case study. You may use any illustration/description to describe your solution. Travelling repairman problem (TRP) is a scheduling problem whereby a repairman must visit the scheduled locations to conduct the job needed. Each location has a period/time in which the repairman is allowed to arrive. This is to allow maximum number of repair jobs are successfully performed.

After finding out you are secretly part of the royal family of Genovia, you inherit a 16th-century Genovian castle with an elaborate plumbing system that has accumulated pipes, junctions, and clogs over four centuries. Instead of a diagram, you are given a list of pipes and their capacities leading from the water source to your bathroom Pipes S,2 S,4 2,3 2,5 4,2 4,5 3,5 3,6 5,6 5,7 6,7 6,T 7,T Capacity 4 7 6 2 4 3 6 2 5 4 1 9 4 You'd like to know if it is safe to install a modern shower, or if this will eventually overflow the historic bathtub. Use the Ford Fulkerson algorithm to determine the max flow of this flow network/graph. Please draw your final residual graph and write the calculated max flow.

What does the pseudocode for this algorithm in the image attached mean in plain English? (Algorithm 2 — the image attached came from a Computer Science whitepaper with keywords: [Exact] Dynamic Programming, Optimal Decision Trees, Reinforcement Learning, Artificial Intelligence, Interpretability). Please explain with either Python Java code if possible (or any programming language). Also, where can I find a reference that explains all the notation used in this pseudocode found in the image? I see this type of notation frequently but can’t find a key or a reference that explains what type of symbols these all are (except for a few of them which I know to be math symbols). Much of this notation I can’t find a reference to explain what it means anywhere, please advise and thanks in advance.

Need a implementation plan for this : Our aim is to take increase toy paratrooper flight time with the parachutes provided and find suitable alternatives to reduce its descent through the most feasible means. The justification for increased flight time being if we were to take these model paratroopers to represent actual paratroopers' lower descent speeds will provide safer landings and more maneuverable descents. We learned through observation that our paratrooper's initial descent is practically freefall and extremely erratic which gives us our main point of optimization. Our only variables which we can alter are wind resistance provided by said parachute, elevation, conditions(temperature) within a margin, and weight. We will make alterations where it is possible to reach our goal of a practical lower descent speed and thereby an increase in descent time and more stable, safe flight for our toy paratroopers.

Why do we prefer using dynamic programming in certain scenarios? To support your assertion, provide evidence.

Please explain Why do computer scientists typically rely on ’worse-case’ analysis? Group of answer choices a. It allows us to be more conservative and when using the upper-bounds in terms of time complexity. This is a 'safer' way for us to determine if the performance is fast enough. b. No other analysis exist or have been invented yet. c. Most of the famous computer scientists use worse-case analysis, so every one just copies what they have done previously.