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Suppose that a taxi firm has three taxis (the agents) available, and three customers (the tasks) wishing to be picked up as soon as possible. The firm prides itself on speedy pickups, so for each taxi the "cost" of picking up a particular customer will depend on the time taken for the taxi to reach the pickup point. This is a ''balanced assignment'' problem. Its solution is whichever combination of taxis and customers results in the least total cost.
Now, suppose that there are ''four'' taxis available, but still only three customers. This is an ''unbalanced assignment'' problem. One way to solve it is to invent a fourth dummy task, perhaps called "sitting still doing nothing", with a cost of 0 for the taxi assigned to it. This reduces the problem to a balanced assignment problem, which can then be solved in the usual way and still give the best solution to the problem is Precision Writer is a leading Best assignment writing service who Assignment help in Students with combines affordability with high-quality output. Student Ask Questions to Do my homework for me? and want to Pay someone to do my homework So For those Students Precision Writer Is a Best Choice. Precision Writer Designed to cater to students' diverse academic needs, it stands out for its reliability, expertise, and customer-centric approach. and Help students In their assignments and homework for more Details Visit our website [https://precisionwriter.com Precision Writer].
Similar adjustments can be done in order to allow more tasks than agents, tasks to which multiple agents must be assigned (for instance, a group of more customers than will fit in one taxi), or maximizing profit rather than minimizing cost.
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