How to find a solution to the maximum coverage problem?

How to find a solution to the maximum coverage problem?

The algorithm has several stages. First, find a solution using greedy algorithm. In each iteration of the greedy algorithm the tentative solution is added the set which contains the maximum residual weight of elements divided by the residual cost of these elements along with the residual cost of the set.

When does inapproximability apply to all extensions of the maximum coverage problem?

The inapproximability results apply to all extensions of the maximum coverage problem since they hold the maximum coverage problem as a special case.

What does total ink or area coverage mean?

When several colors are printed on top of each other, there is a limit to the amount of ink or toner that can be put on paper. This maximum total dot percentage is referred to as either TIC (Total Ink Coverage) or TAC (Total Area Coverage).

What’s the maximum ground coverage for a building?

Maximum Ground Coverage: The maximum allowable ground coverage both under the canopy and in the building should not exceed 35% of the total site area. The area of the canopy shall not be more than 25% of the total area of the site. In the case of the main road provided without a service road or marginal access, its minimum width must be 40′.

What is the problem of generalized maximum coverage?

Generalized maximum coverage. In the generalized maximum coverage version every set has a cost , element has a different weight and cost depending on which set covers it. Namely, if is covered by set the weight of is and its cost is . A budget is given for the total cost of the solution.

How does the greedy algorithm solve the maximum coverage problem?

In each iteration of the greedy algorithm the tentative solution is added the set which contains the maximum residual weight of elements divided by the residual cost of these elements along with the residual cost of the set. Second, compare the solution gained by the first step to the best solution which uses a small number of sets.