Cooperative and gradual covering are two new methods for developing covering location models. In this paper, a cooperative maximal covering location–allocation model is developed (CMCLAP). In addition, both cooperative and gradual covering concepts are applied to the maximal covering location simultaneously (CGMCLP). Then, we develop an integrated form of a cooperative gradual maximal covering ...

For a convex body C in R, what is the smallest number f = fd(C) such that any sequence of smaller homothetic copies of C whose total volume is at least f times the volume of C permits a translative covering of C? László Fejes Tóth conjectured in 1984 that f2(C) ≤ 3 for any convex body C in the plane. This conjecture has been only confirmed for parallelograms and triangles: Moon and Moser had sh...