2024 Volume 80 Issue 5 Article ID: 23-00244
This paper provides an efficient solution approach to the screen-line counter location problem (SCLP), which is a counter location problem with the constraint that the traffic between OD pairs must be observed at least once. This paper formulates the SCLP using a graph cut approach that consists of an enumeration of cuts and a cut selection problem. This paper shows that these problems can be reduced to a concise formulation that extends the maximum weight closure problem for two problems: finding the minimum number of links that observe all OD pairs and finding the maximum number of observed OD pairs with a budget-constrained number of links. Insights into the characteristics of cuts give superior upper bounds on the problem of finding the minimum number of links that observe all OD pairs. The proposed method is evaluated on the Sioux-Falls network. It shows that it is possible to derive a solution equivalent to the optimal solution found in previous studies in a very short computation time.
