Distribution of weekly working hours of truck drivers in urban logistics

The work deals with the transportation of cargo in small batches in an urban environment. It was found that the weekly workload of truck drivers is not always evenly distributed. This is a prerequisite for dissatisfaction among them, as well as a reason for making mistakes or the occurrence of health problems. A partial integer nonlinear mathematical model is proposed to solve the problem. The solution of the task allows the difference between the driver who has worked the longest and the one who has worked the least to be minimal and the workload of the drivers even. We offer two possible solutions of this task (the example is based on a real situation from practice). In the first case it is the rotation principle, when three interchangeable workers working three days on three different activities. In the second case, seven workers performing six activities in one week, it is precisely determined which worker must perform activities. As a result of the calculations, the option, where the difference between the minimum and maximum time is 1.7 hours for the five working days, because it varies from 33.7 hours to 35.4 hours. In this variant, the rotation principle can also be applied in order for workers to be loaded equally. These options do not exclude the search for other solutions satisfying the problem.