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Delivery synchronization, fuzzy sets

The paper assumes that the distribution of possible delivery dates for construction materials and the preferred dates for their receipt at the construction site are modeled by fuzzy numbers. An analytical method for assessing the synchronization of deliveries and the demand for construction materials using the concept of α-cuts of a fuzzy number is presented. The application of the method is illustrated with a numerical example. In the execution of construction works, the timeliness of the delivery of a specific construction material for a given task is of great importance. To this end, schedules for the consumption and delivery of individual materials are prepared, forming the basis for the temporal synchronization of deliveries and demand. The recipient expects that the actual delivery date will occur no later than the date resulting from this schedule. Material delivered before the demand date can be stored at the construction site until the planned time of use. However, the conditions for implementing construction projects are not fully predictable. Every construction site is largely a project with unique and uncertain implementation conditions. This can cause a discrepancy between the planned and actual date of demand for material to perform a given task. In this situation, it is easier for construction contractors to indicate the distribution of possible dates for the occurrence of demand for a given material than to indicate a specific date for such demand. In turn, the timeliness of construction material deliveries is influenced by various factors, unique to a given construction site. These factors include: the specificity of the technical parameters of the ordered materials, the size of the order, the transport distance, and requirements regarding transport conditions and methods. These factors mean that even an experienced supplier is only able to determine an approximate delivery date for the needs of a specific construction site. (…)

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Source: Logistyka Magazine

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