The berth-allocation problem (BAP) aims to optimally schedule and assign vessels to berthing areas along a quay. The vessels arrive at the port over a period of time and normally request service and departure within a time window. These time windows are usually determined through contractual agreements between the port operator and the carrier, in terms of time of departure after the vessel’s a...

Abstract The bubble–bubble interaction and bubble–needle are usually caused by liquid flow in the needle or needle’s neighborhood. Moreover, nonlinear changes liquid’s velocity pressure can lead to chaotic bubble departures. In present paper, neighborhood were experimentally numerically investigated. experiment, bubbles generated from a brass into distilled water. A second was placed at distanc...