A Priori Strategies for the Probabilistic Total Weighted Flowtime on Parallel Identical Machines Problem

An image forming apparatus comprises an image bearing member which is able to carry latent image and a reservoir in which liquid developer is stored. The liquid developer is transferred and adhered to the latent image so that the liquid developer develops the latent image. The liquid developer presents liquid state at least when the liquid developer develops the latent image. The image forming apparatus further comprises a developer retainer (being faced with the image bearing member) having fine holes through which the liquid developer is transferred to the image bearing member, and a developer supplier which supplies the liquid developer from the reservoir to the developer retainer. Each of the fine holes has an exit opening through which the liquid developer moves out of the fine hole and moves to the image bearing member. Each of the fine holes has a part in which a cross sectional area thereof increases as a distance from the exit opening decreases.