A blood bank model with perishable blood and demand impatience

We consider a stochastic model for a blood bank, in which amounts of blood are offered and demanded according to independent compound Poisson processes. Blood is perishable, i.e., blood can only be kept in storage for a limited amount of time. Furthermore, demand for blood is impatient, i.e., a demand for blood may be cancelled if it cannot be satisfied soon enough. For a range of perishability functions and demand impatience functions, we derive the steady-state distributions of the amount of blood Xb kept in storage, and of the amount of demand for blood Xd (at any point in time, at most one of these quantities is positive). Under certain conditions we also obtain the fluid and diffusion limits of the blood inventory process, showing in particular that the diffusion limit process is an Ornstein-Uhlenbeck process

Reflections

The American Society of International Law Committee recommended that the Manley 0. Hudson Medal be awarded to Professor Eric Stein for his lifetime of significant contributions to international and comparative law. Stein, the Hessel E. Yntema Professor of Law, Emeritus, at the University of Michigan Law School, had been an active supporter of ASIL as Honorary Vice President, Counsellor, and Honorary Editor of, and frequent contributor to, the American Journal of International Law. His many books and articles established him as a leading thinker and writer on European Community law and on what he described in a famous article as the Uses, Misuses, and Nonuses of Comparative Law

The sea voyage as a marriage snare: gender in novels about the passage between the Netherlands and the Dutch East Indies (1869–1891)

Medieval and Early Modern Studie