The process of testing a sample of a patient's blood against units of blood from inventory to ensure compatibility is called crossmatching. When a physician orders blood, it is crossmatched and then held for a patient. As a precautionary measure, physicians tend to order blood in excess of the...

We consider a mean-reverting risk-neutral short rate process model with a vector of subordinated drift processes that accounts for the random effect of the arrival of new information. It is assumed that the market is efficient with no arbitrage opportunities. Closed form expressions for the...

LaValle (LaValle, I. H. 1987. Response to `Use of sample information in stochastic recourse and chance-constrained programming models:' On the `Bayesability' of CCP's. Management Sci. 33 1224--1228.) claims that the utility function U(z, F₁, ..., F_n) I have assumed in Jagannathan (Jagannathan,...

In my recent paper "A Minimax Ordering Policy for the Infinite Stage Dynamic Inventory Problem," Management Sci., Vol. 24, No. 11 (July 1978), pp. 1138-1145, I noticed some errors in the proof of Theorem A.5 in the Appendix which made the proof somewhat incomplete. I have given below a correct...

This paper presents results which apply to convex programming problem in parametric form. The results secured are also related to the problem of fractional programming in a way which indicates computational possibilities for the latter class of problems. The results are extended to general...

A deterministic production planning problem with limited backlogging, inventory and production capacity constraints is considered. The model also includes a certain type of production cost function which is neither convex nor concave. A characterization of the extreme points is provided and an...