A supply system's fill rate is the fraction of demand that is met from on-hand inventory. This paper presents formulas for the fill rate of periodic review supply systems that use base-stock-level policies. The first part of the paper contains fill-rate formulas for a single-stage system and...

This paper considers serial production-transportation systems. In recent years, researchers have developed a fairly simple functional equation that characterizes optimal system behavior, under the assumption of constant leadtimes. We show that the equation covers a variety of stochastic-leadtime...

We analyze the problem of minimizing average inventory costs subject to fill-rate type of service-level constraints in serial and assembly production/distribution systems. We propose optimal and heuristic procedures to solve this problem. Our model and solution procedures can be used to manage...

We noticed an error in the upper bound on the optimal system stock in Boyaci and Gallego (2001). We provide a procedure to compute the correct bound.

Manufacturing and service operations decisions depend critically on capacity and resource limits. These limits directly affect the risk inherent in those decisions. While risk consideration is well developed in finance through efficient market theory and the capital asset pricing model,...

We consider a call center model with m input flows and r pools of agents; the m-vector \lambda of instantaneous arrival rates is allowed to be time dependent and to vary stochastically. Seeking to optimize the trade-off between personnel costs and abandonment penalties, we develop and illustrate...

This paper studies production planning with random yield and demand. It is a departure from previous studies of random yield in that it defines the sale price and the purchasing cost as exogenous and increasing with decreasing yield. While this behavior can be observed in various industries...