Priority allocation decisions in large scale MTO/MTS multi-product manufacturing systems : Technical report

In this paper, the authors consider a single stage multi-product manufacturing facility producing a large number of end-products for delivery within a service constraint for the customer lead-time. The manufacturing facility is modeled as a multi-product, multi-priority queuing system. In order to reduce inventory costs, an e±cient priority allocation between items consists in producing some items according to a Make-To-Stock (MTS) policy and others according to a Make-To-Order (MTO)policy epending on their features (costs, required lead-time, demand rates). The authors propose a general optimization procedure that gives a near-optimal °ow control (MTO or MTS) to associate with each product and the corresponding near-optimal priority strategy. We illustrate e±ciency of our procedure via several examples and by a numerical analysis. In addition, we show numerically that a small number of priority classes is su±cient to obtain near-optimal performances.Make-to-Stock (MTS); Make-to-Order (MTO); Priority allocation; Scheduling rule; Heterogeneous multi-product queuing system

Analysis of the optimal exercise boundary of American put option with delivery lags

We show that an American put option with delivery lags can be decomposed as a European put option and another American-style derivative. The latter is an option for which the investor receives the Greek Theta of the corresponding European option as the running payoff, and decides an optimal stopping time to terminate the contract. Based on the this decomposition, we further show that the associated optimal exercise boundary exists, and is a strictly increasing and smooth curve. We also analyze its asymptotic behavior for both large maturity and small time lag using the free-boundary method.Comment: 28 pages, 5 figure

Price Rigidity and Flexibility: Recent Theoretical Developments

The price system, the adjustment of prices to changes in market conditions, is the primary mechanism by which markets function and by which the three most basic questions get answered: what to produce, how much to produce and for whom to produce. To the behaviour of price and price system, therefore, have fundamental implications for many key issues in microeconomics and industrial organization, as well as in macroeconomics and monetary economics. In microeconomics, managerial economics, and industrial organization, economists focus on the price system efficiency. In macroeconomics and monetary economics, economists focus on the extent to which nominal prices fail to adjust to changes in market conditions. Nominal price rigidities play particularly important role in modern monetary economics and in the conduct of monetary policy because of their ability to explain short-run monetary non-neutrality. The behaviour of prices, and in particular the extent of their rigidity and flexibility, therefore, is of central importance in economics. This introductory essay briefly summarizes the eight studies of price rigidity that are included in this special issue.Price Rigidity; Price Flexibility; Cost of Price Adjustment; Menu Cost; Managerial and Customer Cost of Price Adjustment; New Keynesian Economics; Price System

A Limited-Feedback Approximation Scheme for Optimal Switching Problems with Execution Delays

We consider a type of optimal switching problems with non-uniform execution delays and ramping. Such problems frequently occur in the operation of economical and engineering systems. We first provide a solution to the problem by applying a probabilistic method. The main contribution is, however, a scheme for approximating the optimal control by limiting the information in the state-feedback. In a numerical example the approximation routine gives a considerable computational performance enhancement, when compared to a conventional algorithm

Investment, Interest Rates, and the Effects of Stabilization Policies

macroeconomics, interest rates, investment, stabilization policies

Information, sticky prices and macroeconomic foundations.

Macroeconomics