Detection of a Markovian target with optimization of the search efforts under generalized linear constraints

This paper deals with search for a target following a Markovian movement or a conditionally deterministic motion. The problem is to allocate the search efforts, when search resources renew with generalized linear constraints. The model obtained is extended to resource mixing management. New optimality equations of de Guenin's style are obtained. Practically, the problem is solved by using an algorithm derived from the FAB method. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 117–142, 2002; DOI 10.1002/nav.10009     

Inventory control under substitutable demand: A stochastic game application

Substitutable product inventory problem is analyzed using the concepts of stochastic game theory. It is assumed that there are two substitutable products that are sold by different retailers and the demand for each product is random. Game theoretic nature of this problem is the result of substitution between products. Since retailers compete for the substitutable demand, ordering decision of each retailer depends on the ordering decision of the other retailer. Under the discounted payoff criterion, this problem is formulated as a two‐person nonzero‐sum stochastic game. In the case of linear ordering cost, it is shown that there exists a Nash equilibrium characterized by a pair of stationary base stock strategies for the infinite horizon problem. This is the unique Nash equilibrium within the class of stationary base stock strategies. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 359–375, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10018     

Book reviews

Book Review: The Future of the Defence Firm: New Challenges, New Directions. Edited by Andrew Latham and Nicholas Hooper NATO ASI Series, Kluwer Academic Publishers ISBN 0–7923–3268–7

James E. Payne and Anandi P. Sahu (eds.) Defense Spending &; Economic Growth, Boulder, CO: Westview Press, 1993.     

DETERMINING THE DEFENCE INDUSTRIAL BASE

This paper models the determination of the defence industrial base – the number of different military systems a country decides to maintain. High R&D costs means that few countries can afford to produce major weapons systems and the producers also import systems. Non‐producers rely on imports and we assume their demand is driven by regional arms races. Military capability is determined by the number of systems and the quantity and quality of each. We examine how the defence industrial base is influenced by military expenditures, R&D costs, export controls, the nature of regional arms races and a variety of other factors.     

MILITARY EXPENDITURE AND UNEMPLOYMENT RATES: GRANGER CAUSALITY TESTS USING GLOBAL PANEL DATA

This paper investigates the empirical relationships between military expenditure and unemployment rates. A set of global panel data on 46 countries is utilized, and a panel data version of the Granger causality test is applied. The results indicate that there is little evidence of the causality running from unemployment to military expenditure regardless of how we measure military spending and determine group countries. In contrast, the causality running from military expenditure to unemployment receives empirical support if military expenditure is measured in terms of its share of GDP and if data are taken from middle‐ and low‐income countries or non‐OECD countries.     

Export controls,market structure and international coordination

We look at the different ways of aggregating the exports of dual use products to give the security perception of exporter countries and their consistency with the relevant export control regimes. Also, we analyze different models of export controls highlighting the role of the perception of security, market structure and competition between exporting firms in determining the existence of multiple equilibria and therefore, the need for coordination between countries in setting export controls.