On the optimal allocation of crewmen aboard a warship

In the temporarily isolated situation in which a warship finds itself during a mission. not only spare parts, but also “spare” crewmen in various categories of specialization must he on board. Mathematical models for the probabilities of mission survival for personnel and for personnel and materiel jointly are proposed. A practical example is worked out: the optimal allocation of spare crewmen to different categories of specialization is calculated.     

Dynamic pricing under first order Markovian competition

We evaluate the effect of competition on prices, profits, and consumers' surplus in multiperiod, finite horizon, dynamic pricing settings. In our base model, a single myopic consumer visits two competing retailers, who offer identical goods, in a (first order Markovian) probabilistic fashion—if the posted price exceeds the consumer's valuation for the good, he returns to the same store in the following period with a certain probability. We find that even a small reduction in the return probability from one—which corresponds to the monopoly case at which prices decline linearly—is sufficient to revert the price decline from a linear into an exponential shape. Each retailer's profit is particularly sensitive to changes in his return probability when it is relatively high, and is maximized under complete loyalty behavior (i.e., return probability is one). On the other hand, consumer surplus is maximized under complete switching behavior (i.e., return probability is zero). In the presence of many similar consumers, the insights remain valid. We further focus on the extreme scenario where all consumers follow a complete switching behavior, to derive sharp bounds, and also consider the instance where, in this setting, myopic consumers are replaced with strategic consumers. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

THE F‐35 JOINT STRIKE FIGHTER AS A SOURCE OF INNOVATIon AND EMPLOYMENT: SOME INTERIM RESULTS

The F‐35 Joint Strike Fighter (JSF) programme is important for innovation in the Dutch economy and also contributes to other programmes in the aerospace industry (spin‐off) and other industries (spillover). On top of the expected value of US$9.2 billion in development and production, based on interviews with 10 companies and research institutes, an expected spin‐off of US$1.1 billion and an expected spillover of US$120 million will result. In addition, over 23,000 man‐years are associated with the activities in the development and production of the JSF. This study excludes the large and labour‐intensive Maintenance, Repair and Overhaul (MRO) activities. Further validation of data and an update of current results is planned for 2006.     

The structure of the defense industry and the security needs of the country: a differentiated products model

This paper models the interactions between the defense needs of the USA and Western Europe, which produce several heterogeneous defense goods, and the defense industry market structure. The results show that net defense costs of the USA and Europe are lower when the number of defense firms in each arms‐producing country is small and when the world prices of the defense goods are high. The model predicts that the increase in world prices will crowd‐out countries in the developing world from the market for modern weapon systems and may force them to develop and use ‘cheap and dirty’ weapon systems.     

On the availability of R out of N repairable systems

An R out of N repairable system consisting of N components and operates if at least R components are functioning. Repairable means that failed components are repaired, and upon repair completion they are as good as new. We derive formulas for the expected up‐time, expected down‐time, and the availability of the system, using Markov renewal processes. We assume that either the repair times of the components are generally distributed and the components' lifetimes are exponential or vice versa. The analysis is done for systems with either cold or warm stand‐by. Numerical examples are given for several life time and repair time distributions. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 483–498, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10025     

Colonizing military history: A millennial view on the economics of war

We briefly illustrate the application of fundamental principles of economics to three episodes of military history for the second millennium AD. The periods, principles, and cases examined are, first, the European Middle Ages (1000-1300; opportunity cost; siege warfare); second, the Enlightenment and the Age of Battle (1618-1814; expected marginal costs/benefits; the decision to engage in battle); and third, the Cold War (1945-1989; substitution; France's nuclear force de frappe).     

ISIS-K: deadly nuisance or strategic threat?

ABSTRACT

In 2014, an affiliate of the Islamic State of Iraq and Syria emerged in Afghanistan. Wilayat Khorasan, or ISIS-K, intends to secure Afghanistan to legitimize the Islamic State’s caliphate across the ‘Khorasan Province’ including portions of Central Asia, China, Iran, the Indian Subcontinent, and Southeast Asia. While the group’s intent is clear, its capability confounds analysts. The authors argue that Wilayat Khorasan is likely the Islamic State’s most viable and lethal regional affiliate based on an expansionist military strategy. This is designed to enable the group’s encirclement of Jalalabad City in Nangarhar Province and is foundational to its expanded operational reach, regionalization, and lethality. Since 2016, the US-led Coalition’s counter-terrorism strategy has disrupted ISIS-K’s critical requirements and prevented external attacks. Yet, raids and strikes alone will not defeat ISIS-K. They must be calibrated against an institution-building approach that legitimizes Afghanistan’s government and redresses grievances that ISIS-K exploits to resolve.     

Building Trust in the Mission Area: a Weapon Against Terrorism?

Military units on missions abroad face, among other challenges, terrorism. Terrorists are hard to recognize since they operate non-uniformed. Detection of terrorists in the area of operation can best be done by winning the trust of the local population, who can provide information. However, since the military rotates its units regularly, it is hard to build up a trusting relationship with the local population. Other players in the field of international operations are civil aid organisations. They remain in the area for a lengthy period of time, and often build up trusting relationships with the local population. Trust between civil aid organisations and the military is a triple edged sword, as it enables co-operation: the civil aid organisations get the protection they need from the military, the military gets the information it needs through civil aid organisations and the local population is supported in rebuilding society by repressing terrorism.     

Performance evaluation of a production/inventory system with periodic review and endogenous lead times

This paper considers a discrete time, single item production/inventory system with random period demands. Inventory levels are reviewed periodically and managed using a base‐stock policy. Replenishment orders are placed with the production system which is capacitated in the sense that there is a single server that sequentially processes the items one at a time with stochastic unit processing times. In this setting the variability in demand determines the arrival pattern of production orders at the queue, influencing supply lead times. In addition, the inventory behavior is impacted by the correlation between demand and lead times: a large demand size corresponds to a long lead time, depleting the inventory longer. The contribution of this paper is threefold. First, we present an exact procedure based on matrix‐analytic techniques for computing the replenishment lead time distribution given an arbitrary discrete demand distribution. Second, we numerically characterize the distribution of inventory levels, and various other performance measures such as fill rate, base‐stock levels and optimal safety stocks, taking the correlation between demand and lead times into account. Third, we develop an algorithm to fit the first two moments of the demand and service time distribution to a discrete phase‐type distribution with a minimal number of phases. This provides a practical tool to analyze the effect of demand variability, as measured by its coefficient of variation, on system performance. We also show that our model is more appropriate than some existing models of capacitated systems in discrete time. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007