Optimal search for a moving target with the option to wait

We investigate the problem in which an agent has to find an object that moves between two locations according to a discrete Markov process (Pollock, Operat Res 18 (1970) 883–903). At every period, the agent has three options: searching left, searching right, and waiting. We assume that waiting is costless whereas searching is costly. Moreover, when the agent searches the location that contains the object, he finds it with probability 1 (i.e. there is no overlooking). Waiting can be useful because it could induce a more favorable probability distribution over the two locations next period. We find an essentially unique (nearly) optimal strategy, and prove that it is characterized by two thresholds (as conjectured by Weber, J Appl Probab 23 (1986) 708–717). We show, moreover, that it can never be optimal to search the location with the lower probability of containing the object. The latter result is far from obvious and is in clear contrast with the example in Ross (1983) for the model without waiting. © 2009 Wiley Periodicals, Inc. Naval Research Logistics 2009     

An optimal critical level policy for inventory systems with two demand classes

Traditional inventory systems treat all demands of a given item equally. This approach is optimal if the penalty costs of all customers are the same, but it is not optimal if the penalty costs are different for different customer classes. Then, demands of customers with high penalty costs must be filled before demands of customers with low penalty costs. A commonly used inventory policy for dealing with demands with different penalty costs is the critical level inventory policy. Under this policy demands with low penalty costs are filled as long as inventory is above a certain critical level. If the inventory reaches the critical level, only demands with high penalty costs are filled and demands with low penalty costs are backordered. In this article, we consider a critical level policy for a periodic review inventory system with two demand classes. Because traditional approaches cannot be used to find the optimal parameters of the policy, we use a multidimensional Markov chain to model the inventory system. We use a sample path approach to prove several properties of this inventory system. Although the cost function is not convex, we can build on these properties to develop an optimization approach that finds the optimal solution. We also present some numerical results. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

A note on efficient sequences with respect to total flow time and number of tardy jobs

For the single‐machine scheduling problem with the objective of simultaneously minimizing total flow time and number of tardy jobs, a lower bound on the number of efficient sequences is known. However, the proof thereof, which makes use of a modified version of Smith's algorithm, is unduly lengthy and sophisticated. Adopting a totally new point of view, we present in this short article a much simpler proof based on the naive idea of pairwise interchange. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 346–348, 2016     

A nation-in-the-making,in arms: control of force,strategy and the Ukrainian Volunteer Battalions

At the core of waging war and strategy is the creation, control and use of force. This article investigates the volunteer battalions that mobilized in Ukraine during the spring of 2014. It contextualizes the volunteer phenomenon and focuses on the state strategies to establish control over these militias. As ambiguous entities arising from a situation characterized by rapid social change – revolution and war – the volunteer battalions threatened existing hierarchies and questioned state authority. The situation was exacerbated by the war, which deviated from the expectations of Ukrainian combatants and Western military observers alike. The state nevertheless enjoyed a modicum of success in reining in the militias through four strategies of undermining, co-option, incorporation and coercion. While predominantly integrated into a more rigid category of paramilitary forces, the volunteers continue to play a role in both the Ukrainian society and security sector to the unforeseeable future.     

Quality control chart design under Jidoka

We consider design of control charts in the presence of machine stoppages that are exogenously imposed (as under jidoka practices). Each stoppage creates an opportunity for inspection/repair at reduced cost. We first model a single machine facing opportunities arriving according to a Poisson process, develop the expressions for its operating characteristics and construct the optimization problem for economic design of a control chart. We, then, consider the multiple machine setting where individual machine stoppages may create inspection/repair opportunities for other machines. We develop exact expressions for the cases when all machines are either opportunity‐takers or not. On the basis of an approximation for the all‐taker case, we then propose an approximate model for the mixed case. In a numerical study, we examine the opportunity taking behavior of machines in both single and multiple machine settings and the impact of such practices on the design of an X – Q C chart. Our findings indicate that incorporating inspection/repair opportunities into QC chart design may provide considerable cost savings. © 2009 Wiley Periodicals, Inc. Naval Research Logistics 2009     

Private security contractors and international humanitarian law—a skirmish for recognition in international armed conflicts

In recent international armed conflicts private security contractors (PSCs) have played an ever increasing role and military advisors and tribunals are facing the dilemma of assessing the primary and secondary status of PSCs under international humanitarian law. In this article the misconception that PSCs are necessarily mercenaries will be dispelled. The possibility that PSCs might be categorised as combatants or civilians will then be explored. The conclusion is that where they are incorporated into the armed forces of a state, PSCs might attain combatant status. However, given that states are reluctant to formally incorporate PSCs into their armed forces, they will most likely remain essentially civilian. Their degree of participation in hostilities will determine whether they retain their immunity under international humanitarian law from attack and prosecution (as civilians) or whether they are rendered unlawful belligerents.     

Facing ‘people's war’: Moltke the elder and Germany's military options after 1871

Prof. Dr Werner Hahlweg (ed.), Carl von Clausewitz: Vom Kriege. Neunzehnte Auflage. Bonn: Duemmler, 1980. Pp. 1406; DM. 98.00.*

Tony Ashworth, Trench Warfare 1914–1918. The Live and Let Live System. London: The Macmillan Press, 1980. Pp. 226; £15.

Stephen Roskill, Admiral of the Fleet: Earl Beatty. London: Collins, 1980. Pp. 430; £12.95.

R.J. Overy, The Air War 1939–1945. London: Europa Publications, 1980. Pp. 250; £12.50.

Martin Binkin and Irene Kynakopoulos, Youth or Experience? Manning the Modern Military. Washington, D.C.: The Brookings Institution, 1980. Pp. 84; NP.

Amos Perlmutter and Valerie Bennett (eds), The Political Influence of the Military. New Haven and London: Yale University Press, 1980. Pp. 508; £22.50; £6.90 (paperback).

Edward M. Spiers, The Army and Society 1815–1914. Themes in British Social History. London: Longman, 1980. Pp. 318; £9.95, £5.75 (paperback).

Richard K. Ashley, The Political Economy of War and Peace: The Sino‐Soviet‐American Triangle and the Modern Security Problematique. London: Frances Pinter, 1980. Pp. 384; £15.