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     

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     

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.     

‘Taylor must go’ – the strategy of the Liberians United for Reconciliation and Democracy

In 1999, rebels rose to oppose the newly elected former warlord Charles Taylor in Liberia. Motivated by a variety of reasons, the minimal common denominator of these rebels, who assumed the name Liberians United for Reconciliation and Democracy (LURD), was that Charles Taylor must leave the country. The decentralized nature of LURD though stands out in their struggle, as they don't fit the unitary actor assumed by literature on strategy, nor the alternative conception of decentralized forces fighting for purely local reasons. Understanding such aberrations as LURD is the first step to finding strategies that can incorporate and manage them.     

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.     

A new outranking‐based approach for assigning alternatives to ordered classes

We consider the problem of assigning alternatives evaluated on several criteria into ordered categories C₁,C₂,…,C_p. This problem is known as the multi‐criteria sorting problem and arises in many situations such as classifying countries into different risk levels based on economical and socio‐political criteria, evaluating credit applications of bank customers. We are interested in sorting methods that are grounded on the construction of outranking relations. Among these, the Electre Tri method requires defining multidimensional profiles that represent the “frontier” separating consecutive categories C_h and C_h+1, and assigns an alternative to categories according to how it compares to each of the profiles. The explicit specification of the profiles of consecutive categories can be difficult for decision makers. We develop a new outranking based sorting method that does not require the explicit definition of profiles. We instead require the decision maker to assign a subset of reference alternatives to the categories. To assign the remaining alternatives, each such alternative is compared to reference alternatives, and assigned to categories accordingly. © 2008 Wiley Periodicals, Inc. Naval Research Logistics 2009     

‘What is in a Name?’: The Role of (Different) Identities in the Multiple Proxy Wars in Syria

Abstract

Post-uprisings Middle East politics is frequently described as a ‘regional cold war’ involving proxy warfare that emphasises the role of shared identities linking external and local actors. But does the ‘content’ of identities impact proxy war dynamics? This article considers the present ‘battle for Syria’, a local conflict that became a theatre for multiple proxy wars involving actors emphasising identities on various levels, most notably national, religious/ sect and ethnic. It suggests that identity content does matter, with global powers more reluctant than regional players to back groups identifying at sub-national level, while foreign non-state actors are enthusiastic backers of sub-national identity.     

Approximating the nondominated frontiers of multi‐objective combinatorial optimization problems

Finding all nondominated vectors for multi‐objective combinatorial optimization (MOCO) problems is computationally very hard in general. We approximate the nondominated frontiers of MOCO problems by fitting smooth hypersurfaces. For a given problem, we fit the hypersurface using a single nondominated reference vector. We experiment with different types of MOCO problems and demonstrate that in all cases the fitted hypersurfaces approximate all nondominated vectors well. We discuss that such an approximation is useful to find the neighborhood of preferred regions of the nondominated vectors with very little computational effort. Further computational effort can then be spent in the identified region to find the actual nondominated vectors the decision maker will prefer. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

Understanding armed groups and party politics

Abstract

Political parties with an armed history are not unusual, yet how these groups function in politics after the transition has largely been ignored. This special issue examines armed groups in party politics, using single and comparative case studies. The introduction forwards five recommendations for future research: (1) We need to see more comparisons across taken for granted boundaries; (2) the consequences for democracy should figure more prominently in our analysis of armed groups; (3) think more critically about standards and conceptual tools; (4) critically examine the interaction between levels of analysis; and (5) methodological pluralism would enrich the field.