An MX/G/1 queueing system with disasters and repairs under a multiple adapted vacation policy

We consider a queueing system with batch Poisson arrivals subject to disasters which occur independently according to a Poisson process but affect the system only when the server is busy, in which case the system is cleared of all customers. Following a disaster that affects the system, the server initiates a repair period during which arriving customers accumulate without receiving service. The server operates under a Multiple Adapted Vacation policy. The stationary regime of this process is analyzed using the supplementary variables method. We obtain the probability generating function of the number of customers in the system, the fraction of customers who complete service, and the Laplace transform of the system time of a typical customer in stationarity. The stability condition for the system and the Laplace transform of the time between two consecutive disasters affecting the system is obtained by analyzing an embedded Markov renewal process. The statistical characteristics of the batches that complete service without being affected by disasters and those of the partially served batches are also derived. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 171–189, 2015     

A note on the optimality of index priority rules for search and sequencing problems

We show that the linear objective function of a search problem can be generalized to a power function and/or a logarithmic function and still be minimized by an index priority rule. We prove our result by solving the differential equation resulting from the required invariance condition, therefore, we also prove that any other generalization of this linear objective function will not lead to an index priority rule. We also demonstrate the full equivalence between two related search problems in the sense that a solution to either one can be used to solve the other one and vice versa. Finally, we show that the linear function is the only function leading to an index priority rule for the single‐machine makespan minimization problem with deteriorating jobs and an additive job deterioration function. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Incorporation dynamic aspects and uncertainty in 1‐median location problems

In this paper we present several 1‐median formulations on a tree network which incorporate dynamic evolution and/or uncertainty of node demands and transportation costs over a planning horizon. Dynamic evolution is modeled using linear demand functions for the nodes and linear length functions for the edges. Uncertainty is modeled with the use of multiple scenarios, where a scenario is a complete specification of the uncertain node demands and/or edge lengths. We formulate our objective using minimax regret like criteria. We use two different criteria, namely, robust deviation and relative robustness. We discuss what motivated the introduction of these objectives, as well as their relation to existing literature and decision making practices. For all of the models presented, we provide low‐order polynomial time algorithms. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 147–168, 1999     

Asymptotically optimal linear time algorithms for two‐stage and three‐stage flexible flow shops

We consider two‐stage and three‐stage flexible flow shops with parallel machines in each stage and the minimum makespan objective. We develop linear time algorithms for these problems with absolute worst‐case bounds either sharper or no worse than the currently available ones and we accomplish this with lower complexity algorithms. We also demonstrate the asymptotic optimality of a class of algorithms for multistage flexible flow shop problems (which includes the proposed algorithms) under certain probabilistic assumptions on the job processing times. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 259–268, 2000     

Optimal Bayesian single-sampling attribute plans with modified beta prior distribution

In this article we study the properties of the optimal Bayesian single-sampling plans when the prior distribution of the lot fraction defective is modified Beta, which has been found useful in the analysis of inspection schemes for complex production systems. These properties are used to devise an improved and more efficient algorithm for the determination of the optimal sampling plans. Numerical examples are presented to illustrate the potential computational savings of the algorithm.     

Stochastic allocation of inspection capacity to competitive processes

Optimal allocation and control of limited inspection capacity for multiple production processes are considered. The production processes, which operate independently but share inspection capacity, are subject to random failures and are partially observed through inspection. This study proposes an approach of stochastic allocation, using a Markov decision process, to minimize expected total discounted cost over an infinite time horizon. Both an optimal model and a disaggregate approximation model are introduced. The study provides some structural results and establishes that the control policy is of a threshold type. Numerical experiments demonstrate a significantly decreased amount of computational time required for the disaggregate approach when compared to the optimal solution, while generating very good control policies. © 2002 John Wiley & Sons, Inc. Naval Research Logistics, 49: 78–94, 2002; DOI 10.1002/nav.1049     

Ethnic targeting: A bad idea whose time has come

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Christopher Thorne, Allies of a Kind. The United States, Britain and the war against Japan, 1941–1945. London: Hamish Hamilton, 1978. Pp. xxii + 772; £15.00.

Michael Howard, editor, Restraints on War: Studies in the Limitation of Armed Conflict Oxford: Oxford University Press, 1979. Pp. viii + 173; £6.50.

Julian Lider, The Political and Military Laws of War: an Analysis of Marxist‐Leninist Concepts. Farnborough, Hants: Saxon House, 1979. Pp. vii + 266; £12.50.

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Kirk, Grayson and Wessell, N.H. eds., The Soviet Threat: Myths and Realities. New York and London: Praeger, 1978. Pp. 182; £12.00.

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Kenneth E. Boulding (ed.), Peace and the War Industry. New Brunswick, NJ: Transaction Books, and Oxford: Basil Blackwell, 1973. Pp. vii + 213; £2.75.     

An Ideological Response to Combating Terrorism – The Singapore Perspective

The article examines alternative strategies to combating the scourge of terrorism beyond military approaches. There is now more realization, especially after the difficulties experienced in Iraq today, that an innovative multi-pronged mix of methods is needed to combat international terrorism. The paper looks at an ideological response towards combating terrorism by looking at the Singapore experience. The Singapore government recognizes the importance of an ideological response as an integral part of counterterrorism measures. Terrorism occurs when opportunity, motivation and capability meet. The prevention of terrorism requires the elimination of at least one of these three factors- motivation- often driven by ideology. The paper will look at direct and indirect initiatives undertaken in Singapore to combat terrorism and will also look at the Muslim community in Singapore's response to the threat to Singapore society. Lastly, the article will examine some lessons learnt from the Singapore experience in applying an ideological approach in combating terrorism as well as some recommendations of what more can be done to move forward.