Dynamic service rate control for a single‐server queue with Markov‐modulated arrivals

We consider the problem of service rate control of a single‐server queueing system with a finite‐state Markov‐modulated Poisson arrival process. We show that the optimal service rate is nondecreasing in the number of customers in the system; higher congestion levels warrant higher service rates. On the contrary, however, we show that the optimal service rate is not necessarily monotone in the current arrival rate. If the modulating process satisfies a stochastic monotonicity property, the monotonicity is recovered. We examine several heuristics and show where heuristics are reasonable substitutes for the optimal control. None of the heuristics perform well in all the regimes and the fluctuation rate of the modulating process plays an important role in deciding the right heuristic. Second, we discuss when the Markov‐modulated Poisson process with service rate control can act as a heuristic itself to approximate the control of a system with a periodic nonhomogeneous Poisson arrival process. Not only is the current model of interest in the control of Internet or mobile networks with bursty traffic, but it is also useful in providing a tractable alternative for the control of service centers with nonstationary arrival rates. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 60: 661–677, 2013     

Winning with warlords in Afghanistan

A fundamental contradiction has been built into America's intervention in Afghanistan since the first days of the war in 2001. On the one hand, US policymakers have viewed the promotion of liberal democracy, economic development, and strong centralized state institutions as essential to achieve victory over the long term. On the other hand, however, the US has relied on local warlords to win its battles against the Taliban from the first days of the intervention. The Obama administration's tortured policy review reflects the intractable dilemmas involved in trying to build a modern democratic state while relying on local warlords as crucial allies in the war against the Taliban.     

Machine maintenance with workload considerations

Machine maintenance is modeled in the setting of a single‐server queue. Machine deterioration corresponds to slower service rates and failure. This leads to higher congestion and an increase in customer holding costs. The decision‐maker decides when to perform maintenance, which may be done pre‐emptively; before catastrophic failures. Similar to classic maintenance control models, the information available to the decision‐maker includes the state of the server. Unlike classic models, the information also includes the number of customers in queue. Considered are both a repair model and a replacement model. In the repair model, with random replacement times, fixed costs are assumed to be constant in the server state. In the replacement model, both constant and variable fixed costs are considered. It is shown in general that the optimal maintenance policies have switching curve structure that is monotone in the server state. However, the switching curve policies for the repair model are not always monotone in the number of customers in the queue. Numerical examples and two heuristics are also presented. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Force protection and society

Wars have long been fought with a firm focus upon armies' domestic contexts. These socio-political foundations have underpinned decisions regarding embarking upon war as well the conduct of war itself. Of particular importance among liberal democracies is the emphasis which is now placed upon force protection; broadly conceived as the range of measures employed to ensure the protection of servicemen and women on operations. Decisions surrounding protective equipment, deployed locations and wartime activities all face detailed scrutiny in contemporary operating environments. The attitudes of the government, the military and the civilian population combine to create a complex and dynamic backdrop of harmony and tension to this most sensitive characteristic of modern wars.