Techniques for establishing ergodic and recurrence properties of continuous-valued markov chains

We present techniques for classifying Markov chains with a continuous state space as either ergodic or recurrent. These methods are analogous to those of Foster for countable space chains. The theory is presented in the first half of the paper, while the second half consists of examples illustrating these techniques. The technique for proving ergodicity involves, in practice, three steps: showing that the chain is irreducible in a suitable sense; verifying that the mean hitting times on certain (usually bounded) sets are bounded, by using a “mean drift” criterion analogous to that of Foster; and finally, checking that the chain is such that bounded mean hitting times for these sets does actually imply ergodicity. The examples comprise a number of known and new results: using our techniques we investigate random walks, queues with waiting-time-dependent service times, dams with general and random-release rules, the s-S inventory model, and feedback models.     

Radar pulse interleaving for multi‐target tracking

In a multifunction radar, the maximum number of targets that can be managed or tracked is an important performance measure. Interleaving algorithms developed to operate radars exploit the dead‐times between the transmitted and the received pulses to allocate new tracking tasks that might involve transmitting or receiving pulses, thus increasing the capacity of the system. The problem of interleaving N targets involves a search among N! possibilities, and suboptimal solutions are usually employed to satisfy the real‐time constraints of the radar system. In this paper, we present new tight 0–1 integer programming models for the radar pulse interleaving problem and develop effective solution methods based on Lagrangian relaxation techniques. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

Ricochet quantification using a multiple sensor approach

This study investigates the ricochet behaviour of three different small-arms projectile types using a novel ricochet measuring device.The results can be used to estimate the danger potential of ricochets on shooting ranges.A ricochet is the change of direction and velocity of a projectile after impacting an oblique surface.This impact produces strong vibrations on a rigid plate.During this impact,flexural waves travel radially outwards from the point of impact.These waves are used to determine the properties of the impactor with accelerometers situated on the target surface.With the use of two measurement plates,one can produce a ricochet and detect the velocity at the same time.Accelerometers are suitable for accurate momentum measurements of single impacts.However,depending upon strike velocity and the impact angle,a ricochet can separate in multiple fragments after being deflected.From the operational safety perspective,these fragments need to be detected,as well.The approach of a coupled sensor concept was chosen to solve this problem.Thermographic sensors were additionally used to visualise the heat which is produced after pene-trating a rubber layer pasted in front of the steel target plate.With this approach one was able to detect the position of impact.The investigations showed that the measurement system performance is better with a multiple sensor design,which includes accelerometers for the velocity,impact strength and partly the position measurement,while the thermographic sensor was used for the position measurement and partly the momentum measurement.The investigated ammunition showed plausible fragmentation behaviour,and the results can already be used to estimate the danger potential of different ammunition types.Frangible projectiles fragment to small particles already after being deflected under a small angle.However,Full Metal Jacket projectiles with or without a steel core do not fragment under angles which are less than 5°.The objective of the paper is to demonstrate the possibility of measuring the complex ricochet me-chanics of small projectiles using standard accelerometers with the adequate signal processing approach.This measuring system is supported by an off the shelf thermographic camera.     

Stochastically minimizing the makespan in flow shops

In this article, we are concerned with scheduling stochastic jobs in a flowshop with m machines and zero intermediate storage. We assume that there are n - 2 identically distributed and 2 fast stochastic jobs. Roughly, the main result states that the makespan is stochastically minimized by placing one of the fast jobs first and the other last.     

Controlling Novichoks after Salisbury: revising the Chemical Weapons Convention schedules

ABSTRACT

Novichok agents are a class of nerve agents developed by the Soviet Union during the Cold War. In light of the use of a Novichok agent in Salisbury in March 2018, two sets of proposals to amend Schedule 1 of the 1993 Chemical Weapons Convention (CWC) have been put forth, one jointly by the United States, Canada, and the Netherlands, and the other by Russia. Both sets of proposals will be discussed and voted upon at the next Conference of States Parties of the Organisation for the Prohibition of Chemical Weapons (OPCW) in November 2019. If either set of proposals is approved, it will be the first time that the list of chemicals subject to verification under the CWC will have been modified. This viewpoint will discuss these proposals, and argue that, if adopted, the joint proposal and the portions of the Russian proposal upon which consensus can be reached would significantly strengthen the CWC by considerably expanding the coverage of its Schedule 1 and bringing Novichok agents firmly within the CWC’s verification system. We also argue that, since the OPCW Technical Secretariat did not deem the fifth group of chemicals proposed by Russia to meet the criteria for inclusion in Schedule 1, Russia should withdraw this part of its proposal from consideration. The proposals have also served an important purpose in clarifying the identity of the chemical agent used in the Salisbury incident, squarely placing it within one of the two families of Novichok agents described by the Russian chemical-weapons scientist and whistleblower Vil Mirzayanov. If either proposal is approved in November, it will be important to conduct a thorough assessment of key precursors for the synthesis of Novichok agents and assess the need to amend CWC schedules and national and multinational export-control lists accordingly.     

The U.S. Navy's task forces: 1–199

ABSTRACT

Grouping warships for combat has evolved greatly over the centuries. In the early 1940s, the United States Navy began to group its warships for combat in much more flexible task forces than the previous single-type-of-warship formations. This system has evolved and spread to naval forces ashore but remains fundamentally unchanged. It now covers numbers between 1 to over 1000, of which the most prominent is the first 100 or so which U.S. Navy combat forces use. The numbered fleets worldwide utilize the series covering 20-79; 1-19 and 90-99 appear to be reserved for special allocations and Commander, Pacific Fleet; numbers over 80 to the Atlantic; 100-119 for Northern Europe and briefly Tenth Fleet; the 120 series for Second Fleet as a Joint Task Force leader; the 150 series for Naval Forces Central Command; and the 180 series for Atlantic Fleet and now-Fleet Forces Command.