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RTS with priorities were studied in [22] [23] preemptive and [24] nonpreemptive respectively. This enables as to treat the model under consideration as a Markov chain. A corresponding set of simultaneous linear equations for steady state probabilities is as follows:. In this section we suppose that: We presented this system as a Markov chain and provided a set of linear equations for steady-state probabilities, as well as performance effectiveness index, average cost function and other performance characteristics. In [2] , the behaviors of each sub-system, including the ground control station, the ground vehicle, a micro aerial vehicle, a high level UAV are investigated and captured and a Kripke model is used to formally describe the system.

Now we can calculate the numbers of UAVs, regions, orders and maintenance facilities in different positions in terms of m and n, namely: If all UAV are not available until 9: From the earliest days of warfare, military commanders have wanted to know what lies over the hill. In [10] , the maximum probability that the UAVs successfully reach the target is obtained, combining the Markov Decision Process and the sample path technique. References [ 1 ] Lin, G. In this paper, we presented a real world problem concerning multiple UAVs.

Journal of Computer and Communications, 3, Thus the shortage of maintenance facilities devies appear, and some of broken UAVs will have to wait for maintenance.

JCC Most popular papers. Another effectiveness measure, called the performance effectiveness index PEIand defined as a ratio of the expected system outcome to its maximal outcome, was suggested in [27].

Finally, the performance measure can be introduced via cost function. Military Operations Research, 8, The paper is not in the journal. Finally, we discuss the numerical results. According to recent concept, a real-time data collected by different systems would be further integrated and redistributed in framework of Network-Centric Operations system. This enables as to treat the model under consideration as a Markov chain. International Transactions in Operational Research, 11, An UAV flying over any region is operative for a period of time before requiring continuous time units of maintenance, after which it is again available for more time units of activity, and so on.

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Each facility can treat only one UAV simultaneously. In [28] and [29]the concept of PEI was adjusted for RTS with ample maintenance facilities working in general regime. Execution of an order, which has found an available UAV starts immediately upon its arrival and continues while where are available UAVs in the system.

Modern airborne reconnaissance structures rely on a combination of satellites, aircraft and unmanned aerial vehicles UAV. Scientific Research An Academic Publisher. John Wiley, New Englisj.

State transition rate diagram for Theorem 1. Cite this paper Kreimer, J. Operations Research, 42, In this section we suppose that: In [9]the application of a reactive tabu search metaheuristics to UAV routing problem with time windows is considered.

Performance Effectiveness Englksh PEI of the system is the expected value of the current effectiveness, namely:. To be more specific we assume that: Journal of the Operational Research Society, 52, Please enable JavaScript to view the comments powered by Disqus. To observe one region at any moment, only one UAV is needed, thus no additional orders are sent to the region, which is already under observation.

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Introduction From the earliest days of warfare, military commanders have wanted to know what lies over the hill. These aircrafts are indispensable in monitoring restricted, hard-to-reach and dangerous locations. Steady-State Probabilities In this section we suppose that: Binomial distributionfor average number of orders in the system also an average. In [6]a flexible model that allows multiple UAVs to cooperatively search for targets, and using a method to efficiently store dynamic target location probability distributions is engliwh.

Any part of the order that is not executed immediately e.

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Today, the battlefield usually holds no secrets from sophisticated flying platforms. Traditional definitions of availability are not compatible for complex e.

Further, in [12] [18] [19] and subttlesthese models working under a maximum load worst case of nonstop data arrival have been treated as queuing networks [21]. Now we can calculate the numbers of UAVs, regions, orders and maintenance facilities in different positions in terms of m and n, namely: Computers and Operations Research, 29, In [8]the authors present the statistical methodology used to devise a quick-running routing heuristic that provides reasonable solutions for UAV.

In [10]the maximum probability that the UAVs successfully reach the target is obtained, combining the Markov Decision Process and the sample path technique.

We define the state of the system m, nwith and being subtitlss of orders in the system i. Performance Effectiveness Index PEI characterizes a system ability to perform its main functions even with partial capacity, and is defined [27] as a ratio of the expected system outcome to its maximal outcome.

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Description of the Model We consider a military intelligence unit equipped emglish N identical UAVs responsible for r non-overlapping homogeneous reconnaissance regions required to be under surveillance. European Journal of Operational Research, In this work, we study the problem of multiple UAVs operating in general regime with limited maintenance facilities extension of [28].

References [ 1 ] Lin, G. It is important to remember, that the probabilities in Formulae 12 – 13 suhtitles, are those obtained in the previous Section from the set of linear Equations 1 –