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These ideas were generalized in [26] , where the concept of performability was formally defined. Next we shall show how to calculate some useful performance characteristics of the system under consideration. We show how to compute steady-state probabilities of these systems, their performance effectiveness, and various performance parameters for exponentially distributed service and maintenance times of UAVs, as well as tasks duration and their arrival pattern. We show how to compute steady-state probabilities of such a system with exponentially distributed service and maintenance times, as well as tasks durations and their arrival pattern. Different parts time intervals, e. Performance Effectiveness Index PEI of the system is the expected value of the current effectiveness, namely:.

The use of military systems involving UAVs relies on the principle of availability, i. We consider a military intelligence unit equipped with N identical UAVs responsible for r non-overlapping homogeneous reconnaissance regions required to be under surveillance. We provide three definitions of PEI and various performance measures for these systems. Operations Research, 42, In this work, we study the problem of multiple UAVs operating in general regime with limited maintenance facilities extension of [28]. We show how to compute steady-state probabilities of these systems, their performance effectiveness, and various performance parameters for exponentially distributed service and maintenance times of UAVs, as well as tasks duration and their arrival pattern. 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. Journal of Computer and Communications, 3,

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Journal of Computer and Communications4 In [8]the authors present the statistical methodology used to devise a subtirles routing heuristic that provides reasonable solutions for UAV. An UAV flying over any region englisb 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. Finally, we discuss the numerical results. Queues of orders or their parts do not exist in this system.

Operations Research, 42, Journal of the Operational Research Society, 49, Cite this paper Kreimer, J. If all UAV are not available until 9: Open Journal of Applied Sciences, 5, Journal of Computer and Communications, 3, Therefore, some of the probabilities namely of m orders in the system are the same subtifles those in the model with ample maintenance facilities [28]:.

Next we shall show how to calculate some useful performance characteristics of the system under consideration. To be more specific we assume that: Modern airborne reconnaissance structures rely on a combination of satellites, aircraft and unmanned aerial vehicles UAV.

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JCC Most popular papers. ABSTRACT We consider a real-world problem of military intelligence unit equipped with multiple identical unmanned aerial vehicles UAV responsible for several regions with requests of real-time jobs arriving from independent sources.

These ideas were generalized in [26]where the concept of performability was formally defined. In this paper, we presented a real world problem concerning multiple UAVs. In [28] and [29]the concept of PEI was adjusted for RTS with ample maintenance facilities working in general regime. We define the state of the system m, nwith and being numbers of orders in the system i.

Let C be the cost of one processed order during the time unit, D be the cost of one non-processed order lost part during the time unit, G be the cost of one UAV being on stand-by during the time unit, H be the cost of one UAV being in maintenance during the time unit, F be the cost of one UAV waiting for maintenance during the time unit and Q be the cost of one idle maintenance facility during the time unit. Military Operations Research, 6, We suppose that there are no ample maintenance facilities, allowing simultaneous treatment of all vehicles if necessary.

In [11]it is shown how the complex UAV availability model with ample maintenance facilities and general life time and maintenance distributions can be tackled analytically by using a basic model from reliability theory.

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Any part of the order that is not executed immediately e. In [12]it was shown that even very large number of UAVs did not guarantee the maximum system availability, and optimal routing probabilities were computed analytically for exponentially distributed service times via Cross Entropy [13] – [15] simulation approach for generally distributed service times.

We consider a eubtitles intelligence unit equipped with N identical UAVs responsible for r non-overlapping homogeneous reconnaissance regions required to be under surveillance. These aircrafts are indispensable in monitoring restricted, hard-to-reach and dangerous locations.

Each facility can treat only one UAV simultaneously. Annals of Operations Research, As it was mentioned earlier, maintenance times are independent exponentially distributed random values with parameter. International Transactions in Operational Research, 11, Received 20 June ; accepted 19 August ; published 22 August 1.

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Computers and Operations Research, 29, Now we can calculate the devvise of UAVs, regions, orders and maintenance facilities in different positions in terms of m and n, namely: Orders inter-arrival times and their duration times are also independent exponentially distributed random values with parameters, which will be determined later. Performance Effectiveness Index PEI of the system is the expected value of the current effectiveness, namely:. European Journal of Operational Research, We presented this system as a Markov chain and engliish a set of linear equations for steady-state probabilities, as well as performance effectiveness index, average cost function and other performance characteristics.

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ORMS Today, 31, Traditional definitions of availability are not compatible for complex e. State transition rate diagram for Theorem 1. Wubtitles show how to compute steady-state probabilities of such a system with exponentially distributed service and maintenance times, as well as tasks durations and their arrival pattern. Thus, the total number of orders in this military unit cannot exceed the number of regions, i.

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. In [6]a flexible model that allows multiple UAVs to cooperatively search for targets, and using a method to efficiently store dynamic target location englisb distributions is addressed.

Finally, the performance measure can be introduced via cost function. In [25]such effectiveness measures as computation reliability and computation availability for gracefully degradable multiprocessor computer system were introduced. 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].

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Computer Modelling and New Technologies, 42, It was shown [28] that PEI of this system, considered as a Markov chain at a steady state in terms of steady- state probabilities can be calculated as follows:.

Journal of the Operational Research Society, 52, 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. European Journal of Operational Research, 69,

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