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August 31, 2019 posted by

Now we can calculate the numbers of UAVs, regions, orders and maintenance facilities in different positions in terms of m and n, namely: In [9] , the application of a reactive tabu search metaheuristics to UAV routing problem with time windows is considered. Therefore, some of the probabilities namely of m orders in the system are the same as those in the model with ample maintenance facilities [28]:. In [10] , the maximum probability that the UAVs successfully reach the target is obtained, combining the Markov Decision Process and the sample path technique. Performance Effectiveness Index PEI of the system is the expected value of the current effectiveness, namely:. 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. Scientific Research An Academic Publisher.

Orders inter-arrival times and their duration times are also independent exponentially distributed random values with parameters, which will be determined later. A corresponding set of simultaneous linear equations for steady state probabilities is as follows:. Next we shall show how to calculate some useful performance characteristics of the system under consideration. In [28] and [29] , the concept of PEI was adjusted for RTS with ample maintenance facilities working in general regime. References [ 1 ] Lin, G. These aircrafts are indispensable in monitoring restricted, hard-to-reach and dangerous locations.

Finally, the performance measure can be introduced via cost function. We denotethe steady-state probability of the state m, n.

We consider a military intelligence unit equipped with N identical UAVs responsible for r non-overlapping homogeneous reconnaissance regions required to be under surveillance. State transition rate diagram for Theorem 1.

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Journal of the Operational Research Society, 52, RTS with priorities were studied in [22] [23] preemptive and [24] nonpreemptive respectively. 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.

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 addressed. In [8]the authors present the statistical methodology used to devise a quick-running routing heuristic that provides reasonable solutions for UAV.

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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.

Communications in Dependability and Quality Management, 12, Now we can calculate the numbers of UAVs, regions, orders and maintenance facilities in different positions in terms of m and n, namely: Journal of Computer and Communications, 3, There are no additional order arrivals when there are already r orders in the system.

Computers and Operations Research, 29, A corresponding set of simultaneous linear equations for steady state probabilities is as follows:. Today, the battlefield usually holds no secrets from sophisticated flying platforms. References [ 1 ] Lin, G.

Therefore, some of the probabilities namely subttitles m orders in the system are the same as those in the model with ample maintenance facilities [28]:. Computer Modelling and New Technologies, 42, Any part of the order that is not executed immediately e.

In sevisethe maximum probability that the UAVs successfully reach the target is obtained, combining the Markov Decision Process and the sample path technique. This formula allows to make a good choice of numbers of UAVs and maintenance facilities needed for the proper operation of the system. Annals of Operations Research, JCC Most popular papers.

If all UAV are not available until 9: In this section we suppose that: Military Operations Research, 8, 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. 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.

Performance Effectiveness Index PEI of the system is the expected value of the current effectiveness, namely:. In [7]routing problems for heterogeneous UAVs subritles studied. Please enable JavaScript to view the comments powered by Disqus.

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Therefore one UAV at most is used with others being in maintenance or on stand-by or providing the service to another region to execute the order concerning this region at any moment.

Journal of the Operational Research Society, 56, Journal of Computer and Communications4 This enables as to treat the model under consideration as a Markov chain. 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.

Open Journal of Applied Sciences, 5, Description of the Model We consider a military intelligence unit equipped with N suvtitles UAVs responsible for r non-overlapping homogeneous reconnaissance regions required to be under surveillance. We define the state of the system m, nwith and being numbers of orders in the system i. 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.

Each facility can treat only one UAV simultaneously. From the earliest days of warfare, military commanders have wanted to know what lies over the hill. Orders inter-arrival times and their duration times are also englsih exponentially distributed random values with parameters, which will be determined later.

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Received 20 June ; accepted 19 August ; published 22 August 1. The paper is not in the journal. We presented this system as a Markov chain and provided a set of linear equations 95r steady-state probabilities, as well as performance effectiveness index, average cost function and other performance characteristics. Traditional definitions of availability are not compatible for complex e.