The searching algorithm for detecting a Markovian target based on maximizing the discounted effort reward search

El–Hadidy, Mohamed Abd Allah

doi:10.1186/s42787-020-00097-1

Cited by 5 publications

(4 citation statements)

References 32 publications

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“…[16][17][18][19][20][21][22][23][40][41] For more recent and interesting search plans, see El-Hadidy et al. [24][25][26] All these studies have aimed to detect the lost targets with minimum cost and maximum probability. Another aim is to study the finiteness of the first meeting time between the randomly moving target and the searchers as in El-Hadidy et al.…”

Section: Introductionmentioning

confidence: 99%

“…This puts us in the face of a difficult discrete stochastic optimization problem that was previously studied in El-Hadidy. 25,26 The main goal here is to obtain the optimal distribution of the searching effort to get the suitable pharmaceutical company with the maximum probability. In the case of multiple M/M/1 cooperative queues where each one of them contains a single server and one access flow, Anily and Haviv 31 provided a collaboration model between them.…”

Section: Introductionmentioning

confidence: 99%

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Detection of an appropriate pharmaceutical company to get a suitable vaccine against COVID‐19 with minimum cost under the quality control process

El–Hadidy

Alfreedi

2021

Quality & Reliability Eng

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Some international pharmaceutical companies have succeeded in producing vaccines against COVID-19. Countries all over the world have aimed to obtain these vaccines with minimum cost. We consider a set of K-independent Markovian waiting lists. Each list contains a set of countries, where each one of them has an exponential service time and a Poisson arrival process. These companies differ in some characteristics such as the vaccine production cost and the speed of the required quantity delivery. We present a new detection model that helps in providing an appropriate decision to choose a suitable company. Moreover, the concept of balking and the retention of reneged countries is taken into consideration under the quality control process of each waiting list. Under steady state, we face an interesting and difficult discrete stochastic optimization problem. Its solution gives an optimal distribution of the searching effort, which is bounded by a known probability distribution. A simulation study has been derived to get the minimum value of the paid cost random values. The highest service rate, the total expected profit of each queuing system, and the optimum performance measures, which depend on this cost, have been obtained to show the effectiveness of this model.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Detection of an appropriate pharmaceutical company to get a suitable vaccine against COVID‐19 with minimum cost under the quality control process

El–Hadidy

Alfreedi

2021

Quality & Reliability Eng

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“…Thus, the experts in this field divided the search region to a set of states (may be identical or not). In [38][39][40], the search region is divided into a finite set of square and identical cells. The lost target is randomly moving over these 872 OPTIMAL MULTI ZONES SEARCH TECHNIQUE TO DETECT A LOST TARGET BY USING K SENSORS cells.…”

Section: Introductionmentioning

confidence: 99%

“…OPTIMAL MULTI ZONES SEARCH TECHNIQUE TO DETECT A LOST TARGET BY USING K SENSORS Suppose that the probability of undetection (3) is combined with the discounted effort function 0 < δ i js < 1 which used in El-Hadidy [38,39] to develop the final discounted effort reward function:…”

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confidence: 99%

Optimal Multi Zones Search Technique to Detect a Lost Target by Using K Sensors

El–Hadidy¹,

Abou-Gabal²,

Gabr³

2021

Stat., optim. inf. comput.

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This paper presents the discrete search technique on multi zones to detect a lost target by using sensors. The search region is divided into zones. These zones contain an equal number of states (cells) not necessarily identical. Each zone has a one sensor to detect the target. The target moves over the cells according to a random process. We consider the searching effort as a random variable with a known probability distribution. The detection function with the discounted reward function in a certain state and time interval are given. The optimal effort distribution that minimizes the probability of undetection is obtained after solving a discrete stochastic optimization problem. An algorithm is constructed to obtain the optimal solution as in the numerical application.

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A hybrid model based on fuzzy VIKOR and the classical optimal search to detect illegal chemical warehouses

Sotoudeh-Anvari

Sadi‐Nezhad

2022

Journal of Environmental Science and Health, Part A

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The searching algorithm for detecting a Markovian target based on maximizing the discounted effort reward search

Cited by 5 publications

References 32 publications

Detection of an appropriate pharmaceutical company to get a suitable vaccine against COVID‐19 with minimum cost under the quality control process

Detection of an appropriate pharmaceutical company to get a suitable vaccine against COVID‐19 with minimum cost under the quality control process

Optimal Multi Zones Search Technique to Detect a Lost Target by Using K Sensors

A hybrid model based on fuzzy VIKOR and the classical optimal search to detect illegal chemical warehouses

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