Detection Model With a Maximum Discounted Effort Reward Search to Maintenance a Best Decision Under the Quality Control Process

  • Mohamed El-Hadidy Mathematics Department, Faculty of Science, Tanta University,
  • M. Fakharany Mathematics and Statistics Department, College of Science, Taibah University
Keywords: Quality control process, Optimization, Detection model, Steady-state probability

Abstract

This paper aims to get a needed service by making the best decision of choosing one suitable company (queue) from K − independent Markovian queues (companies). The customers arrive at each queue according to a Poisson process. The service time of each customer has an exponential distribution. In a steady-state, the best decision depends on the minimum cost of detecting the suitable company which provides the best service with high speed (maximum service rate). To minimize the detection cost and maximize the probability of detection, we consider the search effort bounded by a Gaussian distribution as a function with a discounted parameter. The effectiveness of this model appears in a simulation study and the comparison with other models.

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Published
2022-02-20
How to Cite
El-Hadidy, M., & Fakharany, M. (2022). Detection Model With a Maximum Discounted Effort Reward Search to Maintenance a Best Decision Under the Quality Control Process. Statistics, Optimization & Information Computing, 10(3), 935-948. https://doi.org/10.19139/soic-2310-5070-1368
Section
Research Articles