Showing 3 results for Poisson
Mahdi Karbasian, Zoubi Ibrahim,
Volume 21, Issue 2 (5-2010)
Abstract
This expository article shows how the maximum likelihood estimation method and the Newton-Raphson algorithm can be used to estimate the parameters of the power-law Poisson process model used to analyze data from repairable systems .
Mostafa Hajiaghaei-Keshteli, Majid Aminnayeri,
Volume 23, Issue 4 (11-2012)
Abstract
In this paper, the cost function for a three-echelon inventory system with two warehouses is derived. Transportation times are constant and retailers face independent Poisson demand. Replenishments are one-for-one. The lead time of a retailer is determined not only by the constant transportation time but also by the random delay incurred due to the availability of stock at the warehouses. We consider two warehouses in the second echelon which may leads to having more delays which were incurred in the warehouses and facing different behaviors of independent Poisson demands. Because the replenishment policy is base stock, the obtained function can also be used in different ordering policies to compute the inventory holding and shortage costs.
Kaviyarasu Velappan, Nagarajan Arumugam,
Volume 37, Issue 2 (6-2026)
Abstract
The quality of pharmaceutical devices determines an entity's effectiveness in fulfilling its intended functions for patients. Statistical quality control entails the utilization of statistical methodologies to oversee and enhance the quality of processes and products. In the realm of the pharmaceutical industry, Reliability Acceptance Sampling Plans (RASP) entail inspecting a sample of items to ascertain whether the entire batch adheres to prescribed quality benchmarks, thereby curbing inspection expenses while upholding quality assurance of medical devices. The special Type of Double Sampling (STDS) plan constitutes a subset of reliability acceptance sampling plans that employ dual sampling stages to ascertain the batch acceptance or rejection of products or materials. This article develops a new methodology by employing the Special Type of Double Sampling plan under Exponential–Poisson (EP) distribution for the mean life when the product life test is truncated at a specified time.t0 ’. The minimum sample size ‘n’ required to guarantee the attainment of the designated mean life ‘β0 ’ within a predetermined consumer's risk. The Operational Characteristic (OC) function values are acquired based on varying tiers of quality and the minimum mean ratio of the real mean lifetime.β ’ to the designated mean lifetime ‘β0 ’ under the designated producer's risk are developed. Moreover, to enhance the comprehension of the proposed methodology, a numerical illustration accompanied by a real-world scenario that is applicable to the pharmaceutical industry is presented.
