Research ArticleOpen accessIn the abstractKernel Density Estimation for Interdeparture Time of GI/G/1 QueuesHsing Luh, Berlin WuThe departure process of a single queue has been studied since the 1960s. Due to its inherent complexity, closed form solutions for the distribution of the departure process are nearly intractable. In this study, kernel type estimators of the density of interdeparture time in a GI/G/1 queue are studied. Uniform strong consistency of the estimators in a GI/G/1 queue and … …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 6,585 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordAI-Integrated Probabilistic Optimization for Inventory Control Under Stochastic DemandJanardan BeheraThe identification and operationalization of increasingly nonstationary and volatile demand patterns challenge the conduct of inventory management in contemporary supply chains. The classical models, especially EOQ and static policies, rest on the stability of demand assumptions, either deterministically or distributionally, and are hence less apt under real-world uncertainty. In view of these limitations, the present study puts forward an integrated … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 6 May 2026 · 2,217 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordTwister Generator of Random Normal Numbers by Box-Muller ModelAleksei F. Deon, Yulian A. MenyaevTwisting generators of the pseudorandom normal variables can use uniform random sequences as a basis. However, such technique could provide poor quality result in cases where the original sequences have insufficient uniformity or skipping of random values. This work offers a new approach for creating the random normal variables using the Box-Muller model as a basis together with the twisting … …Journal of Computer Science, Vol. 16, Issue 1 · 10 Jan 2020 · 11,556 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordEconomic Ordering Quantity Model with Lead Time Reduction and Backorder Price Discount for Stochastic DemandMing-Cheng LoThis study considered reorder point on the continuous review inventory model under controllable lead time with mixture of backorder price discounts and partial lost sales. We developed a continuous review inventory model where the lead time, the order quantity, backorder discount and safety factor were considered as the decision variables of a mixture of backorders and lost sales inventory model. … …American Journal of Applied Sciences, Vol. 6, Issue 3 · 31 Mar 2009 · 7,018 accessesView PDFCite