該雜志的主要重點是在物理和工程科學的隨機建模，特別強調排隊理論，可靠性理論，庫存理論，仿真，數學金融和概率網絡和圖表。分析性質和相關學科的論文也被考慮，以及更多的應用和計算概率的一般論文，如果合適的話。讀者包括從事統計、運籌學、計算機科學、工程學、管理科學和物理科學的學者，以及從事電信、計算機科學、金融工程、運籌學和管理科學的工業實踐者。

The primary focus of the journal is on stochastic modelling in the physical and engineering sciences, with particular emphasis on queueing theory, reliability theory, inventory theory, simulation, mathematical finance and probabilistic networks and graphs. Papers on analytic properties and related disciplines are also considered, as well as more general papers on applied and computational probability, if appropriate. Readers include academics working in statistics, operations research, computer science, engineering, management science and physical sciences as well as industrial practitioners engaged in telecommunications, computer science, financial engineering, operations research and management science.