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Lecture

Queueing Theory: Definitions, M/M/s/K Queues

Description

This lecture covers the definitions and properties of queueing systems, focusing on M/M/s/K queues. It explains the arrival and service processes, queueing discipline, and performance metrics such as utilization and mean response time.

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Related concepts (31)

Queueing theory

Queueing theory is the mathematical study of waiting lines, or queues. A queueing model is constructed so that queue lengths and waiting time can be predicted. Queueing theory is generally considered a branch of operations research because the results are often used when making business decisions about the resources needed to provide a service. Queueing theory has its origins in research by Agner Krarup Erlang, who created models to describe the system of incoming calls at the Copenhagen Telephone Exchange Company.

Business process

A business process, business method or business function is a collection of related, structured activities or tasks performed by people or equipment in which a specific sequence produces a service or product (serves a particular business goal) for a particular customer or customers. Business processes occur at all organizational levels and may or may not be visible to the customers. A business process may often be visualized (modeled) as a flowchart of a sequence of activities with interleaving decision points or as a process matrix of a sequence of activities with relevance rules based on data in the process.

Business process automation

Business process automation (BPA), also known as business automation, is the technology-enabled automation of business processes. It can streamline a business for simplicity, achieve digital transformation, increase service quality, improve service delivery, or contain costs. BPA consists of integrating applications, restructuring labor resources, and using software applications throughout the organization. Robotic process automation is an emerging field within BPA.

Business Process Execution Language

The Web Services Business Process Execution Language (WS-BPEL), commonly known as BPEL (Business Process Execution Language), is an OASIS standard executable language for specifying actions within business processes with web services. Processes in BPEL export and import information by using web service interfaces exclusively. One can describe Web-service interactions in two ways: as executable business processes and as abstract business processes. An executable business process: models an actual behavior of a participant in a business interaction.

Business process management

Business process management (BPM) is the discipline in which people use various methods to discover, model, analyze, measure, improve, optimize, and automate business processes. Any combination of methods used to manage a company's business processes is BPM. Processes can be structured and repeatable or unstructured and variable. Though not required, enabling technologies are often used with BPM. As an approach, BPM sees processes as important assets of an organization that must be understood, managed, and developed to announce and deliver value-added products and services to clients or customers.

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