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Showing posts with the label operations research

PERT and CPM

PERT and CPM Introduction Network scheduling is a technique used for planning and scheduling large projects in the fields of construction,maintenance, fabrication,purchasing,computer system installation,research and development designs ,etc.The technique is a method of minimizing trouble spots,such as,production bottlenecks,delays and interruptions,by determining critical factors and coordinating various parts of overall job. There are two basic planning and control techniques that utilize a network to complete a pre-determined project or schedule.These are: Program Evaluation and Review Technique(PERT); and the Critical Path Method (CPM). Network: Basic components A network is a graphic representation of a project's operations and is composed of activities and events that must be completed to reach the end objective of a project.The basic components of a network are: Activity :  An activity is a task,or item of work to be done,that consumes time,effort, money

Queuing Theory

Queuing Theory A flow of "customers" from infinite/finite population towards the service facility forms a queue or waiting line on account of lack of capability to serve them all at a time.These "customers" may be persons waiting at a railway booking office,these may be machines waiting to be repaired or letters arriving at a typist's desk. Queuing Theory is the mathematical study of waiting lines,or queues.It examines every component of waiting in line to be served, including the arrival process, service process, number of servers, number of system places and the number of customers. It is used to develop more efficient queuing systems that reduce customer wait times and increase the number of customers that can be served. Applications Queuing theory has its origins in research by Agner Krarup Erlang when he created models to describe the Copenhagen telephone exchange. The ideas have since seen applications including telecommunications, traffi