Queuing Theory, math Models, Care Resources
Queuing Theory - Queueing theory is the mathematical study of waiting lines, or queues. The theory enables mathematical analysis of several related processes, including arriving at the (back of the) queue, waiting in the queue (essentially a storage process), and being served at the front of the queue. The theory permits the derivation and calculation of several performance measures including the average waiting time in the queue or the system, the expected number waiting or receiving service, and the probability of encountering the system in certain states, such as empty, full, having an available server or having to wait a certain time to be served.
Queueing theory has applications in diverse fields, including telecommunications, traffic engineering, computing and the design of factories, shops, offices and hospitals. The word queue comes, via French, from the Latin cauda, meaning tail. The spelling "queueing" over "queuing" is typically encountered in academic field research. mathematical Models - A mathematical model uses mathematical language to describe a system. The process of developing a mathematical model is termed mathematical modelling (also modeling). Mathematical models are used not only in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines, but also in the social sciences (such as economics, psychology, sociology and political science); physicists, engineers, computer scientists, and economists use mathematical models most extensively.
Eykhoff (1974) defined a mathematical model as 'a representation of the essential aspects of an existing system (or a system to be constructed) which presents knowledge of that system in usable form'.
Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models. These and other types of models can overlap. Care Resources for the young - Childcare, child care, or babycare is the act of caring for and supervising children usually from 0-8 years of age. (In the UK and Australia, day care is referred to as "childcare".) In the United States child care is increasingly referred to as early childhood education due to the understanding of the impact of early experiences of the developing child.
The three main types of child care options for most American working families include in-home care, family child care, and child care centers. Many American working families are two-job households, and this means that childcare is often delegated to childminders or crèches on a full-time or part-time basis.
In-home care typically is provided by nannies, au-pairs, or friends and family. The child is watched inside their or the child carer's home, reducing exposure to outside children and illnesses. Depending on the number of children in the home, in-home care provides the most caregiver interaction.