# Waiting Line and Queuing Theory Models Essay examples

4889 Words Jul 3rd, 2013 20 Pages
REVISED
M14_REND6289_10_IM_C14.QXD 5/12/08 1:01 PM Page 218

218

CHAPTER 14

WAITING LINE

AND

QUEUING THEORY MODELS

Alternative Example 14.3: A new shopping mall is considering setting up an information desk manned by two employees. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. a. Find the proportion of the time that the employees are idle. b. Find the average number of people waiting in the system. c. Find the expected time a person spends waiting in the system. ANSWER: (servers). a. P
Arrivals Waiting time Service dirty cars or trucks cars in one line (or more lines if there are service parallel wash systems); always FIFO either multiphase (if car ﬁrst vacuumed, then soaped, then sent through automatic cleaner, then dried by hand) or single-phase if all automatic or performed by one person

14-8. The waiting time cost should be based on time in the queue in situations where the customer does not mind how long it takes to complete service once the service starts. The classic example of this is waiting in line for an amusement park ride. Waiting time cost should be based on the time in the system when the entire time is important to the customer. When a computer or an automobile is taken into the shop to be repaired, the customer is without use of the item until the service is ﬁnished. In such a situation, the time in the system is the relevant time. 14-9. The use of Poisson to describe arrivals: a. Cafeteria: probably not. Most people arrive in groups and eat at the same time. b. Barbershop: probably acceptable, especially on a weekend, in which case people arrive at the same rate all day long. c. Hardware store: okay. d. Dentist’s ofﬁce: usually not. Patients are most likely scheduled at 15- to 30-minute intervals and do not arrive randomly. e. College class: number of students come in groups at the beginning of class period; very few arrive during the class or…

## Related Documents

• ###### Theories and Models of Leadership Essay

personal/high production), and in so doing created an unnecessarily “one size should fit all” approach. Simply put, a review of their theories seems to present that High personal and High Production management style is the best, and to be sought after. In response to that apparent rigidity, Hersey and Blanchard introduced the flexibility required to make the model more appealing and potentially more effective, by adding the maturity…

Words: 1328 - Pages: 6
• ###### Decision Model Theory Essay

* Example: The probability of being dealt a club is 0.25. The probability of rolling a 5 on die is 1/6. * In the decision making under risk, the decision maker usually attempts to maximize his or her expected well being. Decision theory models for business problems in this in this environment typically employ two equivalent criteria: maximization of expected monetary value and minimization of expected loss. * Expected monetary value is the weighted value of possible payoffs for each alternative…

Words: 1261 - Pages: 6
• ###### Consumer Theory and Budget Line Essay

Then the equal changes to 3X+Y=120. So the diagram may change to as follow: The budget line shifts out parallel to its self. The area under the new budget line is greater than before as shown by the extra area in brown. e. No, it will not change the market rate of substitution because an increase in budget can only change income, it does not change the price of goods. So the slope of the budget line will not change. Thus, the market rate of substitution in this case will not change. Question…

Words: 829 - Pages: 4
• ###### Rotational Model Theory Examined Essay

its author, Lee begins his analysis of Plato’s model of Nous with a few important qualifications. The first of these is to make it clear that he will not indulge in a cosmological discussion . This alone leaves one with a bit of doubt to his claims, as the texts from which he builds his case are grounded entirely in the question of the teleological coming to be of our universe. The Demiurge of Timaeus constructs the universe in such a way that it models the intelligible Forms. However, the precise…

Words: 3331 - Pages: 14
• ###### Key Models of Management Theory. Essay

Management applied in organisations is McDonald’s, the way McDonald’s applies this aspect of the classical model is by simply looking at how their employees work, no matter which McDonald’s restaurant you are in, the customer service is the same as is the way of preparing the food and this suggests there is one best way to succeed in their business. The second sub-division of the Classical Model is Bureaucracy. Bureaucracy is, according to Boddy (2010), a “system which people are expected to follow…

Words: 1652 - Pages: 7
• ###### Models and Theories of Change Review Essay

involvement of, the people affected by the changes. If you force change on people normally problems arise. Change must be realistic, achievable and measurable. These aspects are especially relevant to managing personal change.  Traditional Leadership Theory: Is concerned with top down leadership in large organizations. Information comes from upper management down to the workers. "Three important leadership traits in virtual team context are discussed: communication competency, environmental alertness…

Words: 1867 - Pages: 8
• ###### The Study of Adult Learning Models and Theories Essay

accepted, respected, and supported (Knowles, 1984). ” Although andragogy remains the best-known model of adult learning, there are a number of other models that offer us some insights into adult learning. One theory is the McClusky’s theory of margin (ASTD, 2007). The second theory is the Illeris three dimensions of learning model. The third model is Jarvis’s learning process (ASTD, 2007). McClusky theory is grounded in the notion that adulthood is a time of growth, change, and integration in which…

Words: 1297 - Pages: 6

Where in the Traditional Models legality is a key element of accountability, in the New Public Management (NPM) result oriented is the main component. It is also the focus of public sector accountability, from input and process orientation shifted to output and outcomes orientation as well as community’s satisfaction. As a consequence, the agency and the person must be able to articulate and report its progress objectively in term of indicators performance. However, according to Callahan (2007)…

Words: 1871 - Pages: 8
• ###### The Relationship of Paradigm, Model, and Theory Essay examples

environment. (Fawcett and Malinski). A model is defined as a representation of reality. It summarizes the elements, process and goals of a practice. Newman as cited in Thibodeau (1983), described a model as “an umbrella with its hub representing the focus of inquiry and the outer points representing major concepts”. Nursing models permits assumptions by nurses regarding their practice and transform it into postulates that can be scientifically tested. An example of a model being used in practice is by Donald…

Words: 763 - Pages: 4
• ###### Financial Accounting Theory: Reducing Balance Method vs. Straight Line Method

complex process of recording, selecting, counting and so on. The procedure involves judgement by professionals on issues including how to value fixed assets, influenced by various factors including self-interest, as evidenced by the Positive Accounting Theory (PAT) by Watts and Zimmerman (1986). It predicts managers’ actions, with the assumption that people are self-driven (Deegan and Unerman, 2011). For instance, the bonus plan hypothesis states that managers will increase the current period income by…

Words: 904 - Pages: 4