INTRODUCTION
1.1 DESCRIPTION OF QUEUEING THEORY
Queueing Theory is the branch of applied probability theory which serves to study service prone to congestion. A queueing system can be defined as the customers arriving for the service, wait for the service and leaves the system after being served. The following are the following basic characteristics of queueing system
1.2 ARRIVAL PATTERN OF THE CUSTOMER
It is also known as input process. It can be defined as the process of arrival of customers in the system.The arrival pattern in queueing system is measured by the mean arrival rate or mean inter-arrival time.
1.3 SERVICE PATTERN OF SERVER
Service pattern is defined by the number of services per unit time or service rate. Service may be single or in batches. If there are infinite numbers of services then all the customers served instantaneously on the arrival and there will be no queue. If the number of services is finite, then the customers are served according to the specific order. Further the customer may be served in batches of fixed size or of variable size rather than individually by the same server, such as computer with parallel processing of people boarding in a bus. The service system in this case is termed as bulk service.
1.4 QUEUE DISCIPLINE
Queue Discipline refers to the rule by which customers are selected for service when a queue is formed. There are different ways by which a customer can attain the service. Most often practiced queueing system is FIFO (first in first out) in this type customers are served in the strict order in which they arrive.
Other queue rule is LIFO (last in first out) in this customer who enters last in the system is served first. Other discipline is SIRO (selection of ...
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...s are shown.
Markov Process
A Markov process is a stochastic (random) process in which the probability distribution of the current value is conditionally independent of the series of past value, a characteristic called the Markov Property .i.e. the future of a process does not depend on its past, only on its present
Markov property: the conditional probability distribution of future states of the process, given the present state and all past states, depends only upon the present state and not on any past states.
We determined various performance measures using recursive method and matrix method. Various probabilities are found out by using recursive method and performance measure are determined by matrix method using computer language MATLAB. Hence, with the help of these probabilities queue size has been determined and various applications have been discussed.
We all have to do it. It might be for coffee, for a ride at the amusement park, or for the Deadpool movie (longest line ever). Standing in line is, quite frankly, one of the most boring activities that one could have the misfortune of having to partake in. It takes too long, and sometimes the promised reward ends up a disappointment, or worse, unavailable. But what keeps people sane when they are forced to queue (sometimes for hours on end) is the knowledge that everyone else must wait too. Unless, of course, there was a way to circumvent that process. It’s almost universally agreed upon that cutting in line is unethical, but what about paying someone to stand in for you, or even paying to skip the queue?
“Oh beware my lord of jealousy! It is the green-eyed monster that doth mock the meat it feeds on - William Shakespeare. Shakespeare proposes that jealousy is the one thing that destroys the person’s life on which it feeds. In Morley Callaghan’s “Watching and Waiting” the protagonist, Mr.Hillard, is a skeptical young man who is jealous of the men his wife spends time with, and so tends to spy on her. Eventually, his jealousy reaches such an extent that he sneakingly enters his own house, and his wife mistaking him for a stranger kills him. Thus showing how “jealousy mock[s] the meat on which it feeds” as in this case jealousy symbolically mocked Mr.Hillard’s life. Morley Callaghan’s “Watching and Waiting”
QoS – Quality of Service - is the overall performance of a telephony or computer network, particularly the performance seen by the users of the network.
This quality and consistency is delivered with what WestJet calls "On-time Performance." WestJet's definition of on time is "an arrival within 15 minutes of scheduled arrival at gate" (On-Time Performance), and this performance is posted bi-monthly on the WestJet website. This posting, not required by Canadian legislation and one of its kind in the airline industry, shows WestJet's commitment, over competitor a...
event such as a sequence of numbers as produced by a random event generator. The
events that repeats itself over and over again unchanged, usually, for an indefinite amount of time. This
Setup early warning system to inform customer about a potential stock out and supplier about a delayed order from CMO. This will help in reducing stock out situations.
Customer service is valued as a competitive tool by many organisations. It gives you the ability to gain customer loyalty while meeting the customer’s expectations. Staff will have many skills and knowledge that will provide a competitive edge. Most organisations are known for the quality of their customer service. This means that they are known for good customer service or poor customer service. However, being known for good customer service will attract customers. It will also attract customers who are usually hard to reach.
Order winning criteria enables the company’s products to gain an advantage over their competitors in customers view. Winning orders through the price, delivery, Customer service, flexibility and quality.
Students have been complaining about the long wait times at the cafeteria. I observed and collected data on customer traffic in the cafeteria. The cafeteria is most inefficient during the rush hour, 5:00pm-6:30pm, however breakfast and lunch hours do not experience the same type of rush. The long lines of the pre-cooked meals, interactive meals and cashiers have interrupted service to other areas of the cafeteria such as the drink and the salad bar stations. The data collected during the rush, located in Appendix A, indicates the entrance arrival times of each student, the service time of the cashier, precooked, and interactive lines.
Over the past few years, the increasing dynamism and competition in the business operating environment has led to a lot of changes in how the companies conduct themselves with respect to its customers. Customers being the focal point of revenue; manufacturers are increasingly taking interest in being focused on customer satisfaction by delivering the products and services on time.
Temporal pattern- This is a defined segment of signals that recur frequently in a temporal signal sequence. Temporal signal sequences could be the movements of head, hand, body or a piece of music etc. Patterns involving body movements represent the habit of a person.
Chase, R. and Apte, U. (2007). A history of research in service operations: What's the big idea?.Journal of Operations Management, 25(2), pp.375--386.
Key Resources of this industry include the automation equipment such as the point of sales system that manages the ordering system from customer to kitchen (Chua, 2015). Self-ordering kiosk are made available to some outlets to reduce queuing and waiting time.