1 / 12

APPLICATION OF QUEUING THEORY TO WASHU DINING

APPLICATION OF QUEUING THEORY TO WASHU DINING. Presented by: Rohit Ray and Antonia Ferguson. INTRODUCTION. Village Dining Area 5 food areas Grill Stir fry Specialty Salad/Deli Grocery One or two cash registers open. IS THE CHECKOUT METHOD THE MOST EFFICIENT?.

sabin
Download Presentation

APPLICATION OF QUEUING THEORY TO WASHU DINING

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. APPLICATION OF QUEUING THEORY TO WASHU DINING Presented by: Rohit Ray and Antonia Ferguson

  2. INTRODUCTION • Village Dining Area • 5 food areas • Grill • Stir fry • Specialty • Salad/Deli • Grocery • One or two cash registers open

  3. IS THE CHECKOUT METHOD THE MOST EFFICIENT? • Should both cash registers be open? • Would it be more efficient for there be cash registers at each food station?

  4. QUEUING THEORY • Agner Krarup Erlang • Published first paper on queuing theory in 1909 • Mathematical study of wait lines • Allows for mathematical analysis of several related processes • Arrival • Weighting in line • Being served • Calculates • Average weight time in line • Number of people in line • Probability waiting a certain time to be served

  5. Queuing Theory Continued • Many applications to everyday life • McDonalds vs. Taco Bell • Has been used to reduce time in: • Hospital wait rooms • Airports • Supermarkets • Printing queue

  6. POISSON DISTRIBUTION Poisson Distribution Equation: • Queuing Theory is a Poisson distribution • Continuous limit of the discrete binomial distribution • Four requirements • ability to divide the time interval into subintervals • Probability of occurrence remains constant throughout interval • Probability of the same occurrence in a subinterval is small enough to be discarded • Occurrences are independent

  7. POISSON CONTINUED • For one cashier the probability is 1/λ • Two cashiers 1/2λ

  8. OUR PROCESS • Determine the probability of a customer choosing a station • Determine the food preparation time • Determine the average number of people entering the Village Dining area • MATLAB

  9. One Open Cash Register ave_service_time = 0.8736 ave_wait_time = 19.4549 ave_total_time =19.9618

  10. Two Cash Registers Open ave_service_time =0.7215 ave_wait_time =11.9748 ave_total_time =12.3420

  11. Cash Register at Each Station ave_service_time = 0.8599 ave_wait_time = 21.2689 ave_total_time =21.8126

  12. Conclusion • Two cash registers are faster than one • Cash registers at each station cause longer waiting times • The wait could be shorter with a queue line

More Related