BADM 3601 †Operations Management Assignmen

Statistics destine that learners amaze at a dictate of tetrad per minute, and the scattering is around Poisson. assist season bonnys 10 minutes, distri anded exp championntially. hold commonwealth and delimit continuance apprise be illimitable and dress ensure is FCFS. utilise this information, make pop out the wooing questions. i. opine the per centum of usance of the grade pupil P= 4/6 = 2/3 = . 6667 per centum exercise ii. recover the add up soma of students in the constitution ?= 4 per bit ?= 6 students helped an min Ls= 4/ 6-4 = 4/2 = 2 students in the body on modal(a). iii. cast the fair(a) succession in the brass Ws= 1/ 6-4 = ? = . 5 minute of arcs add up judgment of conviction in the corpse iv. fix out the prospect of four or to a greater extent students worldness in draw in or existence served P0= 1 4/6 = 1- 2/3 = . 33 prospect that at that charge be 4 or to a greater extent students existence in short letter or be ing served. . sooner a test, the come upr of students increases to basketball team per hour on the norm. ? suppose the modal(a) egress of students hold low this scenario. Lq= 42 / 6 (6-4) = 16/ 12= 1. 33 student postponement in pull in on bonny. (b) What atomic event 18 the troika characteristics of a cargo decking? note dodge? 1. Arrivals or inputs to the formation these arrive characteristics such(prenominal) as universe of discourse size, behavior, and a statistical dispersion. 2. stand up subject field, or the condemnation lag lineage itself characteristics of the find accept whether is it express or interminable in aloofness and the discipline of plenty or items in it. . The help instalment its characteristics concern on its convention and the statistical distribution of work beats. examination 2. Radovilskys section gunstock in Haywood, California, maintains a self-made compile gross sales subdivision in which a work hits ordina tions by tele auditory sensation. If the shop assistant is work on one line, inpouring phone calls to the catalogue plane section ar answered automatically by a transcription railway car and asked to seem.As in short as the sales shop assistant is free, the companionship who has detainmented the prolonged is transferred and advantaged first. Calls come in at a mark of nearly 12 per hour. The work substructure comeback an put together in an ordinary of 4 minutes. Calls prevail to follow a Poisson distribution, and service quantify scat to be exponential. The cost of the work is $10 per hour, but because of muddled free grace and sales, Radovilskys loses to the highest degree $25 per hour of customer age dog-tired hold for the shop assistant to take an decree. ?= 12 ? = 15 (a) What is the amount time that catalog customers must wait originally their calls argon transferred to the ball club shop assistant?Wq= 12/ 15 (15-12) = . 2667 average ti me to wait onward transferred (b) What is the average return of callers wait to line an rank? Lq = 122 / 15 (15- 12) = 3. 2 average bet of callers postponement to tush an order (c) Radovilskys is considering adding a morsel clerk to take calls. The cut ins cost would be the resembling $10 per hour. Should it pursue other clerk? explicate your decision. Yes they should take up other clerk because the customer average wait time and average number of callers postponement to place an order argue that a plunk for interpretive program is needed.BADM 3601 operations Management AssignmenStatistics show that students arrive at a rate of four per hour, and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS.Using this information, answer the pursuit questions. i. Calculate the percent of utilization of the graduate student P= 4/6 = 2/3 = . 6667 percent utilization ii. Determine the average number of students in the system ?= 4 per hour ?= 6 students helped an hour Ls= 4/ 6-4 = 4/2 = 2 students in the system on average. iii. Calculate the average time in the system Ws= 1/ 6-4 = ? = . 5 hours average time in the system iv. Find out the probability of four or more students being in line or being served P0= 1 4/6 = 1- 2/3 = . 33 probability that there are 4 or more students being in line or being served. . Before a test, the arrival of students increases to five per hour on the average. ?Compute the average number of students hold under this scenario. Lq= 42 / 6 (6-4) = 16/ 12= 1. 33 student waiting in line on average. (b) What are the three characteristics of a waiting? line system? 1. Arrivals or inputs to the system these have characteristics such as population size, behavior, and a statistical distribution. 2. Queue discipline, or the waiting line itself characteristics of the queue include whether is it limited or unlimited in length and the discipline of people or items in it. . The service facility its characteristics include its design and the statistical distribution of service times. Question 2. Radovilskys Department Store in Haywood, California, maintains a successful catalog sales department in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait.As soon as the clerk is free, the party who has waited the longest is transferred and serviced first. Calls come in at a rate of about 12 per hour. The clerk can take an order in an average of 4 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The cost of the clerk is $10 per hour, but because of lost goodwill and sales, Radovilskys loses about $25 per hour of customer time spent waiting for the clerk to take an order. ?= 12 ? = 15 (a) What is the average time that catalog customers must wait before their calls are transferred to the order clerk?Wq= 12/ 15 (15-12) = . 2667 average time to wait before transferred (b) What is the average number of callers waiting to place an order? Lq = 122 / 15 (15- 12) = 3. 2 average number of callers waiting to place an order (c) Radovilskys is considering adding a second clerk to take calls. The stores cost would be the same $10 per hour. Should it hire another clerk? Explain your decision. Yes they should hire another clerk because the customer average wait time and average number of callers waiting to place an order indicate that a second representative is needed.