Job 1 2 3 4 5 6 FCFS Rule Flow Time (hours) verage flow time (FCFS rule): hours
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- An engineering i rm retains a technical specialist to assist four design engineers workingon a project. The help that the specialist gives engineers ranges widely in time consumption.The specialist has some answers available in memory, others require computation,and still others require signii cant search time. On the average, each request for assistancetakes the specialist one hour.The engineers require help from the specialist on the average of once each day. Becauseeach assistance takes about an hour, each engineer can work for seven hours, on the average,without assistance. One further point: Engineers needing help do not interrupt if thespecialist is already involved with another problem.Treat this as a i nite queuing problem and answer the following questions:a. How many engineers, on average, are waiting for the technical specialist for help?b. What is the average time that an engineer has to wait for the specialist?c. What is the probability that an engineer will have to wait…A lab provides ultrasound service to patients. The service process consists of two steps: 1. Registration. Performed by a receptionist (Salary rate = $25/hr; Process time = 6 minutes/patient) 2. Ultrasound scan. Performed by a technician (Salary rate = $30/hr; Process time = 20 minutes/patient) Note that the ultrasound images need to be read by radiologists, but we assume that they have an ample capacity and thus will not model the role in the service process. Currently, the lab has 2 receptionists and 3 technicians. The manager anticipates demand to grow to 14 patients/hr in the near future. Thus, he plans to hire more receptionists and/or technicians to increase the service capacity to at least 14 patients/hr. What would be the extra payroll cost (in dollars per hr)?Consider a business process in which each order that arrives is split into two jobs that are performed in parallel and are then rejoined before leaving the system. Assume no variance in inter-arrival times nor in process times for each task. Each station (depicted by a rectangle) contains one or more identical parallel servers (depicted by circles). Each server is independent of all others and can work on one job at at a time. Process times for individual servers at station A are 5 minutes. Servers at stations B and C have process times of 3 and 6 minutes respectively. Consider the system with one server at each of the stations A and B as before, and two identical parallel servers (each with a 6 minute process time) at station C. What is the system's capacity? What is the cycle time for each order through the entire process flow?
- Katie Posh runs an upscale nail salon. The service process includes five activities that are conducted in the sequence described below. (The time required for each activity is shown in parentheses): Activity 1: Welcome a guest. (1 minute) Activity 2: Clip and file nails. (3 minutes) Activity 3: Paint. (5 minutes) Activity 4: Dry. (10 minutes) Activity 5: Check out the customer. (4 minutes) Three servers (S1, S2, and S3) offer the services in a worker-paced line. The assignment of tasks to servers is the following: S1 does Activity 1. S2 does Activities 2 and 3. S3 does Activities 4 and 5. The drying process does not require server 3’s constant attention; she/he needs to only escort the customer to the salon’s drying chair (equipped with fans for drying). The time to do this is negligible. There exists only one drying chair in the salon. What is the utilization of server 2 (in decimal form)? Assume that there is unlimited demand and that the process only admits customers at the rate…Consider an Erlang loss system. The average processing time is 3 minutes. The average interarrival time is 2 minutes. The number of servers is 4. What is the probability that all servers are busy?The time from when a patient is discharged from NorthShore Hospital to the time the discharged patient’s bed isready to be assigned to a new patient is referred to as thebed assignment turnaround time. If the bed turnaroundtime is excessive, it can cause problems with patient flowand delay medical procedures throughout the hospital. Thiscan cause long waiting times for physicians and patientsthus creating customer dissatisfaction. The admissions RNhas assigned a patient care associate to measure the bedturnaround time for a randomly selected bed each morning,afternoon, and evening for 30 days. Following are the bedturnaround time sample observations:a. Develop an x-chart to be used in conjunction with anR-chart using 3 limits to monitor the bed turnaroundtimes and indicate if the process is in control usingthese charts.b. Is the hospital capable of consistently achieving bedturnaround times of 120 minutes 15 minutes withoutimproving the process?
- AssumMe a customer orders a product online. SupPpose that the product is delivered later in the weEek. The time between the order placement and order delivery is known as: a. waitT time b. queue time c. cycle time d. process timeConsider the problem of assigning multiple jdentical machines to an individual operator for the following situations: the loading and unloading time is 5 minutes, the independent operator activity time is 2 minutes, the independent machine activity time is 15 minutes. (a) How many machines should be assigned so that the operator will not be idle? What is the machine idle time in this case? (b) How many machines should be assigned so that machines will not be idle? What is the operator idle time in this case?Consider doctor’s office: Physician’s have 30 min appointment slots starting at 8 AM to 6 PM Physicians spend 90 min (1.5 hrs.) each day on electronic medical records and 30 min on claims processing/questions related to medical insurance Typically, physicians have 75 percent appointments booked in advance, which leads to frequent cancellations. One out of 6 patients do not show up Even though appointment slots are 30 min, physicians spend on average 23 minutes with patient. Out of those 23 min, say 5 min could be done by nurse How much of physician’s work is value added
- Three jobs are in the queue. The number of tickets each has and the number of seconds of processing time each requires are shown in Table 2. Assume that quanta of CPU time are sufficiently small, and that no other processes get any tickets before the last of these processes complete. For the following questions, please circle the correct answer from the candidate list. Table 2 Using lottery scheduling algorithm, Job # Tickets CPU time turnaround time for Job 1 is 30 10 (a) 20 (b) 25 (c) 30 (d) 35 2 30 15 turnaround time for Job 2 is (a) 20 (b) 25 (c) 30 (d) 35 3 40 10 turnaround time for Job 3 is (a) 20 (b) 25 (c) 30 (d) 35 average turnaround time is (a) 20 (b) 25 (c) 30 (d) 35 When using lottery scheduling algorithm, what is the turnaround time for Job 1, Job 2, and Job 3? And what is the average turnaround time? 1.Mrs. Freddy Mitchell, in her lecture, stated that a transaction processing system (TPS) is software that ensures the completion of business transactions and keeps track of those business transactions. An online transaction processing system (OTPS) is an equivalent system that online merchants use for e-commerce. The TPS ensures that each transaction is successful by storing, sending, and receiving information via a database. She added that because the process is lengthy, it is broken down into cycles, which are broken further into systems and subsystems. Zara- Lee, a participant in Mrs. Freddy Mitchell’s Lecture series, got confused as Mrs. Freddy Mitchell began to elaborate on the many different systems, and Zara- Lee mentioned to YOU that she is experiencing information overload. YOU then responded that Mrs. Freddy Mitchell’s explanation was clear and concise, and YOU would explain the revenue cycle, its components, and the sub-systems that constitute that cycle after class.…The OR is available for 12 hours a day; the hospital has decided to not perform any procedures between 7pm and 7am. This time is equally divided across three surgeons. The standard procedure time for the knee surgery done at the clinic is 1h. The cleaning and housekeeping that needs to happen after each procedure takes 20 minutes. Almost all of this time could be saved if the cleaning crew were notified earlier on. 10 minutes are spent on patient preparation / anesthesia work before each procedure. (Note: this is not part of the 60-minute procedure time). Proposals have been evaluated to move these 10 minutes to outside the OR, and there exists no medical reason that would prohibit doing this.) A surgeon only starts a case if all of the work associated with the case (preparation, procedure, and cleaning) can be completed in the 4h allotted to each surgeon. Surgeons never start BEFORE their allotted time. Though the clinic aims to operate 7 days a week, holidays, vacation, and…