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- The likely be used to describe the distribution of time between arrivals of customers at the grocery store. Multiple Choice O O distribution would most O O normal uniform binomial exponentialAssume that during minute t (the current minute isminute 1), the following sequence of events occurs: (1) Atthe beginning of the minute, xt customers arrive at the cashregister; (2) the store manager decides how many cashregisters should be operated during the current minute;(3) if s cash registers are operated and i customers arepresent (including the current minute’s arrivals), c(s, i)customers complete service; and (4) the next minute begins.A cost of 10¢ is assessed for each minute a customerspends waiting to check out (this time includes checkouttime). Assume that it costs c(s) cents to operate s cashregisters for 1 minute. Formulate a dynamic programmingrecursion that minimizes the sum of holding and servicecosts during the next 60 minutes. Assume that before thefirst minute’s arrivals, no customers are present and thatholding cost is assessed at the end of each minute.The manager of a call center recorded the volume of calls received between 9 and 10 a.m. for 21 days and wants to obtain a seasonal index for each day for that hour. Day Volume Day Volume Day Volume Tues 67 Tues 60 Tues 64 Wed 75 Wed 73 Wed 76 Thurs 82 Thurs 85 Thurs 87Fri 98 Fri 99 Fri 96 Sat 90 Sat 86 Sat 88 Sun 36 Sun 40 Sun 44 Mon 55 Mon 52 Mon 50?
- suppose tht a queueing system has two identical servers, and an exponential service-time distribution with a mean of 1/u=10minutes. furthermore, a customer has just arrived to find two in the system. how long would you expect him to wait before being able to start service? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Provide instead: 3 Positive and 3 negative outcomes for forecasting 3 Positive and 3 negative outcomes for queuing model1.) In cell C19, insert a formula that will calculate the projected advertising spending after the forecasted increase in cell A18 is added to the 2019 total. Ensure that the reference to cell A18 is an absolute cell reference. ^What is the Formula? 2.) Copy the formula and formatting in cell C19 to the range D19:F19
- Customers arrive at a bank counter at an average rate of 3customers per hour.a) Suggest a suitable distribution to model the number ofcustomers arriving at the counter, X, per minute.b) State clearly any assumptions you have made by suggestingthis model.c) Using your model,I. Find the probability that no customer arrive in a givenminute.II. Find the probability that at most 4 customers arrive in agiven minute.III. In any given 4 minutes period, find ? such that?(? > ?) = 0.0487.IV. Check the answer of part I and part ii using RStudio.A. Know some of the basic queue performance measure B. Identify the relationships between queues and some statistical distributionIn an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) a. What is the utilization? Utilization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected waiting time (in hours) for the system (W)? Waiting time(in hours)
- . For the MyMy1 queueing model, why do the following results hold? (Hint: Remember that 1ym is the meanservice time. Then think how long a typical arrival must wait in the system or in the queue.) a. W 5 (L 1 1)ym b. WQ 5 Lym3 polling will not be the correct answer, Please answer in ABCD formatWhat do we mean by the term queue discipline?o Queue discipline refers to how people should behave in a queue.o Queue discipline refers to the study of queues and waiting lines.o Queue discipline refers to policies for deciding the order of receiving service byarrivals.o Queue discipline refers to removing customers from a queue when they misbehave.