Asssume customers can always enter the waiting line
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A mail order firm has one customer service representative. On average, one potential customer call CSD every four minute. The customer service representative requires on average 2 minutes to serve a customer. Both arrival and service time have a coefficient of 1. (a) if the firm has to pay 5 cents for every minute of waiting for each customer, how much money the firm has to spend in a 8 hour period? Asssume customers can always enter the waiting line
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- Please do not give solution in image format thanku There are approximately 300 customers shopping in Fackert Department Store in Mexico City between 9 A.M. and 5 P.M. on Saturdays. All those entering the store will make purchases. When deciding how many cash registers to keep open each Saturday, owner Susanna Fackert considers 2 factors: customer waiting time (and the associated waiting cost) and the service costs of employing additional checkout clerks. Checkout clerks are paid an average of $4 per hour. When only 1 is on duty, the waiting time to checkout per customer is about 10 minutes (or 1/6 of an hour); when 2 clerks are on duty, average waiting time is 6 minutes per person; 4 minutes when 3 clerks are working; and 3 minutes with 4 clerks. Ms. Fackert has conducted customer satisfaction surveys and has been able to estimate that the store suffers approximately $5 in lost sales and goodwill for every hour of customer time spent in line waiting to checkout. Using the information…Please do not give solution in image formate thanku. The manager of the Safeway store (close to Santa Clara University) is considering improving the customer service level by reducing customers’ average waiting time for checkout. Based on the past year’s data, he knows that customers try to check out every 2 minutes, on average, and the standard deviation of the interarrival time is also 2 minutes. It takes on average 3 minutes to finish the checkout process. The standard deviation of the processing times is 3 minutes. The manager’s goal is to make sure the customers’ average waiting time is less than 0.5 minute. How many checkout cashiers should the manager use?Please do not give solution in image format thanku Management of High Tech Services (HTS) would like to develop a model that will help allocate their technicians' time between service calls to regular contract customers and new customers. A maximum of 80 hours of technician time is available over the two week planning period. To satisfy cash flow requirements, at least $800 in revenue (per technician) must be generated during the two week period. Technician time for regular customers generates $25 per hour. However, technician time for new customers only generates an average of $8 per hour because in many cases a new customer contact does not provide billable services. To ensure that new customer contacts are being maintained, the technician time spent on new customer contacts must be at least 60% of the time spent on regular customer contacts. Given these revenue and policy requirements, HTS would like to determine how to allocate technician time between regular customers and new…
- A manufacturing facility stores spare parts for maintenance in a storage facility. Throughout theworking day, manufacturing personnel go to the storage facility to pick up supplies needed for theirjobs. The storage facility employees receive a request for supplies, on average, every five minutes fromthe manufacturing personnel. The average request requires 3.2 minutes to fill a request. Manufacturingpersonnel are paid $29.50 per hour and storage facility employees are paid $18.75 per hour. The storagefacility operates 8 hours per day. Base your costs on an 8-hour workday, the given arrival and servicerates, and the fact that when the manufacturing personnel are at the storage site picking up parts – theyare unable to complete their normal job in manufacturing.a) What is the system cost per day (to the nearest $) if there is only 1 storage facility employeeworking?b) What is the system cost per day (to the nearest $) if there are 2 storage facility employeesworking?c) What is the system…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.(Requires the use of a spreadsheet or LINGO) USAirlines receives an average of 500 calls per hour fromcustomers who want to make a reservation (time betweencalls follows an exponential distribution). It takes an averageof 3 minutes to handle each call. Each customer who buys a ticket contributes $100 to US Airlines profit. It costs $15per hour to staff a telephone line. Any customer who receivesa busy signal will purchase a ticket on another airline. Howmany telephone lines should US Airlines have?
- A server operates with 70% utilization. The coefficient of variation for the service process is 0.6 and the coefficient of variation of the arrival process is 1. The average processing time is 3 minutes. What is the average time a customer spends in the system according to the single-server queue model? A. 9 minutes B. 6 minutes C. 3 minutes D. 7.5 minutes Consider an Erlang loss system. The average processing time is 6 minutes. The average interarrival time is 3 minutes. The number of servers is 9. What is the capacity of the system? A. 0.8 customers per minute B. 1.5 customers per minute C. 1.1 customers per minute D. 2.4 customers per minuteAnalyze the following queueing management sysytem 1- traffic intensity of 0.3 in queueing system 2- The average time spends in the system =0.036 3-The average number of the customer in the system 0.43In 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.) d. What is the expected number of customers in the queue (Lq)? Number of customers (queue) e. What is the expected waiting time (in hours) in the queue (Na)? Waiting time (queue)
- . 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 Lym(Please do not give solution in image format thanku) A single Automated Teller Machine (ATM) is located on the ground floor of a popular shopping mall. Service time at this machine is exponentially distributed. On average, the ATM machine can serve a customer in 3 minutes. Customer arrivals at the machine are Poisson distributed, with an average of 15 customers an hour. Relevant formulas to analyze this M/M/1 model are available in your textbook. What percent of the time is this machine idle? 25% 0% 75% 50% 100%The Decision Sciences Department is trying todetermine whether to rent a slow or a fast copier. Thedepartment believes that an employee’s time is worth$15 per hour. The slow copier rents for $4 per hour,and it takes an employee an average of 10 minutes tocomplete copying. The fast copier rents for $15 per hour,and it takes an employee an average of six minutes tocomplete copying. On average, four employees per hourneed to use the copying machine. (Assume the copyingtimes and interarrival times to the copying machineare exponentially distributed.) Which machine shouldthe department rent to minimize expected total cost perhour?