OPERATIONS MANAGEMENT
2nd Edition
ISBN: 9781260238877
Author: CACHON
Publisher: RENT MCG
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Chapter 17, Problem 4CQ
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To determine: Relationship between implied utilization and utilization in best described in which of the following?
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If the arrival rate doubles and the number of servers doubles, what is the changein the system’s utilization, assuming there are no other changes (e.g., the processing timeand the coefficients of variation remain the same)?A. Utilization increases.B. Utilization remains the same.C. Utilization decreases.D. It is not possible to determine how those changes will influence utilization.
Which of the following statements about Prof. Eric Bradlow's talk on "clumpiness" is correct?
A: Customers who come in bursts then go away again and again are not profitable.
B: Clumpiness is a new metric which replaces for one of RFM metrics.
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D: Looking at recency, frequency, and monetary value in historical customer data basically ignores the inter-arrival times.
A small town with one hospital has 4 ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends average 0.70 per hour and tend to be Poisson-distributed. Travel and assistance time averages 2.50 hours per call and follows an exponential distribution Use Table 1. a. Find system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) System utilization % b. Find the average number of customers waiting. (Round your answer to 3 decimal places.) Average number of customers c. Find the average time customers wait for an ambulance. (Round your answer to 3 decimal places.) Average time hour d. Find the probability that all ambulances will be busy when a call comes in. (Round intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Probability
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- Give typed explanationarrow_forwardIn a job shop, effective capacity is only 79 percent of design capacity, and actual output is 53 percent of effective output. What design capacity would be needed to achieve an actual output of 11 jobs per week? What is its effective capacity? a. The Design Capacity needed to achieve the required actual job outputs Blank 1 (round to whole number) b. The Effective Capacity needed to achieve the required actual job outputs = Blank 2 (round to whole number) Blank 1 Add your answerarrow_forward(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?arrow_forward
- Shopper enter Parck place mall at an average of 120 per hour. What is the probability that at least 25 shoppers will enter the mall between 5 o’clock and 5:10 PM? A. 0 B. 0.157 C. 0.112 D. 0.5 Using poisson.dist Define event x = Mean = Interval = / Define the new event X New Mean = New interval F(x) Use the poisson formula on spreadsheetarrow_forwardWhich of the following is NOT a type of cost of providing service? A. Adding an additional server B. Having standby personnel if the line gets long C. A customer leaving a line because it is too long D. Having an old machine available to accommodate backlogged ordersarrow_forwardWhen you are connected to a representative, it will be, with equal probability, somebody from the billing department, customer retention department, or marketing department. When talking to a billing representative, the time until the issue is resolved is distributed uniformly from 10 to 20 minutes. Customer retention specialist will resolve you issue in exactly 2 minutes. Marketing person will first discuss with you promotions and new offers (this time will be normally distributed with average 10 minutes and standard deviation 2 minutes) and then transfer you to a new representative, who will, again be from one of the three departments with equal probability. What is the expected time that you will spend on the phone?arrow_forward
- If a manager increases server utilization (assuming no change in the customer arrival rate) what happens to the customer waiting time? Select one: a. It increases proportionally. b. It increases exponentially c. It decreases exponentially. d. It decreases proportionally. e. utilization has no effect on waiting time.arrow_forwardA company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labour content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 100 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour while output increased by 20 carts per hour. a. The labor productivity under the old system is Blank 1. Fill in the blank, read surrounding text. and the new system is Blank 2. Fill in the blank, read surrounding text. carts per worker per hour. b. Compute the total factor productivity under each of the systems. Old system Blank 3. Fill in the blank, read surrounding text.arrow_forwardSubject - account Please help me. Thankyou.arrow_forward
- [Queuing Theory - Operation Research] RBMC Industry manufactures a special printing according to customer specifications with respect to the number of sheets the machine can produce per hour. With this, there is a $50 increase in the production rate x. A shop owner is considering buying one of these machines. From his past experiences, the owner estimates that the arrival rate is three per hour and each order averages 500 sheets. Contracts signed by the owner, and the customer says that there will be a penalty of 10$ per late order per hour. It is assumed that the actual production time is exponential. (a) Formulate the cost model as a function of the production rate x. (b) Determine the optimal production rate the owner should specify in his purchase of the machine from RBMC. Hint: Get the derivative of the cost function.arrow_forwardIn a queuing model which follows the single server operation has ? = 2 and ? = 8. The evrage number in the system Ls is ____ and the utilization of the system is ____ a. 0.33 ; 25% b. 3 ; 100% c. 6 ; 25% d. 4 ; 33%arrow_forwardIn an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 6 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) d. What is the expected number of customers in the queue(La)? < Prev 2 of 5 Next raw lillarrow_forward
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