What is the drum, buffer and rope concept that comes from the theory of constraint? (Eli goldratt)
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What is the drum, buffer and rope concept that comes from the theory of constraint? (Eli goldratt)
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- Problem 2-4 (Algo) A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 5 workers, who together produced an average of 80 carts per hour. Workers receive $12 per hour, and machine cost was $30 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour, while output increased by 5 carts per hour. a. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. (Round your answers to 3 decimal places.) Before After b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. (Round your answers to 3 decimal places.) Before After carts per worker per hour carts per worker per hour Labor productivity…Considering the concept of constraint management, what are a few of the challenges of managing bottlenecks in manufacturing processes OR service processes. What are the necessary actions needed to identify and relieve these bottlenecks.WhatYouNeed is an online retailer with operations in Northern Indiana. Their network includes five big warehouses. All of the warehouses are fully automated: packaging is performed by robots on top of electric conveyors. Although the company has saved a lot in labor costs by the use of this packaging line, it has resulted in some excessive waste of material. After some analysis of this waste issue, the company has discovered that the number of product types that are assigned to the packaging line is strongly correlated with the amount of wasted material. Based on this insight, their operations manager has built a mathematical expression that estimates the expected amount of waste from the packaging line as a function of the number of product types in it. The expression is as follows: W = (n-93)2 – (n-88) + 227 In this expression, n is the number of product types you are packing on the line and W is the hourly waste of packaging material (in lbs). Based on this expression, what is the…
- Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called DataWish. Each computer runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each computer for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would bel units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (p) Performance Measures c. If we assign a cost of waiting as $500 per week per computer and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the machines? PO (probability that sytem is empty) % dollars L (average units in system) units d. If DataWish decides to hire another individual to help Leia, what would the new Total Time Cost per…Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called DataWish. Each computer runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each computer for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (p) % Performance Measures PO (probability that sytem is empty) L (average units in units system) La (average units waiting in queue) units W (average time in the weeks system) Wq (average time in the queue) weeks c. If we assign a cost of waiting as $500 per week per computer and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the…WhatYouNeed is an online retailer with operations in Northern Indiana. Their network includes five big warehouses. All of the warehouses are fully automated: packaging is performed by robots on top of electric conveyors. Although the company has saved a lot in labor costs by the use of this packaging line, it has resulted in some excessive waste of material. After some analysis of this waste issue, the company has discovered that the number of product types that are assigned to the packaging line is strongly correlated with the amount of wasted material. Based on this insight, their operations manager has built a mathematical expression that estimates the expected amount of waste from the packaging line as a function of the number of product types in it. The expression is as follows: W = (n-93)2 – (n-88) + 227 In this expression, n is the number of product types you are packing on the line and W is the hourly waste of packaging material (in lbs). Based on this expression, how much will…
- Problem 2-4 A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 5 workers, who together produced an average of 70 carts per hour. Workers receive $11 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 $11 per hour while output increased by 6 carts per hour. a. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. (Round your answers to 3 decimal places.) Before carts per worker per hour After carts per worker per hour b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. (Round your answers to 3 decimal places.) Before carts/dollar cost After carts/dollar…(Adapted from Solved Problem 2, p610) Joe’s Auto Seat Cover and Paint Shop is bidding on a contract to do all the custom work for Smiling Ed’s used car dealership. One of the main requirements in obtaining this contract is rapid delivery time, because Ed for some reasons wants the cars face lifted and back to his lot in a hurry. Ed has said that if Joe can refit and repaint the five cars, which Ed has just received, within 60 hours or less i.e., start on 5/14 Friday 8am, to complete by 5/16 Sunday 8pm) the contract will be his. Following the time (in hours) required in the refitting shop and the paint shop for each of the five cars. Assuming the cars go through the refitting operations before they are repainted, can Joe meet the time requirement to get the contract? Please explain clearly the scheduling result. Hint: You may apply online scheduling tools (such as https://job-sequencing.appspot.com/) to help schedule.) Car Refitting Time (Hours) Repainting Time (Hours)…How does Six Sigma help and/or hurt with Constraint Management?
- Chapter 5. (M/M/s/K Model). Leia is responsible for 12 computers in the IT offices in a small business called DataWish. Each computer runs on an average for 4 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the “arrival” of each computer for service and an exponential distribution to the actual service provided, answer the following questions: a. The arrival rate would be units per week and the service rate would be units per week. b. Calculate the following operating characteristics for the M/M/s/K system: Utilization Factor (ρ) % Performance Measures P0 (probability that sytem is empty) % L (average units in system) units Lq (average units waiting in queue) units W (average time in the system) weeks Wq (average time in the queue) weeks c. If we assign a cost of waiting as $750 per week per computer and $800 per week of…A manufacturer wants to design an open box with a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume? Picture (suggested, not required) Primary equation: Constraint (secondary) equation: Maximization formula Interval of optimization (domain) Use the conclusion of the extreme value theorem to answer question posedAnswer question a, b and c.