3.8.Consider the given network, in which design capacity is represented in the arc. Determine the maximum flow from the source node 1 and to terminal node 5. Find the maximum flow in all arcs. (20,0) (10,0) (30,0) (5, 10) (30,0) (40,0) (20,0) (20,0)
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- I ONLY NEED NUMBER 4 LETTERS A-C 3. Sharp Discounts Wholesale Club has two service desks, one at each entrance of the store. Customers arrive at each service desk at an average of one every six minutes. The service rate at each service desk is four minutes per customer. 4. Sharp Discounts Wholesale Club is considering consolidating its two service desks (see Problem 3) into one location, staffed by two clerks. The clerks will continue to work at the same individual speed of four minutes per customer. a. What is the probability of waiting in line? b. How many customers, on average, are waiting in line? c. How much time does a customer spend at the service desk (waiting plus service time)? d. Do you think the Sharp Discounts Wholesale Club should consolidate the service desks?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…A warehouse has 2 docks for unloading. The arrival rate of trucks at the warehouse is 5 trucks per hour (Poisson distributed). The unloading rate is 4 trucks per hour (Poisson distributed). The driver- truck combination represents a cost of S275 per day. Each dock plus labor represents a cost of $900 per day. What's the minimum dock-crew and driver-truck cost (pick nearest answer)? a. 2364.10 b. 0.75 c. 1345.00 d. 2670.76 e. 0.25
- 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…7. The manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?b. An employee has proposed adding new equipment that would speed up the loading rate to 6trucks per day. The equipment would cost $100 per day for each dock. Should the managerinvest in the new equipment?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…
- For networks (1) and (2), find the maximal flow from the source to the sink, given that the flow capacity from node I to node j is the number along branch (ij) nearest node i.The manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?A grocery store has three open checkout counters. There is a single queue leading up to these three counters. On average, 45 shoppers arrive at this queue. The coefficient of variation of the interarrival time is equal to 1. The average service capacity of each of the three servers is 18 customers per hour, and the coefficient of variation of service time distribution for each server is 3. (a) (3 points) What is the percentage decrease in capacity utilization when one more checkout lane is added to the system? (b) (7 points) On average, how many customers are waiting in the queue?
- Solve in a normal method (no excel please ). (1)Problem#1: Arrivals of a customers to payment counter in a bank follow poisson distribution with an average of 10 per hour. The service time follows negative exponential distribution with an average of 4 minutes.(a) What is the average number of customers in the Queue?(b) The bank will open one or more counter when the waiting time of a customer is at least 10 minutes. By how much the flow of arrivals should increase in order to justify the second counter?An infinite source queuing system has an arrival rate of 45 customers per hour and a service time of 2 minutes per customer. The arrival rate can be described as Poisson, and the service time distribution can be described as negative exponential. Suppose it has been determined that the average number of customers waiting for service is 1.929. There are two servers.Determine the following: a. the average number of customers being served.b. the average number of customers in the systemc. the average time customers wait in line before being servedd. the average time customers spend in the system.e. system utilization