Suppose a network contains a finite number of arcs andthe capacity of each arc is an integer. Explain why theFord–Fulkerson method will find the maximum flow in thefinite number of steps. Also show that the maximum flowfrom source to sink will be an integer.
Q: Noah Yobs, who has $75,400 of AGI (solely from wages) before considering rental activities, has…
A: Given data, AGI = $75400Rental activities = $67,860Real estate rental activity income =…
Q: Departments A, B, C, and D need to be assigned to four rooms 1, 2, 3, and 4. These rooms are…
A: Answer: In a plant layout different departments or plant services are located in such an order that…
Q: The quantity to be maximized, z, is the number of viewers in thousands. Let x, be the total number…
A: x1 = Total number of minutes allotted to the senatorx2 = Total number of minutes allotted to the…
Q: Solve the linear programming problem by the method of corners. Maximize P= x+ 6y subject to x + y s4…
A: Linear programming is a method that is used to achieve the best outcome (such as maximum profit or…
Q: What is Machine Scheduling in Integer linear optimization and put example.
A: A Small Introduction about Scheduling Scheduling is the method involved with organizing,…
Q: Example: suppose that three jobs must be assigned to three machines, each machine must be assigned…
A: Let n be the number of allocations, where n=3 Step 1: Subtract the lowest value in each row from…
Q: A student in the project management course takes no less than 20 minutes to solve a typical network…
A: Given data is Optimistic time = 20 mins Pessimistic time = 50 mins Most likely time = 30 mins
Q: Four workers are available to perform jobs 1–4.Unfortunately, three workers can do only certain…
A: Given data, Total Worker = 4 Job = 1-4 Worker 1 - job 1 Worker 2 - job 1 and 2 Worker 3 - Job 2…
Q: a. Formulate the problem of deciding how much of each product to make in the current week as a…
A: SOLUTION:
Q: A product can be produced on four different machines.Each machine has a fixed setup cost, variable…
A:
Q: At a machine tool plant, five jobs must be completedeach day. The time it takes to do each job…
A: Given data, Job time data Times to do jobs and setup times Jobs 1 Jobs…
Q: Shelves Unlimited is interested in estimating the additional machine center capacities for a new…
A: Ans1.The bookshelf is made up of 2 end panels and 3 shelves.Hence, the number of end panel required…
Q: A manufacturing plant 30m by 55 m, has inside 3 stamping machines 5 by 2m and 7 m in height and 37…
A: Safety and secure building of the Organization A safe structure will diminish the shot at security…
Q: Explain the basic assumptions of the assignment method of linear programming in operation?
A: The linear method is presented for identifying and resolving a variety of linear inequalities that…
Q: Help Lee develop a schedule that will enable him to make his date on time and depict that schedule…
A: In the above question, we are required to prepare a schedule chart based on the preference such that…
Q: 1/ Katie Posh runs an upscale nail salon. The service process includes five activities that are…
A: [ Note for understudies : No adjusting has been done as it isn't referenced in the question] PN1.…
Q: a. Create a set of linear equations to describe the objective function and the constraints. b. Use…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Write the correct mathematical models for the objective functions and constraints.
A: Given data is Plastic required for space ray toys = 2 pounds Labor required for space ray toys = 3…
Q: Maintenance at a major theme park in central Florida is an ongoing process that occurs 24 hours a…
A: Find the Given details below: Time of day/Shifts 12 AM - 4 AM 4 AM - 8 AM 8 AM - 12 PM 12 PM - 4…
Q: The Northside Bank is working to develop an efficient work schedule for full-time and part-time…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: #3. Tyler bakes Cookies (C) and Breads (B) with the help of two ovens in his little bakery. The time…
A: Given- Objective: Maximize Revenue 15C + 20B St. Constraints:Oven A available: 14C + 168 <=…
Q: Ronald and Son, P.A., is an auditing firm that conducts both financial and operational audits.…
A: Decision Variables : Let F and O be the number of FAs and OAs respectively that Arthur and Son…
Q: Suppose a company must service customers lying inan area of A sq mi with n warehouses. Kolesar and…
A:
Q: The chief of police, Karen Stanley, of the Make-Believe Police Department needs to assign five…
A: The problem has been solved using the Hungarian method as shown below:
Q: Machines X and Y have 2,000 and 1,500 machine – minutes respectively. The firm must manufacture 100…
A: Below is the solution:-
Q: The Green Cab Company has a taxi waiting at each offour cabstands in Evanston, Illinois. Four…
A: Formula:
Q: In a job shop operation, four jobs may be performed on any of four machines. The hours required for…
A: The hours required by each job on each machine are described in the tabular form.
Q: Which is most likely true about theory of constraints? a. The theory of constraints does not apply…
A: Constraints are conceptual requirements that must be met by a solution to an optimization approach.…
Q: Vivian and Wayne are planning on going to Lamazenatural childbirth classes. Lamaze classes meet once…
A:
Q: Solve the given standard minimization problem using duality. (You may already have seen some of…
A: Below is the solution:-
Q: 3. Consider a set of 500 equations in 100 variables: Ax < b, given by a x < bị. Suppose that these…
A: The subsequent standard is called Complementary Slackness. It says that assuming a double factor is…
Q: In the Hungarian Methodology of solving the Assignment Model, upon eliminating the zeroes using the…
A: The Hungarian method is the technique used to solve the assignment problem where it states that if…
Q: A restaurant operates from 8 a.m. to 8 p.m. and employs both full-time and part-time workers.…
A: Decision Variable: Suppose x1 be the no. of full-time workers assigned to shift 8am-6pmx2 be the…
Q: Seven types of packages are to be delivered by fivetrucks. There are three packages of each type,…
A: In a maximum flow problem, the maximum amount of flow that a network allows to flow from source to…
Q: Four automobiles have entered Ilham’s Repair Shop for various types of work, ranging from a…
A: The assignment problem refers to an optimization problem. Here, there are various tasks that need to…
Q: r linear optimization
A: It is a fundamental feature of contemporary workforce management that shift schedules assist manage…
Q: Which of the following is the key identifier of a resource-allocation problem? I. Constraints with…
A: The issue of allocation of resources emerges because of the shortage of resources and alludes to the…
Q: Lee Beedo, a hip bachelor in Edmond, has a date for Saturday night and finds himself without a thing…
A: Given information Load Wash Time Dry Time Polyesters 0.50 0.75 Leathers 2.00 1.5 Whites…
Q: The Baton Rouge Police Department has five detectivesquads available for assignment to five open…
A: given,
Q: In the optimal solution to the machine-to-job assignment problem, jobs 3 and 4 are assigned to…
A: In an operational environment of business, machine to job assignment works way much better if there…
Q: Aæ < b, given by a, æ < bi. Suppose that these are not feasible, i.e., there is no solution that…
A: SOLUTION:
Q: Consider a project with seven tasks. Three tasks - tasks 3, 4, and 5 - require a specific resource…
A: Project duration is described as the time taken up to complete a project and it is measured in terms…
Q: ou are given a linear programming problem. Maximize P = 3x + 3y subject to 5x + 3y ≤ 30…
A: In the graphical method, the points are identified and then a line is drawn. Using this line, the…
Q: A production line is to be designed for a job with four tasks. The task times are 2.4 minutes, 0.4…
A: Given details: Total No. of tasks = 4 Task times: 4 minutes 4 minutes 9 minutes 7 minutes
Q: A manufacturing fi rm has discontinued production of a certain unprofi table product…
A: Let X1 be the number of product X1 X2 be the number of product X2 X3 be the number of product X3
Q: A leatherworks factory has two punch presses for punching holes in the various leathergoods produced…
A: Given data Shortest Processing Time Job Time 11 4 3 8 2 12 10 15 8 21 9 25 1 26…
Q: Suppose the total flow into a node of a network isrestricted to 10 units or less. How can we…
A: The network nodes include the network establishing the receiving and communicating the information.…
Q: A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit…
A: Given Information: a) THe linear programming based on given information is as follows: Let x be…
Suppose a network contains a finite number of arcs and
the capacity of each arc is an integer. Explain why the
Ford–Fulkerson method will find the maximum flow in the
finite number of steps. Also show that the maximum flow
from source to sink will be an integer.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- Each airline passenger and his or her luggage must bechecked to determine whether he or she is carrying weaponsonto the airplane. Suppose that at Gotham City Airport, anaverage of 10 passengers per minute arrive (interarrivaltimes are exponential). To check passengers for weapons,the airport must have a checkpoint consisting of a metal detector and baggage X-ray machine. Whenever a check-point is in operation, two employees are required. A checkpoint can check an average of 12 passengers perminute (the time to check a passenger is exponential). Underthe assumption that the airport has only one checkpoint,answer the following questions:a What is the probability that a passenger will have towait before being checked for weapons?b On the average, how many passengers are waiting in line to enter the checkpoint? 1082 CHAPTER 2 0 Queuing Theoryc On the average, how long will a passenger spend atthe checkpoint?A. What is one application of yield management in addressing capacity problems B. Explain why queues form and recognize queues in the world aroundCustomers arrive at a one window drive according to a poison distribution with mean of 10 minutes and service time per customer is exponential with mean of 6 minutes. The space in front of the window can accommodate only three vehicles including the serviced ones. Other vehicles are have to wait outside this space. Calculate:a. A. probability that an arriving customer can drive directly to the space in front of the windowb. Probability that an arriving customer will have to wait outside the directed space c. How long an arriving customer is expected to wait before getting the service?
- During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.Consider two different workstations. Each workstation consists of machines A and B, respectively. Machine A has a mean effective process time of 1.0 hours and an c² of 0.25. Machine B has a mean effective process time of 0.85 hour and an c² of 4. Assume the part arrival and service processes follow a general distribution. 1 (a) For an arrival rate of 0.92 job per hour with c2 = 1, which machine will have a shorter average cycle time? (b) Now put one more machine of type A at the station and double the arrival rate (i.e., double the capacity and the throughput). What happens to cycle time?An average of 12 jobs per hour arrive at our departmentalprinter.a Use two different computations (one involving thePoisson and another the exponential random variable) todetermine the probability that no job will arrive duringthe next 15 minutes. b What is the probability that 5 or fewer jobs will ar-rive during the next 30 minutes?
- 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 shipping company operates 10 container ships that can each carry 5000 containers oneach journey between ports. They want to be able to load and unload 20,000 containerseach week. Assume their ships always travel fully loaded. What is the longest averagetravel time between ports that allows them to meet their goal of 20,000 containers perweek?20. A small bank is trying to determine the number of tellersto employ. The total cost of employing a teller is $100per day, and a teller can serve an average of 160 customers per day. On average, 210 customers arrive per day atthe bank, and both service times and interarrival times areexponentially distributed. If the delay cost per customerday is $200, how many tellers should the bank hire?
- A bank is trying to determine which of two machinesshould be rented to process checks. Machine 1 rents for$10,000 per year and processes 1,000 checks per hour.Machine 2 rents for $15,000 per year and processes 1,600checks per hour. Assume that the machines work 8 hours aday, 5 days a week, 50 weeks a year. The bank must processan average of 800 checks per hour, and the average checkprocessed is for $100. Assume an annual interest rate of20%. Then determine the cost to the bank (in lost interest)for each hour that a check spends waiting for and undergoingprocessing. Assuming that interarrival times and servicetimes are exponential, which machine should the bank rent?The manager of a large group of employees must decideif she needs another photocopying machine. The cost of amachine is $40 per 8-hour day whether or not the machineis in use. An average of 4 people per hour need to use thecopying machine. Each person uses the copier for an averageof 10 minutes. Interarrival times and copying times areexponentially distributed. Employees are paid $8 per hour,and we assume that a waiting cost is incurred when a workeris waiting in line or is using the copying machine. Howmany copying machines should be rented?Consider a workstation that has one maintenance mechanic to repair failed machines. We can think of the mechanic as the processor (scarce resource) and the machines awaiting repair as the jobs. Let us assume that six machines are down, with estimated repair times given here, and that no new machines fail. 1 2 3 Job (fix machine #) Processing time 10 (hours) Job 1 2 3 4 5 6 2 Compute the flow time for each job using both the FCFS rule and the SPT rule, and compare the average flow times. Round your answers for average values to the nearest whole number. FCFS Rule 9 Flow Time (hours) Average flow time (FCFS rule): 4 5 6 1 8 6 hours