In the employee scheduling example, suppose the company has 25 full-time employees and is not allowed to hire or fire any of them. Determine a schedule that maximizes the number of weekend days off received by these employees.
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In the employee scheduling example, suppose the company has 25 full-time employees and is not allowed to hire or fire any of them. Determine a schedule that maximizes the number of weekend days off received by these employees.
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- Five employees are available to perform four jobs. Thetime it takes each person to perform each job is given inTable 50. Determine the assignment of employees to jobsthat minimizes the total time required to perform the fourjobs. Please also provide the graph.One possible solution method for the machine-to job assignment problem is the following heuristic procedure. Assign the machine to job 1 that completes job 1 quickest. Then assign the machine to job 2 that, among all machines that still have some capacity, completes job 2 quickest. Keep going until a machine has been assigned to all jobs. Does this heuristic procedure yield the optimal solution for this problem? If it does, see whether you can change the job times so that the heuristic does not yield the optimal solution.One possible solution method for the machine-tojob assignment problem is the following heuristic procedure. Assign the machine to job 1 that completes job 1 quickest. Then assign the machine to job 2 that, among all machines that still have some capacity, completes job 2 quickest. Keep going until a machine has been assigned to all jobs. Does this heuristic-procedure yield the optimal solution for this problem? If it does, see whether you can change the job times so that the heuristic does not yield the optimal-solution.
- What is Machine Scheduling in Integer linear optimization and put example.What is the shift scheduling in Integer linear optimization and pud exampleHow much influence can the employee requirements for one, two, or three days have on the weekly schedule in the employee scheduling example? Explore this in the following questions: a. Let Monday’s requirements change from 17 to 25 in increments of 1. UseSolverTable to see how the total number of employees changes.b. Suppose the Monday and Tuesday requirements can each, independently of one another, increase from 1 to 8 in increments of 1. Use a two-way SolverTable to see how the total number of -employees changes.c. Suppose the Monday, Tuesday, and Wednesday -requirements each increase by the same amount, where this increase can be from 1 to 8 in -increments of 1. Use a one-way SolverTable to -investigate how the total number of employees changes.
- ACE Hardware wants to develop a daily schedule for its employees in one of its stores in Omaha. Currently, this store has five employees and the store is opened from 12pm to 9pm. The store must always have at least two people on hand. Each employee must work at least four hours and no more than eight hours per day. Employee #1 goes to school and cannot start before 4pm while all other employees can work at any time. Furthermore, employee #1 earns $10 per hour while all other employees earn $12 per hour. Because all five employees live so close to the store, you must assume that they need to work consecutive hours. a) Formulate an optimization model for this problem. b) Solve the optimization model using either the Microsoft Excel SolverA software support company has the following minimum personnel requirements “on duty” during the week. Each employee is required to have two consecutive days off. What are the minimum total regular employees required to satisfy the requirements? (Assume, because of accounting reasons, no employee can take Sunday and Monday off).Airline Scheduling. Alpha Airline wishes to schedule no more than one flight out of a given airport to each of the following cities: C, D, L, and N. The available departure slots are 8 a.m., 10 a.m., and 12 noon. Alpha leases the airplanes at the cost of $5000 before and including 10 a.m. and $3000 after 10 a.m., and is able to lease at most two per departure slot. Also, if a flight leaves for location N in a time slot, there must be a flight leaving for location L in the same time slot. The expected profit (in $1000) contribution before rental costs per flight is shown in the table below. Time Slot 8 10 12 C 10 6 6 D 9 10 9 L 14 11 10 N 18 15 10 a) Formulate an integer linear program model that can be used to find the profit-maximizing schedule. Define your decision variables as Xij = 1 if a flight to destination i occurs in time slot j and Xij = 0 otherwise; and Yj = number of airplanes rented for time slot j. Write the objective function and all the constraints. b)…
- Please formulate the problem as AN OPTIMIZATION MODEL only and I will finish the rest. Health Center is planning to open its facilities 24 hours a day and wants to determine an optimal schedule. for their nurses. A nurse's work schedule is 8 hours in a row and can only start at the beginning of each shift. The personnel requirement for each shift is shown in Table 1. Table 1 – Personnel RequirementIs Linear programming is a powerful technique for dealing with resource-allocation problems?Suppose that you are a manager in an organization and your staff required laptops for their routine work you have limited budget time and certain specifications required in laptops you have to solve this problem how can you solve this problem in a sequential manner?