a) The Operations Manager at Metal Fabricators must decide the sequence in which thefour Block making machines in the workshop must be fabricated. He has developedthese estimates based on the First-Come-First-Served sequence rule:EstimatedTime toFCFS OrderMachine NumberMaintenancePromisedSequenceTime (days)Delivery (days)A27391B333024160D29754Rank the FCFS, SPT and CR sequencing rules on three evaluation criteria: averageflow time, average number of jobs in the system, and average job lateness.

Given, Machine Number EstimatedMaintenance days Time to promised delivered FCFS Order…

Answered: a) The Operations Manager at Metal…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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The Hickory Company manufactures wooden desks. Management schedules overtime every weekend to reduce the backlog on the most popular models. The automatic routing machine is used to cut certain types of edges on the desktops. The following orders need to be scheduled for the routing machine: Order Time SinceOrder Arrived(hours ago) EstimatedMachineTime (hours) Due Date(hours fromnow) 1 2 3 4 5 6 5 3 1 0 10 3 15 9 7 12 8 18 20 21 The due dates reflect the need for the order to be at its next operation.a. Develop separate schedules by using the FCFS and EDD rules. Compare the schedules on the basis of average flow time and average past due hours.b. Comment on the performance of the two rules relative to these measures.
Nice-Fit is a (fictional) small business producing outfits for costume parties and specialoccasions. Custom designs can be tailored to a customer’s request. Tom and Ann are theowners of the company and source all the fabric, design the outfits and make the costumesthemselves. Tom and Ann keep spreadsheets with information on the material purchased andcostumes made, but they find it difficult to keep track of their products, raw materials, andsales. The raw materials are supplied from a fabric company in India, and the production takesplace in a manufacturing company in China. The clothing is sold at local weekend markets,sold, or rented through costume hire shops, and sold at their physical store. Tom and Annreceive a small percentage of the sales and rentals of their costumes from the hire shops.They have no information on customers other than those who request custom designsdirectly from them. In 2020, the Covid-19 pandemic had a major impact on global economies,businesses and how we…
How 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.
Speaker’s Clearinghouse must disburse sweepstakeschecks to winners in four different regions of the country:Southeast (SE), Northeast (NE), Far West (FW), andMidwest (MW). The average daily amount of the checkswritten to winners in each region of the country is as follows:SE, $40,000; NE, $60,000; FW, $30,000; MW, $50,000.Speaker’s must issue the checks the day they find out acustomer has won. They can delay winners from quicklycashing their checks by giving a winner a check drawn onan out-of-the-way bank (this will cause the check to clearslowly). Four bank sites are under consideration: FrosbiteFalls, Montana (FF), Redville, South Carolina (R), PaintedForest, Arizona (PF), and Beanville, Maine (B). The annualcost of maintaining an account at each bank is as follows:FF, $50,000; R, $40,000; PF, $30,000; B, $20,000. Eachbank has a requirement that the average daily amount ofchecks written cannot exceed $90,000. The average numberof days it takes a check to clear is given in Table 22.…
Personnel planning is an important function for many firms. Consider a company’s department with a desired headcount of 100 positions. Suppose that employees leave their positions at a rate of 3.4 per month, and that it requires an average of 4 months for the firm to fill open positions. Analysis of past data shows that the number of employees leaving the firm per month has the Poisson distribution, and that the time required to fill positions follows Weibull distribution. What is the probability that there are more than 15 positions unfilled at any point in time? How many jobs within the department are filled on average? How many positions should the firm have in order for the head count of working employees to be 100 on average?
The radiology department of Vincent Valley Hospital (VVH) uses FCFS to determine how to sequence patient X-rays. On a typical day, they collect data related to patient X-rays. Use these data to compare various sequencing rules. Assuming these data are representative, what rule should the radiology department be using and why? (The Excel spreadsheet containing these data is titled C12 Problem 2 Sequencing Rules Data.xls is attached)
A political party is planning a ninety-minute television show. The show will have at least 9 minutes of direct requests for money from viewers. Three of the party's politicians will be on the show- a senator, a congresswoman, and a governor. The senator, a party "elder statesman," demands that he be on screen for at least twice as long as the governor. The total time taken by the senator and the governor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 37, 41, and 45 (in thousands) viewers will watch the program for each minute the senator, congresswoman, and governor, respectively, are on the air. Find the time that should be allotted to each politician in order to get the maximum number of viewers. Find the maximum number of viewers. The quantity to be maximized, z, is the number of viewers in thousands. Let x, be the total number of minutes allotted to the senator, × be the total number of minutes allotted to the…
You own wheat warehouse with capacity of 20,000 bushels. At the beginning of month 1, you have 6,000 bushels of wheat. Each month, wheat can be bought and sold at the price per 1000 bushels given in the table Month Selling price ($) Purchase prie ($) 1 3 8 2 6 8 3 7 2 4 1 3 5 4 4 6 5 3 7 5 3 8 1 2 9 3 5 10 2 5 The sequence of events during each month is as follows: a. You observe your initial stock of wheat. b. You can sell any amount of wheat up to your initial stock at the current month's selling price. c. You can buy(at the current month's buying price) as much wheat as you want, subject to the warehouse size imitation. Your goal is to formulate an LP that can be used to determine how to maximise the profit earned over the next 10 months and solve using Excel solver or AMPL
our topic is sequence SampleG6 solve
Five sorority sisters plan to attend a social function. Each requires hair styling andfitting for a gown. Assume that the times required are independent exponentiallydistributed random variables with the mean times for the fittings of 0.6, 1.2, 1.5,0.8, and 1.1 hours, respectively, and mean times for the stylings of 0.8, 1.6, 1.0,0.7, and 1.3 hours, respectively. Assume that the fittings are done before thestylings and that there is only a single hair stylist and a single seamstress available.In what sequence should they be scheduled in order to minimize the total expectedtime required for fittings and stylings?
Consider the Dynamic Program formulation of the n-class optimal booking problem with sequential arrivals. In thisproblem, show some monotonicities of the value function.• Jt(x) − Jt(x − 1) is non-decreasing in t, ∀x.• Jt(x) − Jt(x − 1) is non-increasing in x, ∀t.Consider that the second property implies the first property. To prove the second property, given Dt, consider the discrete concavity of Ht(Dt, x) = max0≤u≤min{Dt,x} (pt)u + Jt−1(x − u) in x, i.e., Ht(Dt, x + 1) − Ht(Dt, x) ≤ Ht(Dt, x) − Ht(Dt, x − 1) for any x ∈ Z+ for any t. Image attatched for clarity.
Specifying optimistic, pessimistic, and most likely or mode times are sufficient to generate the beta distribution describing completion times. The applet opens with values Optimistic = 2 weeks, Pessimistic = 11 weeks, and Mode = 4 weeks. Drag the mode line inside the distribution to see how the shape changes as expectations about the most likely outcome change. Drag between 0 and the current Optimistic value to change the Optimistic value. Drag, in either direction, beyond the upper end to change the pessimistic value.

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