Dynamic Programming

An electronic device consists of 3 main components arranged in series so that the failure of one component causes the failure of the whole device. The reliability of the device can be improved by having up to, 2 standby units in parallel for each component. The total capital available for the design is £10,000. The reliability Rk and Cost Ck of having ak standby units for each component is given below: Number of Component 1 Component 2 Component 3 Standbys k Rk Ck Rk Ck Rk Ck 0 0.6 1000 0.7 3000 0.5 2000 1 0.8 ... click for more

What’s the difference between flow time and cycle time?

Dear OTA, Please help me with steps. Please see attached file for full problem description. Thanks 1. a. What’s the difference between flow time and cycle time? b. What is the relation between flow time and cycle time (in terms of a formula)? c. Particularly, if flow time of a production process is 3 hours, and if the cycle time of for the same production is 15 min., how many units are being processed in the system simultaneously? 2. IPot is producing imitation mp3 players. The flow of the production is as follows: where A is a setup process (so its capacity is not divided to 2 for the two paths), D and E refer to the production of the headphones, B and C ref... click for more

Canon produces digital and film (35 mm) cameras.

Dear OTA, Please help me with problem. Thanks 1. Canon produces digital and film (35 mm) cameras. For the purposes of the question, let’s assume they are producing one model of each. Canon produces its cameras as much as demanded, and the ratio of demand for digital cameras is 4 times of the demand for the film cameras. The flow time for digital cameras is 5 hours and the flow time for film cameras is 6 hours. a. What is the average flow time for Canon? If the total inventory they have is 10,400: b. What is the total demand for Canon cameras? c. If digital cameras sell for $300 on average, and if the film cameras sell for $200 on average, what is Canon’s expected revenue? ... click for more

At a large pharmacy, first you wait at the line for giving your order.

Dear OTA, Please help with steps Thanks 1. At a large pharmacy, first you wait at the line for giving your order. Most of the time (80% of the time) the pharmacist has your drugs ready in 2 minutes. But 20 percent of the time, the pharmacist needs additional time to prepare the drug, and she spends 8 minutes for your prescription. When you have your drugs, you wait some more at the line for cashier. It takes 1 minute to pay for the drugs. The customer throughput of the pharmacy is 120 people per hour. i. If the managers of the store want to maintain a stable process, how many cashiers and how many pharmacists should they have on duty on average (assuming that one pharmacist works... click for more

Linear Programming - Staffing

How would you define in linear programming format that an employee has to work 5 consecutive days, and then has 2 days off?