Integer programming problems

Prob 1 Blinkies is the 24-hour hot spot in town. The work schedules start every three hours and are listed below with the number of staff members neede for each three hour period. Staffers may be assigned 6 hour shifhts (for which they are paid $50) or 9 hour shifts (for which they are paid $65) A manager is rquired for each 25 staffers. Managers work 12 hour shifts and are paid $200 per shift. Their work schedules may also start on any of the 3 hour work periods What is the minimum cost to meet Blinky's needs and how many employees of each type will start work in each period? Could Blinky's save money by using 3 hour shifts for some employees if they had to pay $10 per hour for these s... click for more

Waiting line problem

Speedy oil provides a single channel automobile oil change and lubrication service. Customers provide an arrive rate of 2.5 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. a) What is the average time of cars in the system ? b) What is the average time that a car waits for oil and lubrication service to begin? c) What is the average time a car spend in the system? d) What is the probability that an arrival has to wait for service?

Operations Processing

See attached file for full problem description. 1. VeriFast Semiconductor makes memory chips for digital electronics manufacturers, and it has expensive equipment in its plant that has to be used for multiple product lines. Photolithography is one of the critical steps in wafer fabrication facilities, and lithography unit R2D2 in their plant is their newest and most expensive to date. The photolithography process is very similar to the use of film cameras; a light source is directed through a (very expensive) lens that has the integrated circuit diagram printed on it, at a silicon surface where we wish to carve the image of the circuit. In the VeriFast process, the silicon wafer sur... click for more

Operations Problem - Queuing

See attached file for full problem description. 3. The neighborhood Clinkos copier store has three copiers: C1, C2, and C3. Customers that come to the store can be categorized into two types of jobs: large volume and small volume jobs. Currently, Copiers C1 and C2 are only assigned to customers with large volume copy jobs, and Copier C3 only serves customers with smaller volume jobs. Customers with large volume jobs arrive according to a Poisson process with mean of 25 customers per hour. When customers arrive, they joint a single queue in front of Copier C1 and Copier C2. Customers with smaller jobs arrive at a rate of 40 customers per hour, with a standard deviation of interarrival tim... click for more

Operations Problem

See attached file for full problem description. 4. Mad Hatter’s You are hired as a consultant to a growing national fast food chain, which serves a mix of basic sandwiches, salads and gourmet pizzas, and has both eat-in and take-out customers. You are visiting the Durham restaurant and given the below information about the restaurant. A description of how customers/food orders arrive and are processed is provided below. In all of your analysis on this problem, work with long-run averages and ignore unexplained or random variation. A process flow diagram showing the flow of work through the system and the processing rates is given (attached).