Examples Of Classical Job Shop Scheduling Problem

The JIT approach to manufacturing involves timing the delivery of resources so that they arrive just when needed. Inventory optimization models help the firm determine how many of which items in which sizes should be delivered to each specific store during twice-weekly shipments, ensuring that each store is stocked with just what it needs. Trucks serve destinations that can be reached

Optimization of machinery so that production setups are not required for small customizations which can be managed manually.

The assembly line needs to produce 6 units per hour and there is room for only four workstations. The tasks and the order in which they must be performed are shown in the following table. Tasks cannot be split, and it would be too expensive to duplicate any task.

The JC Gear Company has decided to initiate a project aimed at automating its production planning and control system. Among the options, the company focuses on two alternatives: (1) purchasing the most suitable system off of the shelf and modifying it according to its individual production needs; or (2) developing a system

Akveld, M., & Bernhard, R. (2012). Job shop scheduling with unit length tasks. RAIRO -- Theoretical Informatics & Applications, 46(3), 329-342. Retreived from http://search.ebscohost.com.ezproxy.liberty.edu:2048/login.aspx?direct=true&db=iih&AN=85410818&site=ehost-live&scope=site

Shop floor scheduling prioritizes, schedules work, and communicates the progress of work regarding the schedules and plans that have been made. Shop floor planning is necessary to ensure that expected quantities are completed on time and that resources such as labor, materials, machinery and equipment are used to best effect.

From this equation we get x approximately equal to 6. So Donner Company should use the CNC Drill for orders of more than or equal to 6 boards. The Manual Drill process should be used for all orders of less than 6 boards. This is because production time for CNC is less than manual for order size of

50 + x ≥ 150+ 0.5x Hence x ≥ 200. [x= number of circuit boards]

smooth continuing flow on the assembly line with little idle time at each workstation. (Heizer, 2010). In order

Skill of workers is generally low (page 240).” The sanders, assembly workers, as well as the oil and stain teams are perfect examples of a repetitive production processing system. There is not a lot of thought that goes into sanding off excess glue or painting on oil or stain. Lastly, the job shop method is also used by Stickley Furniture, which Stevenson (2010) said, “A job shop usually operates on a relatively small scale. It is used when a low volume of high-variety goods or services will be needed. Processing is intermittent; work includes small jobs, each with somewhat different processing requirements. High flexibility using general-purpose equipment and skilled workers are important characteristics of a job shop (page 239).” In the furniture company an example of the use of the job shop method is when pieces go to highly skilled workers who meticulously carve designs and other teams of master craftsmen who build custom cabinets.

When k = 2, we can solve the given problem with a polynomial time brute-force algorithm. For every set of n2 processes, we loop over m resources to determine if there are any resources in common between them. If they don’t, there are no sets of k = 2 processes with such resources. If they do, then there is a set of k = 2 processes with such resources.

The process engineer suggests that you find the most labor-intensive operation that the plant performs. Reduce costs by automating the operation.

Reference Case from "Project Management, A Systems approach to planning, scheduling and controlling" by Harold Kerzner, PH.D.

Boeing made use of lean techniques in their production system and increased its production by 50% and also reduced its floor space by 40%. Assembling a Boeing 737 is a typical job. Workers should take 367,000 parts, an same number of bolts, rivets, other equipment and 36 miles (58 kilometres) of electrical wire and then keep them all combined to make an airplane [2]. Engineers to machinists were involved in lean (reducing waste) in the factory. By creating an assembly line, aircraft will pass through the workers were they going to concentrate on assembling. Allocating all employees in the factory building and organising special teams helped a lot to solve the errors in the assembly line [2]. In the assembly line, there are eight beacon lights which reflect the production status. If everything is good it shows green colour. If an error occurs, the worker will press a button and the green light will changes to yellow and the panel board will shows the category of the problem(which category it is related to). The worker will pass on to a computer and writes about the problem in a brief manner and the problem should be assigned to special team to solve it within 30 minutes if not, the light turns to purple and the assembly line will shuts down. This moving assembly is the icon of factory’s lean strategies.

−−−Preliminary study of an automotive assembly plant for high volume production(1300cars/day with 2 type of cars, 4 doors and 2 doors respectivly, and flexible in volume, 3 shifts of workers)