Building a simple model ("Assignment 2")

Building a simple model of a manufacturing process based on written instructions in Witness Horizon 23 by Lanner Group. The instructions are: The Bottom is an active part, which arrives into the model every 10 minutes and it is pushed into the WashMachine. This machine works 10 minutes. The Bottom is then pushed onto Conveyor1 (indexed queueing, length 20 parts, maximum capacity same, speed 1) and then into CompactingMachine. The CompactingMachine works 5 minutes, breaks down every two hours of available time; repair is done by ServiceMan (a laborer) and takes 5 minutes. Processed parts are pushed into buffer AssemblyBufferBottom (capacity 30). The Top is a passive part being pulled into the model by a CuttingMachine. The CuttingMachine works for 3.5 minutes, it requires the Worker (a laborer) to work and it needs to be set up after every 50 cycles. The set up requires ServiceMan and takes 2 minutes. From CuttingMachine the Top goes into DrillerBuffer (capacity 10). The DrillingMachine pulls Top from the buffer, works for 5 minutes and requires the Worker. It pushes the Top into the AssemblyBufferTop (capacity 10). The AssemblyMachine pulls out always one Top and one Bottom from AssemblyBuffers and assembles it in 5 minutes. It requires the Worker for the cycle. It pushes the output into PaintingBuffer (capacity 20). At the end of the AssemblyMachine cycle, Top and Bottom are changed into a new part called Product. The PaintingMachine is a batch machine, which pulls parts from PaintingBuffer and processes always 10 of them at once. The cycle takes 10 minutes and output is shipped out of the model. 1. Create the model 2. Define variables expressing: • Cost of an hour of Worker = 120, cost of an hour of ServiceMan = 400. • Cost of WashMachine = 50 per hour available time • Cost of CuttingMachine = 5 per operation • Cost of DrillingMachine = 7.5 per operation • Cost of CompactingMachine = 3000 per piece • Cost of AssemblyMachine = 16 per operation • Cost of PaintingMachine = 15 per hour available time • Revenues per Product = 155 3. Define target function measuring profit 4. Define a graph showing production per hour