Industrial Cases in Simulation Modeling

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Get quicker solutions and test more scenarios with the fastest simulation tool available. Read the Case Study. More about Healthcare Simulation. More about Manufacturing Simulation. More about Supply Chain Simulation. Scroll down to learn more. How It Works Discrete Event Simulation Discrete event simulation describes a process with a set of unique, specific events in time.

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Can now experiment and test operational changes before implementing them. A hospital asked. How can we best improve patient waiting times? They developed a simulation model to evaluate possible improvement scenarios using Arena Simulation Software. They realized that their planned course of action would not have the desired outcome. In fact, density is this percentage multiplied by the maximum number of bottles a length unit can hold we are talking about number of bottles per linear meter on the conveyor.

If you have small bottles compared to the conveyor's length and high production rates, the density approach is both efficient and accurate. This is what we call stacking. Last bottle stacked on the conveyor is what we call the accumulation or stacking point. It is now interesting to understand that this point can move very fast on the conveyor.

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Even much faster than the conveyor speed itself. Example: In the following situation the conveyor works 1.

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Some breakdown downstream will cause bottles to stack. If the downstream flow is completely stopped, the speed of the stacking point is:. But conveyors seldom tell you continuously the position of the stacking point they should! To have an idea of the stacking point position on the conveyor, we generally use obstruction cells or sensors. On the previous drawing it is easy to understand that a non-stacked passing bottle should not be mistaken for a stacking point position indication.

To avoid a short reaction of the sensor each time a bottle is passing we want to know the stacking point position, we are not counting bottles there is a timeout linked to the sensor. Sensor reacts only when obstruction is longer than a given duration. A standard packing line normally consists of a succession of many equipments linked by conveyors.

We have chosen here a very simple particular case with one upstream machine, one conveyor and one downstream machine. In fact, even on an appropriately-sized line, equipments have different speeds, for process or quality reasons. Some talk about a sort of wave on the conveyor.

We will see how intelligent positioning of sensors and setting of timeouts can minimize these stops and starts. Upstream has a rate of Din. Downstream has a rate of Dout.

Industrial Cases in Simulation Modeling

Stacking conveyor a length L and a speed V. Upstream is stopped when sensor x position is hidden for more than T seconds Timeout. Upstream starts again when sensor is unhidden stacking point down to x again.

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Sensor position: What value in meters from the conveyor entrance should we set for x? Timeout: What value should we set for T seconds? What can happen if x and T are not well set up? What can we optimize in this system playing only with x and T? Situation at the start of stacking: stacking point just covered sensor at x.

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Upstream will be stopped in T seconds timeout. This can be expressed with the following equation:. Stacking is still ongoing stacking point is moving upstream. But stacking is still ongoing on the space upstream the stacking point. T off is the duration during which the upstream machine was stopped.

Industrial Cases in Simulation Modeling

The quantity to pull is given by the following formula:. It gives the following equation:. To avoid starving the downstream machine, x must not be too big. Put differently, the sensor must not be too far from the upstream machine. We have seen before that T off increases when x increases, and that T off also increases when T increases. Numerical case.