Figure 1 shows the essential trade-off relationship under typical (steady-state) customer traffic conditions.

Initially, with minimal service capacity, the waiting line cost is maximum.

In these situations, the problem can be approached by either simulation or a mathematical model procedure.We can compute the cost of additional beds by summing the costs for building construction, additional equipment required, and increased maintenance. Here we are confronted with the problem of trying to place a dollar figure on a patient's need for a hospital bed that is unavailable.While we can estimate lost hospital income, what about the human cost arising from this lack of adequate hospital care?The decision could then be reduced to dollar terms and the choice easily made.On the other hand, suppose that our waiting line problem centres on demand for beds in a hospital.

## Explain the single-server and multi-server waiting line models

Frequently the cost trade-off decision is straightforward.For example, if we find that the total time our employees spend in line waiting to use a copying machine would otherwise be spent in productive activities, we could compare the cost of installing one additional machine to the value of employee time saved.Waiting line formulas generally require an arrival rate, or the number of units per period (such as 10 units per hour). dating på nettet Egedal The time between arrivals is the interarrival time (such as an average of one every six minutes).Understanding waiting lines or queues and learning how to manage them is one of the most important areas in operations management.

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