# Essays on Business Decision Modeling Assignment

The paper "Business Decision Modeling" is a perfect example of a business assignment.   I order for the university to investigate the total number of till to be operating with during lunchtime. It is necessary to evaluate the current system through simulation and use it to compare with the performance provided while using the two tills. Therefore, having 100 arrivals during every lunchtime for each week, simulation results could give an outcome that can be independently relied upon to make an appropriate decision. In the case of single-channel queuing, such calling population is always infinite.

This is because if any unit, leave the population to enter service time or join the population, there is always no change in the rate of arrivals. Arrival for each service occurs consecutively one at a time in a random fashion since arrivals are defined by using the distribution of time between customer arrivals. Immediately join the waiting line, serving begins immediately. The service times are assigned in some random numbers according to the given probability distribution which doest change for quite some time until further investigations were made.

Based on the results obtained through simulation of the two tills option, the following formulae are used to interpret the outcome of the operation. Data analysis according to the table computed in the Excel spreadsheet will help the management in making the decision to improve the entire performance of the business as well as determining which scenario is the best to operate within, either to use one till or both the two tills. According to the formulas below, it is possible to explain the outcome of each scenario based on the allocation of the callers between the two tills as shown in simulation tables 1.

Which gives a high degree of confidence reliance on the information generated? Considering one till in operation whose total duration has a probability destiny function (p. d.f) = f(T) = u exp (wT), T > 0, where u represents service rate i. e. the average number it takes to complete service per each unit of time whenever the server is busy.

Reference

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Gafarian A. & J. Ancker (1999) Queuing with impatient customers who leave at random.

Law, A., M., &. Kelton, D., (1982) Simulation Modeling and Analysis. McGraw-Hill, New York

Mesut Gunes (2003) Simulation discrete event systematic simulation analysis.

Parkan, C., (1987). Simulation of a Fast-Food Operation where Dissatisfied Customer Renege. The Journal of the Operational Research Society, Vol. 38, No. 2, pp. 137- 14

Warren E., & Patrkan, C., (2006) Optional reneging decisions in queue. Decision, Sc 9.107-119