# Matlab大作业ppt终极版.pdf - Reproduction of Papers...

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Reproduction of Papers Scheduling Arrivals to Queues Scheduling Arrivals to Queues: A Single-Server Model with No-Shows Group members: 王帅 周若琪 张伊凡 张唯雪

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1.Problem instruction 2.General model 3.The Equally Spaced Model C O N T E N T S
Structure S(2,p)/M/1 S(3,p)/M/1 S(n,p)/M/1 Unequally Spaced Model Equally Spaced Model

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Problem instruction
Problem instruction 5

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Basic Situation 6 S(3,p)/M/1
We assume that each customer has a probability of p of showing up, and if he shows up he does so exactly at his scheduled arrival time. The objective is to determine a schedule for a fixed number of customers, minimizing the sum of expected customers’ waiting costs and expected server’s availability cost. There is a single server to provide a Markovian service who remains available until the last customer leaves the system. The server has no prior knowledge of which customers will show up; hence, he has to remain available at least until the time the last customer is scheduled to arrive. Customers are served in the order of their scheduled appointments. Denote the scheduled arrival of the kth customer by tk, then if ti =tj, i<j, and both customers i and j show up, customer i is served before customer j.

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