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PDF-6.4MB - Faculty of Industrial Engineering and Management

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Primitives: Time-Varying<br />

Predictably<br />

λt exogenous arrival rate;<br />

e.g., continuously changing, sudden peak.<br />

µ 1 t<br />

service rate;<br />

e.g., change in nature <strong>of</strong> work or fatigue.<br />

nt number <strong>of</strong> servers;<br />

e.g., in response to predictably varying workload.<br />

Q1(t) number <strong>of</strong> customers within call center<br />

(queue+service).<br />

βt ab<strong>and</strong>onment rate while waiting;<br />

e.g., in response to IVR discouragement<br />

at predictable overloading.<br />

ψt probability <strong>of</strong> no retrial.<br />

µ 2 t<br />

retrial rate;<br />

if constant, 1/µ 2 – average time to retry.<br />

Q2(t) number <strong>of</strong> customers that will retry (in orbit).<br />

In our examples, we vary λt only, while other primitives<br />

are held constant.<br />

28

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