In such settings, a processor sharing model shall be a more applicable queueing mannequin, yet these models are identified to be considerably extra complex than our queueing model. Our model may be seen as an approximation of such settings. Each service request, the platform will assign one of the out there collaborating providers to serve the shopper.
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That is, the agency can tell an agent she can not work in a given time interval despite the fact that she is keen to do so. Delivery service DoorDash, for example, limits the variety of brokers working in a given space at a given time . We use a newsvendor setting by which demand and capacity can differ from interval to interval and find that the optimum determination is a sublime variant of the classical critical-fractile formulation. Suppose that the agency presents agents a wage of η and receives income p from successfully serving a customer. Under standard staffing (i.e., assuming that the firm can order any number of brokers to work in a given period), the firm would employ sufficient agents so that the chance of turning customers away is η/p.