M / M / 1 / GD / / (Section 4) Little’s queuing formula This is independent of number of servers, queue discipline, interarrival time dist., service time.

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M / M / 1 / GD / / (Section 4) Little’s queuing formula This is independent of number of servers, queue discipline, interarrival time dist., service time dist. IE 417, Chap 22, April 99 Steady-state condition:

Burger-417 Fast-Food = 45 #/hr = 0.75 #/min = 60 #/hr = 1 #/min Based on solution on web. 1 teller1 teller & cashier 2 tellers = 1 = 1.25 = 1 L q # L # W q min W min P w P(j 5) IE 417, Chap 22, May 99

Different Types of Costs in Queuing Systems ($/part)Loss in goodwill = C Waiting time = ($/unit time) Loss of customer = ($/part) IE 417, Chap 22, April 99 Cost of space = ($/part) Lq

M / M / 1 / GD / C / (Section 5) For j = 1, …., C For j = 0, …., C For j = C+1, …., IE 417, Chap 22, May 99

M / M / S / GD / / (Section 6) IE 417, Chap 22, May 99 Steady-state condition: For j = 1, 2, …, SFor j = S+1, S+2, …, Probability that an arriving unit has to wait: Table 6 page 1088

M / M / S / GD / / (Section 6) Cont. IE 417, Chap 22, May 99