At the order fulfillment center of a major mail-order firm, customer orders, already packaged for shipment, arrive at the sorting machine to be sorted for loading onto the appropriate truck for the parcel's address
The arrival rate at the sorting machine is at the rate of 100 per hour following a Poisson distribution. The machine sorts at the constant rate of 150 per hour.
a. What is the utilization rate of the system?
b. What is the average number of packages waiting to be sorted?
c. What is the average number of packages in the sorting system?
d. How long must the average package wait until it gets sorted?
e. What would Lq and Wq be if the service rate were exponential, not constant?
(a) The utilization rate is = 100/150 = 0.67 or 67 percent;
(b) Lq = [(100)(100)] / [2.(150)(50)] = .67;
(c) Ls = .67 + 100/150 = 1.33;
(d) Wq = 100 / [2.(150)(50)] = 0.0067 hours, or 0.4 minutes(e) Both values would be exactly doubled from the constant service rate results: Lq = 1.33 and Wq = .0133 hours
You might also like to view...
Uncertainty that the party on the other side of an agreement will abide by the terms of the agreement is referred to as
a. credit risk. b. exchange rate risk. c. interest rate risk. d. price risk.
To avoid litigation over impossibility and impracticability issues, modern contracting parties often contract around the doctrine of impossibility, specifying the failures that will excuse performance in their contracts. The clauses in which they do this are called __________ clauses, and they are generally enforced by courts as written.?
A) delta force B) force majeure C) magnum force D) force corporeal
Prepare adjusting entries for the year ended December 31, for each of these separate situations. Assume that prepaid expenses are initially recorded in asset accounts and that fees collected in advance are initially recorded as liabilities.
a. The Prepaid Rent account has a debit balance of $8,000 before adjustment, representing a prepayment for four months' rent made on December 1 of the current year. b. One-third of the work related to $18,000 of cash received in advance was performed during this period. c. Unpaid accrued salaries at December 31 amounts to $15,000 d. Work was completed for a client on December 31 in the amount of $21,000, but was not previously billed or recorded. e. Estimated depreciation on office equipment is $27,000.
Ethnic or group culture is the set of values and beliefs shared by cultures within a nation.
a. true b. false