Puzzles
February 2017 (Port in a Storm)
December 2016 (Galaxy on Fire)
October 2016 (Shelter in Place)
August 2016 (Matchup)
June 2016 (Elevators)
April 2016 (Cell Towers)
February 2016 (Toy builder)
December 2015 (Crazy Cake)
October 2015 (Racecar design)
August 2015 (Moon Rover)
June 2015 (Campsite)
April 2015 (Desert Island)
February 2015 (Coins)
December 2014 (Electrifying)
October 2014 (Fighters)
August 2014 (Good Burger)
June 2014 (Frog and Fly)
April 2014 (Spy Catcher)
February 2014 (Pizza Delivery)
December 2013 (Golf Queuing)
October 2013 (Chutes and Ladders)
August 2013 (Urban Planning)
June 2013 (Self Driving Cars)
April 2013 (Subs vs. Battleships)
February 2013 (Chandelier Balancing)
December 2012 (Cookie Bake Off)
October 2012 (FarmOR)
August 2012 (Combination Locks)
June 2012 (Lost at Sea)
April 2012 (McEverywhere)
February 2012 (Popsicle Scheduling)
December 2011 (Dice Game)
October 2011 (Movie Stars)
August 2011 (Logical Hospital)
June 2011 (Matchmaker)
April 2011 (Choose Your Crew)
February 2011 (Best Host)
December 2010 (Miniopoly)
October 2010 (Home Improvement)
August 2010 (Relief Mission)
June 2010 (SurvivOR)
April 2010 (Patient 21)
February 2010 (Planet Colonization)
December 2009 (Fish Finder)
October 2009 (Connected & Infected)
August 2009 (Bridges)
June 2009 (Grocery Queuing)
April 2009 (Dance Scheduling)
February 2009 (Supply & Demand)
December 2008 (5x5 Poker)
October 2008 (3DPP)
August 2008 (Markov's Prison)
June 2008 (TSP)
April 2008 (Scheduling)
February 2008 (Decision Trees)
Answers
About the PuzzlOR
Analytics Treasure Hunt 2012
The PuzzlOR
Decision Support Puzzles for Applied Mathematicians
February 2014 - Pizza Delivery












As the owner of a pizza delivery restaurant, you are constantly looking for ways to keep costs low while maintaining quality service.  Because your profit margins are thin, you’d like the number of delivery drivers to be as low as possible.

You receive orders from customers at an interarrival time of 6 minutes exponentially distributed.  A driver can pick up one order, deliver it to a customer, and return back to the restaurant in 20 to 60 minutes, equally distributed.

The corporate office mandates that you must have an average order delivery time of under 60 minutes.  Some deliveries can be more than 60 minutes and some can be under 60 minutes, but on average they must be below one hour.

You may hire as many drivers as you like.  But hiring too many drivers will cause your payroll to be unnecessarily high and too few drivers will put you over the 60 minute delivery requirement.  Assume that a driver can only deliver one order per round trip.


Question: How many drivers are needed in order to keep average delivery times under one hour?


Send your answer to puzzlor@gmail.com by April 15th, 2014.  The winner, chosen randomly from correct answers, will receive a $25 Amazon Gift Card.

Tweet
© Copyright 2017 - All Rights Reserved